The document is a copyright notice for materials from a physics textbook that are meant to be used solely by instructors in teaching courses and assessing student learning. It states that dissemination or sale of the materials is not permitted and that recipients are expected to abide by these restrictions.
This document provides copyright information for materials from Pearson Prentice Hall related to physics principles and applications. It states that the work is protected by US copyright laws and is intended solely for use by instructors in teaching courses and assessing student learning. Unauthorized dissemination, sale, or making the materials available to students is not permitted and would compromise the integrity and intended pedagogical purposes of the materials. All recipients are expected to abide by these restrictions.
This document discusses inertial and non-inertial reference frames. It explains that an inertial reference frame is one in which Newton's laws of motion are valid, while a non-inertial frame is one in which they are not valid. When observing motion from a non-inertial frame, such as an accelerating bus, fictitious forces must be introduced to explain the observed motion. The document uses examples of balls on moving trains and subways to illustrate inertial and non-inertial frames. It concludes by relating non-inertial frames to the feeling of weightlessness on roller coasters during free fall.
Here are the key steps to solve this problem:
1. Draw a free body diagram showing the forces acting on the elevator: gravity (Fg) pointing down, tension in the cable (T) pointing up.
2. Write the net force equation from the free body diagram: ΣFy = Fg - T
3. Since the elevator is slowing down, we know the net force is not zero. Use Newton's 2nd law: ΣF = ma. Substitute the net force equation into Newton's 2nd law: (Fg - T) = ma.
4. The question asks for the mass of the elevator, so isolate m on one side of the equation: m =
This document contains a series of physics concept tests about momentum, kinetic energy, forces, and collisions. Each concept test presents students with a multiple choice question about the concepts, followed by an explanation of the correct answer. The concept tests cover topics such as how momentum and kinetic energy relate for different systems, how applied forces affect momentum and velocity, and analyzing collisions between objects.
Newton's laws of motion are summarized as follows: (1) Newton's first law states that an object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force. (2) Newton's second law states that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the object's mass. (3) Newton's third law states that for every action, there is an equal and opposite reaction.
This document contains a series of multiple choice questions and explanations about physics concepts related to work, energy, and force. It discusses topics like whether work can be done on an object at rest, the work done by friction in different situations, kinetic energy changes related to speed and mass, work-energy theorem applications to motion, and more. All content is copyrighted and for instructional use only in teaching physics courses.
The document discusses Newton's laws of motion related to friction. It defines kinetic and static friction, explaining that static friction is usually greater than kinetic friction. Kinetic friction acts in the opposite direction of an object's motion, while static friction prevents objects at rest from slipping. The document provides several examples calculating frictional forces on objects in different situations using the coefficients of kinetic and static friction.
This document provides copyright information for materials from Pearson Prentice Hall related to physics principles and applications. It states that the work is protected by US copyright laws and is intended solely for use by instructors in teaching courses and assessing student learning. Unauthorized dissemination, sale, or making the materials available to students is not permitted and would compromise the integrity and intended pedagogical purposes of the materials. All recipients are expected to abide by these restrictions.
This document discusses inertial and non-inertial reference frames. It explains that an inertial reference frame is one in which Newton's laws of motion are valid, while a non-inertial frame is one in which they are not valid. When observing motion from a non-inertial frame, such as an accelerating bus, fictitious forces must be introduced to explain the observed motion. The document uses examples of balls on moving trains and subways to illustrate inertial and non-inertial frames. It concludes by relating non-inertial frames to the feeling of weightlessness on roller coasters during free fall.
Here are the key steps to solve this problem:
1. Draw a free body diagram showing the forces acting on the elevator: gravity (Fg) pointing down, tension in the cable (T) pointing up.
2. Write the net force equation from the free body diagram: ΣFy = Fg - T
3. Since the elevator is slowing down, we know the net force is not zero. Use Newton's 2nd law: ΣF = ma. Substitute the net force equation into Newton's 2nd law: (Fg - T) = ma.
4. The question asks for the mass of the elevator, so isolate m on one side of the equation: m =
This document contains a series of physics concept tests about momentum, kinetic energy, forces, and collisions. Each concept test presents students with a multiple choice question about the concepts, followed by an explanation of the correct answer. The concept tests cover topics such as how momentum and kinetic energy relate for different systems, how applied forces affect momentum and velocity, and analyzing collisions between objects.
Newton's laws of motion are summarized as follows: (1) Newton's first law states that an object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force. (2) Newton's second law states that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the object's mass. (3) Newton's third law states that for every action, there is an equal and opposite reaction.
This document contains a series of multiple choice questions and explanations about physics concepts related to work, energy, and force. It discusses topics like whether work can be done on an object at rest, the work done by friction in different situations, kinetic energy changes related to speed and mass, work-energy theorem applications to motion, and more. All content is copyrighted and for instructional use only in teaching physics courses.
The document discusses Newton's laws of motion related to friction. It defines kinetic and static friction, explaining that static friction is usually greater than kinetic friction. Kinetic friction acts in the opposite direction of an object's motion, while static friction prevents objects at rest from slipping. The document provides several examples calculating frictional forces on objects in different situations using the coefficients of kinetic and static friction.
Molaba LE, Physical Sciences. Texts on inertiaErnest Molaba
The fundamental implications of inertia are:
1. Inertia is the natural tendency of an object to either remain at rest or continue in a linear motion at a constant velocity.
2. Objects will remain at rest until disturbed by unbalanced forces, and will continue their motion unless acted upon by other unbalanced forces.
3. Inertia implies that a force is not required to sustain an object's motion, but is needed to change its state of motion.
some of the links from the first page are messed up. I recommend you just go through it in order
I also meant cm squared on the pressure units, slide 23
1) This document provides information on physics concepts related to distance, speed, time, velocity, acceleration, forces, momentum, and energy. It includes definitions of key terms, formulas, example problems, and explanations of concepts.
2) Multiple pages cover topics like the relationship between distance, speed, and time; creating and interpreting distance-time graphs; the difference between speed and velocity; calculating acceleration; and more.
3) Example problems are provided throughout to demonstrate how to apply the formulas and concepts to calculate values like speed, acceleration, work done, kinetic energy, momentum, and more. Key physics principles are explained, such as Newton's laws of motion, conservation of momentum, and different types of energy.
The document provides information about forces and work. It defines force as a push or pull and discusses different types of forces including gravitational, frictional, electrostatic, and magnetic forces. It also defines work as the product of the applied force and the distance moved, and power as the rate at which work is done. Methods for reducing friction like lubricants and ball bearings are presented. Examples of calculating work, power, and solving physics problems involving forces are also included.
Momentum is a measure of how difficult it is to stop a moving object. It is defined by the equation momentum (p) equals mass (m) times velocity (v). In a closed system where no external forces act, the total momentum before an event like a collision will equal the total momentum after the event, according to the principle of conservation of momentum.
Newton's Laws describe the motion of objects. Newton's First Law states that objects at rest stay at rest and objects in motion stay in motion with the same speed and direction unless acted upon by an unbalanced force. Newton's Second Law states that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, and inversely proportional to the object's mass. Newton's Third Law states that for every action, there is an equal and opposite reaction.
The document contains multiple physics questions and problems related to forces, motion, friction, pulleys, and other concepts. Questions are posed about the net force on a car rounding a hill, stopping distance and force needed to stop a car, vertical motion under different applied forces, apparent weight loss in elevators, tension in pulley systems, mechanical advantage of pulleys, coefficients of static and kinetic friction, pushing and pulling boxes, acceleration of connected boxes on a pulley, speed and acceleration of a skier descending a slope, which falls faster - an elephant or feather, and other concepts involving forces, motion, and physics. Multiple choice answers are provided for some questions.
The document contains multiple physics questions and problems related to forces, motion, friction, pulleys, and other concepts. Questions are posed about the net force on a car rounding a hill, stopping distance and force needed to stop a car, vertical motion under different applied forces, apparent weight in an elevator, tension in a pulley system, mechanical advantage of a pulley, coefficients of static and kinetic friction, pushing and pulling boxes, acceleration of connected boxes on a pulley, speed and acceleration of a skier descending a slope, which falls faster - an elephant or feather, forces in an accelerating elevator, acceleration of a lowered bucket, relationship between force and time to achieve a final speed, effect of initial speed on change in
This document discusses Newton's laws of motion through examples and questions. It explains that a force is a push or pull that can cause an object to change its motion, position, speed, or direction. Newton's first law states that an object at rest stays at rest and an object in motion stays in motion with the same speed and direction unless acted upon by an unbalanced force. Newton's second law relates the acceleration of an object to the net force acting on it and its mass. Newton's third law states that for every action there is an equal and opposite reaction.
The document outlines a student's science fair project exploring Newton's laws of motion through various experiments. It includes the objectives, procedures, data, and conclusions for experiments on dominoes, ramps, balloons, and Rube Goldberg machines. The student aims to demonstrate Newton's laws, friction, speed and acceleration, simple machines, and alternative energy forms through hands-on experimentation. Labs are designed to test hypotheses and meet specified proficiencies related to physics principles.
Newton's Laws describe the motion of objects. Newton's First Law states that objects at rest stay at rest and objects in motion stay in motion with the same speed and direction unless acted upon by an unbalanced force. Newton's Second Law states that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, and inversely proportional to the object's mass. Newton's Third Law states that for every action, there is an equal and opposite reaction. Free-body diagrams are used to identify all the forces acting on an object and indicate the directions of the forces.
- Dynamics studies the causes of motion rather than just describing motion like kinematics. There are four fundamental forces - gravitation, electromagnetism, weak nuclear force, and strong nuclear force. Forces can be applied, thrust, weight, normal, elastic, tension, friction, air resistance, electric, or magnetic.
- Newton's three laws of motion are: 1) An object at rest stays at rest or an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force. 2) The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, inversely proportional to the mass of the object. 3)
This document contains 20 multi-part physics problems related to impulse, momentum, and conservation of momentum. The problems involve calculating changes in momentum, impulse, forces, and velocities for various scenarios involving objects with different masses interacting or colliding with each other over specified time intervals. Graphs of force over time are also provided for analysis.
Forces and motion were discussed. A force is a push or pull that can cause changes in an object's motion by affecting its position, direction, speed, or acceleration. Newton's three laws of motion state that an object at rest stays at rest and an object in motion stays in motion unless acted on by an unbalanced force, acceleration depends on mass and applied force, and for every action there is an equal and opposite reaction. Simple machines like levers, pulleys, and inclined planes make work easier by trading force for distance.
Momentum relates to many concepts we have learned in physics:
- It is a measure of an object's motion, combining its mass and velocity.
- Newton's second law tells us that force causes a change in momentum over time. A larger force creates a greater change in momentum.
- In collisions and explosions, momentum is conserved. The total momentum before the interaction equals the total momentum after.
- Impulse is the change in momentum an object experiences due to an applied force over time. It equals the average force times the time interval.
- Increasing or decreasing momentum involves changing an object's velocity over time through the application of forces. Extending the time of an impact reduces the average force.
Newton's second law states that the acceleration of an object depends on two variables: the net force acting on the object and the object's mass. The acceleration is directly proportional to the net force and inversely proportional to the mass. Mathematically, this is expressed as: acceleration = net force / mass. The net force is the sum of all forces acting on the object. If the net force is zero, the object does not accelerate.
This document contains copyrighted content from a physics textbook and associated materials. It provides multiple choice questions about concepts related to forces, circular motion, gravity, and orbits. The questions are accompanied by explanations of the correct answers focusing on concepts like centripetal force, gravity, and how forces vary with distance.
What is greenhouse gasses and how many gasses are there to affect the Earth.moosaasad1975
What are greenhouse gasses how they affect the earth and its environment what is the future of the environment and earth how the weather and the climate effects.
Molaba LE, Physical Sciences. Texts on inertiaErnest Molaba
The fundamental implications of inertia are:
1. Inertia is the natural tendency of an object to either remain at rest or continue in a linear motion at a constant velocity.
2. Objects will remain at rest until disturbed by unbalanced forces, and will continue their motion unless acted upon by other unbalanced forces.
3. Inertia implies that a force is not required to sustain an object's motion, but is needed to change its state of motion.
some of the links from the first page are messed up. I recommend you just go through it in order
I also meant cm squared on the pressure units, slide 23
1) This document provides information on physics concepts related to distance, speed, time, velocity, acceleration, forces, momentum, and energy. It includes definitions of key terms, formulas, example problems, and explanations of concepts.
2) Multiple pages cover topics like the relationship between distance, speed, and time; creating and interpreting distance-time graphs; the difference between speed and velocity; calculating acceleration; and more.
3) Example problems are provided throughout to demonstrate how to apply the formulas and concepts to calculate values like speed, acceleration, work done, kinetic energy, momentum, and more. Key physics principles are explained, such as Newton's laws of motion, conservation of momentum, and different types of energy.
The document provides information about forces and work. It defines force as a push or pull and discusses different types of forces including gravitational, frictional, electrostatic, and magnetic forces. It also defines work as the product of the applied force and the distance moved, and power as the rate at which work is done. Methods for reducing friction like lubricants and ball bearings are presented. Examples of calculating work, power, and solving physics problems involving forces are also included.
Momentum is a measure of how difficult it is to stop a moving object. It is defined by the equation momentum (p) equals mass (m) times velocity (v). In a closed system where no external forces act, the total momentum before an event like a collision will equal the total momentum after the event, according to the principle of conservation of momentum.
Newton's Laws describe the motion of objects. Newton's First Law states that objects at rest stay at rest and objects in motion stay in motion with the same speed and direction unless acted upon by an unbalanced force. Newton's Second Law states that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, and inversely proportional to the object's mass. Newton's Third Law states that for every action, there is an equal and opposite reaction.
The document contains multiple physics questions and problems related to forces, motion, friction, pulleys, and other concepts. Questions are posed about the net force on a car rounding a hill, stopping distance and force needed to stop a car, vertical motion under different applied forces, apparent weight loss in elevators, tension in pulley systems, mechanical advantage of pulleys, coefficients of static and kinetic friction, pushing and pulling boxes, acceleration of connected boxes on a pulley, speed and acceleration of a skier descending a slope, which falls faster - an elephant or feather, and other concepts involving forces, motion, and physics. Multiple choice answers are provided for some questions.
The document contains multiple physics questions and problems related to forces, motion, friction, pulleys, and other concepts. Questions are posed about the net force on a car rounding a hill, stopping distance and force needed to stop a car, vertical motion under different applied forces, apparent weight in an elevator, tension in a pulley system, mechanical advantage of a pulley, coefficients of static and kinetic friction, pushing and pulling boxes, acceleration of connected boxes on a pulley, speed and acceleration of a skier descending a slope, which falls faster - an elephant or feather, forces in an accelerating elevator, acceleration of a lowered bucket, relationship between force and time to achieve a final speed, effect of initial speed on change in
This document discusses Newton's laws of motion through examples and questions. It explains that a force is a push or pull that can cause an object to change its motion, position, speed, or direction. Newton's first law states that an object at rest stays at rest and an object in motion stays in motion with the same speed and direction unless acted upon by an unbalanced force. Newton's second law relates the acceleration of an object to the net force acting on it and its mass. Newton's third law states that for every action there is an equal and opposite reaction.
The document outlines a student's science fair project exploring Newton's laws of motion through various experiments. It includes the objectives, procedures, data, and conclusions for experiments on dominoes, ramps, balloons, and Rube Goldberg machines. The student aims to demonstrate Newton's laws, friction, speed and acceleration, simple machines, and alternative energy forms through hands-on experimentation. Labs are designed to test hypotheses and meet specified proficiencies related to physics principles.
Newton's Laws describe the motion of objects. Newton's First Law states that objects at rest stay at rest and objects in motion stay in motion with the same speed and direction unless acted upon by an unbalanced force. Newton's Second Law states that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, and inversely proportional to the object's mass. Newton's Third Law states that for every action, there is an equal and opposite reaction. Free-body diagrams are used to identify all the forces acting on an object and indicate the directions of the forces.
- Dynamics studies the causes of motion rather than just describing motion like kinematics. There are four fundamental forces - gravitation, electromagnetism, weak nuclear force, and strong nuclear force. Forces can be applied, thrust, weight, normal, elastic, tension, friction, air resistance, electric, or magnetic.
- Newton's three laws of motion are: 1) An object at rest stays at rest or an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force. 2) The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, inversely proportional to the mass of the object. 3)
This document contains 20 multi-part physics problems related to impulse, momentum, and conservation of momentum. The problems involve calculating changes in momentum, impulse, forces, and velocities for various scenarios involving objects with different masses interacting or colliding with each other over specified time intervals. Graphs of force over time are also provided for analysis.
Forces and motion were discussed. A force is a push or pull that can cause changes in an object's motion by affecting its position, direction, speed, or acceleration. Newton's three laws of motion state that an object at rest stays at rest and an object in motion stays in motion unless acted on by an unbalanced force, acceleration depends on mass and applied force, and for every action there is an equal and opposite reaction. Simple machines like levers, pulleys, and inclined planes make work easier by trading force for distance.
Momentum relates to many concepts we have learned in physics:
- It is a measure of an object's motion, combining its mass and velocity.
- Newton's second law tells us that force causes a change in momentum over time. A larger force creates a greater change in momentum.
- In collisions and explosions, momentum is conserved. The total momentum before the interaction equals the total momentum after.
- Impulse is the change in momentum an object experiences due to an applied force over time. It equals the average force times the time interval.
- Increasing or decreasing momentum involves changing an object's velocity over time through the application of forces. Extending the time of an impact reduces the average force.
Newton's second law states that the acceleration of an object depends on two variables: the net force acting on the object and the object's mass. The acceleration is directly proportional to the net force and inversely proportional to the mass. Mathematically, this is expressed as: acceleration = net force / mass. The net force is the sum of all forces acting on the object. If the net force is zero, the object does not accelerate.
This document contains copyrighted content from a physics textbook and associated materials. It provides multiple choice questions about concepts related to forces, circular motion, gravity, and orbits. The questions are accompanied by explanations of the correct answers focusing on concepts like centripetal force, gravity, and how forces vary with distance.
What is greenhouse gasses and how many gasses are there to affect the Earth.moosaasad1975
What are greenhouse gasses how they affect the earth and its environment what is the future of the environment and earth how the weather and the climate effects.
EWOCS-I: The catalog of X-ray sources in Westerlund 1 from the Extended Weste...Sérgio Sacani
Context. With a mass exceeding several 104 M⊙ and a rich and dense population of massive stars, supermassive young star clusters
represent the most massive star-forming environment that is dominated by the feedback from massive stars and gravitational interactions
among stars.
Aims. In this paper we present the Extended Westerlund 1 and 2 Open Clusters Survey (EWOCS) project, which aims to investigate
the influence of the starburst environment on the formation of stars and planets, and on the evolution of both low and high mass stars.
The primary targets of this project are Westerlund 1 and 2, the closest supermassive star clusters to the Sun.
Methods. The project is based primarily on recent observations conducted with the Chandra and JWST observatories. Specifically,
the Chandra survey of Westerlund 1 consists of 36 new ACIS-I observations, nearly co-pointed, for a total exposure time of 1 Msec.
Additionally, we included 8 archival Chandra/ACIS-S observations. This paper presents the resulting catalog of X-ray sources within
and around Westerlund 1. Sources were detected by combining various existing methods, and photon extraction and source validation
were carried out using the ACIS-Extract software.
Results. The EWOCS X-ray catalog comprises 5963 validated sources out of the 9420 initially provided to ACIS-Extract, reaching a
photon flux threshold of approximately 2 × 10−8 photons cm−2
s
−1
. The X-ray sources exhibit a highly concentrated spatial distribution,
with 1075 sources located within the central 1 arcmin. We have successfully detected X-ray emissions from 126 out of the 166 known
massive stars of the cluster, and we have collected over 71 000 photons from the magnetar CXO J164710.20-455217.
The ability to recreate computational results with minimal effort and actionable metrics provides a solid foundation for scientific research and software development. When people can replicate an analysis at the touch of a button using open-source software, open data, and methods to assess and compare proposals, it significantly eases verification of results, engagement with a diverse range of contributors, and progress. However, we have yet to fully achieve this; there are still many sociotechnical frictions.
Inspired by David Donoho's vision, this talk aims to revisit the three crucial pillars of frictionless reproducibility (data sharing, code sharing, and competitive challenges) with the perspective of deep software variability.
Our observation is that multiple layers — hardware, operating systems, third-party libraries, software versions, input data, compile-time options, and parameters — are subject to variability that exacerbates frictions but is also essential for achieving robust, generalizable results and fostering innovation. I will first review the literature, providing evidence of how the complex variability interactions across these layers affect qualitative and quantitative software properties, thereby complicating the reproduction and replication of scientific studies in various fields.
I will then present some software engineering and AI techniques that can support the strategic exploration of variability spaces. These include the use of abstractions and models (e.g., feature models), sampling strategies (e.g., uniform, random), cost-effective measurements (e.g., incremental build of software configurations), and dimensionality reduction methods (e.g., transfer learning, feature selection, software debloating).
I will finally argue that deep variability is both the problem and solution of frictionless reproducibility, calling the software science community to develop new methods and tools to manage variability and foster reproducibility in software systems.
Exposé invité Journées Nationales du GDR GPL 2024
BREEDING METHODS FOR DISEASE RESISTANCE.pptxRASHMI M G
Plant breeding for disease resistance is a strategy to reduce crop losses caused by disease. Plants have an innate immune system that allows them to recognize pathogens and provide resistance. However, breeding for long-lasting resistance often involves combining multiple resistance genes
Remote Sensing and Computational, Evolutionary, Supercomputing, and Intellige...University of Maribor
Slides from talk:
Aleš Zamuda: Remote Sensing and Computational, Evolutionary, Supercomputing, and Intelligent Systems.
11th International Conference on Electrical, Electronics and Computer Engineering (IcETRAN), Niš, 3-6 June 2024
Inter-Society Networking Panel GRSS/MTT-S/CIS Panel Session: Promoting Connection and Cooperation
https://www.etran.rs/2024/en/home-english/
This presentation explores a brief idea about the structural and functional attributes of nucleotides, the structure and function of genetic materials along with the impact of UV rays and pH upon them.
Travis Hills' Endeavors in Minnesota: Fostering Environmental and Economic Pr...Travis Hills MN
Travis Hills of Minnesota developed a method to convert waste into high-value dry fertilizer, significantly enriching soil quality. By providing farmers with a valuable resource derived from waste, Travis Hills helps enhance farm profitability while promoting environmental stewardship. Travis Hills' sustainable practices lead to cost savings and increased revenue for farmers by improving resource efficiency and reducing waste.
Professional air quality monitoring systems provide immediate, on-site data for analysis, compliance, and decision-making.
Monitor common gases, weather parameters, particulates.
hematic appreciation test is a psychological assessment tool used to measure an individual's appreciation and understanding of specific themes or topics. This test helps to evaluate an individual's ability to connect different ideas and concepts within a given theme, as well as their overall comprehension and interpretation skills. The results of the test can provide valuable insights into an individual's cognitive abilities, creativity, and critical thinking skills
DERIVATION OF MODIFIED BERNOULLI EQUATION WITH VISCOUS EFFECTS AND TERMINAL V...Wasswaderrick3
In this book, we use conservation of energy techniques on a fluid element to derive the Modified Bernoulli equation of flow with viscous or friction effects. We derive the general equation of flow/ velocity and then from this we derive the Pouiselle flow equation, the transition flow equation and the turbulent flow equation. In the situations where there are no viscous effects , the equation reduces to the Bernoulli equation. From experimental results, we are able to include other terms in the Bernoulli equation. We also look at cases where pressure gradients exist. We use the Modified Bernoulli equation to derive equations of flow rate for pipes of different cross sectional areas connected together. We also extend our techniques of energy conservation to a sphere falling in a viscous medium under the effect of gravity. We demonstrate Stokes equation of terminal velocity and turbulent flow equation. We look at a way of calculating the time taken for a body to fall in a viscous medium. We also look at the general equation of terminal velocity.
2. ConcepTest 4.1a Newton’s First Law I
1) there is a net force but the book has too
much inertia
2) there are no forces acting on it at all
3) it does move, but too slowly to be seen
4) there is no net force on the book
5) there is a net force, but the book is too
heavy to move
A book is lying at
rest on a table.
The book will
remain there at
rest because:
3. There are forces acting on the book, but the only
forces acting are in the y-direction. Gravity acts
downward, but the table exerts an upward force
that is equally strong, so the two forces cancel,
leaving no net force.
ConcepTest 4.1a Newton’s First Law I
1) there is a net force but the book has too
much inertia
2) there are no forces acting on it at all
3) it does move, but too slowly to be seen
4) there is no net force on the book
5) there is a net force, but the book is too
heavy to move
A book is lying at
rest on a table.
The book will
remain there at
rest because:
4. ConcepTest 4.1b Newton’s First Law II
1) more than its weight
2) equal to its weight
3) less than its weight but more than zero
4) depends on the speed of the puck
5) zero
A hockey puck
slides on ice at
constant velocity.
What is the net
force acting on
the puck?
5. The puck is moving at a constant velocity, and
therefore it is not accelerating. Thus, there must
be no net force acting on the puck.
ConcepTest 4.1b Newton’s First Law II
1) more than its weight
2) equal to its weight
3) less than its weight but more than zero
4) depends on the speed of the puck
5) zero
A hockey puck
slides on ice at
constant velocity.
What is the net
force acting on
the puck?
Follow-up: Are there any forces acting on the puck? What are they?
6. 1) a net force acted on it
2) no net force acted on it
3) it remained at rest
4) it did not move, but only seemed to
5) gravity briefly stopped acting on it
ConcepTest 4.1c Newton’s First Law III
You put your book on
the bus seat next to
you. When the bus
stops suddenly, the
book slides forward off
the seat. Why?
7. 1) a net force acted on it
2) no net force acted on it
3) it remained at rest
4) it did not move, but only seemed to
5) gravity briefly stopped acting on it
The book was initially moving forward (since it was
on a moving bus). When the bus stopped, the book
continued moving forward, which was its initial state
of motion, and therefore it slid forward off the seat.
ConcepTest 4.1c Newton’s First Law III
You put your book on
the bus seat next to
you. When the bus
stops suddenly, the
book slides forward off
the seat. Why?
Follow-up: What is the force that usually keeps the book on the seat?
8. ConcepTest 4.1d Newton’s First Law IV
1) the force pushing the stone forward
finally stopped pushing on it
2) no net force acted on the stone
3) a net force acted on it all along
4) the stone simply “ran out of steam”
5) the stone has a natural tendency to be
at rest
You kick a smooth flat
stone out on a frozen
pond. The stone slides,
slows down and
eventually stops. You
conclude that:
9. After the stone was kicked, no force was pushing
it along! However, there must have been some
force acting on the stone to slow it down and stop
it. This would be friction!!
ConcepTest 4.1d Newton’s First Law IV
1) the force pushing the stone forward
finally stopped pushing on it
2) no net force acted on the stone
3) a net force acted on it all along
4) the stone simply “ran out of steam”
5) the stone has a natural tendency to be
at rest
You kick a smooth flat
stone out on a frozen
pond. The stone slides,
slows down and
eventually stops. You
conclude that:
Follow-up: What would you have to do to keep the stone moving?
10. ConcepTest 4.2a Cart on Track I
1) slowly come to a stop
2) continue with constant acceleration
3) continue with decreasing acceleration
4) continue with constant velocity
5) immediately come to a stop
Consider a cart on a
horizontal frictionless
table. Once the cart has
been given a push and
released, what will
happen to the cart?
11. ConcepTest 4.2a Cart on Track I
1) slowly come to a stop
2) continue with constant acceleration
3) continue with decreasing acceleration
4) continue with constant velocity
5) immediately come to a stop
Consider a cart on a
horizontal frictionless
table. Once the cart has
been given a push and
released, what will
happen to the cart?
After the cart is released, there is no longer a force in
the x-direction. This does not mean that the cart stops
moving!! It simply means that the cart will continue
moving with the same velocity it had at the moment of
release. The initial push got the cart moving, but that
force is not needed to keep the cart in motion.
12. ConcepTest 4.2b Cart on Track II
We just decided that the
cart continues with
constant velocity. What
would have to be done in
order to have the cart
continue with constant
acceleration?
1) push the cart harder before release
2) push the cart longer before release
3) push the cart continuously
4) change the mass of the cart
5) it is impossible to do that
13. In order to achieve a non-zero acceleration, it is
necessary to maintain the applied force. The
only way to do this would be to continue pushing
the cart as it moves down the track. This will
lead us to a discussion of Newton’s Second Law.
ConcepTest 4.2b Cart on Track II
We just decided that the
cart continues with
constant velocity. What
would have to be done in
order to have the cart
continue with constant
acceleration?
1) push the cart harder before release
2) push the cart longer before release
3) push the cart continuously
4) change the mass of the cart
5) it is impossible to do that
14. ConcepTest 4.3 Truck on Frozen Lake
A very large truck sits on a
frozen lake. Assume there
is no friction between the
tires and the ice. A fly
suddenly smashes against
the front window. What
will happen to the truck?
1) it is too heavy, so it just sits there
2) it moves backward at const. speed
3) it accelerates backward
4) it moves forward at const. speed
5) it accelerates forward
15. When the fly hit the truck, it exerted a force on the truck
(only for a fraction of a second). So, in this time period,
the truck accelerated (backwards) up to some speed.
After the fly was squashed, it no longer exerted a force,
and the truck simply continued moving at constant speed.
ConcepTest 4.3 Truck on Frozen Lake
A very large truck sits on a
frozen lake. Assume there
is no friction between the
tires and the ice. A fly
suddenly smashes against
the front window. What
will happen to the truck?
1) it is too heavy, so it just sits there
2) it moves backward at const. speed
3) it accelerates backward
4) it moves forward at const. speed
5) it accelerates forward
Follow-up: What is the truck doing 5 minutes after the fly hit it?
16. ConcepTest 4.4a Off to the Races I
1) 16 s
2) 8 s
3) 4 s
4) 2 s
5) 1 s
From rest, we step on the gas of our
Ferrari, providing a force F for 4 secs,
speeding it up to a final speed v. If the
applied force were only 1/2 F, how long
would it have to be applied to reach
the same final speed?
v
F
17. In the first case, the acceleration
acts over time T = 4 s to give
velocity v = aT. In the second
case, the force is half, therefore
the acceleration is also half, so
to achieve the same final speed,
the time must be doubled.
ConcepTest 4.4a Off to the Races I
1) 16 s
2) 8 s
3) 4 s
4) 2 s
5) 1 s
From rest, we step on the gas of our
Ferrari, providing a force F for 4 secs,
speeding it up to a final speed v. If the
applied force were only 1/2 F, how long
would it have to be applied to reach
the same final speed?
v
F
18. From rest, we step on the gas of our
Ferrari, providing a force F for 4 secs.
During this time, the car moves 50 m.
If the same force would be applied for
8 secs, how much would the car have
traveled during this time?
1) 250 m
2) 200 m
3) 150 m
4) 100 m
5) 50 m
ConcepTest 4.4b Off to the Races II
v
F
19. In the first case, the acceleration
acts over time T = 4 s, to give a
distance of x = ½aT2 (why is
there no v0T term?). In the 2nd
case, the time is doubled, so the
distance is quadrupled because
it goes as the square of the time.
From rest, we step on the gas of our
Ferrari, providing a force F for 4 secs.
During this time, the car moves 50 m.
If the same force would be applied for
8 secs, how much would the car have
traveled during this time?
1) 250 m
2) 200 m
3) 150 m
4) 100 m
5) 50 m
ConcepTest 4.4b Off to the Races II
v
F
20. 1) 100 m
2) 50 m < x < 100 m
3) 50 m
4) 25 m < x < 50 m
5) 25 m
We step on the brakes of our Ferrari,
providing a force F for 4 secs. During
this time, the car moves 25 m, but does
not stop. If the same force would be
applied for 8 secs, how far would the car
have traveled during this time?
ConcepTest 4.4c Off to the Races III
v
F
21. In the first 4 secs, the car has
still moved 25 m. However,
since the car is slowing
down, in the next 4 secs, it
must cover less distance.
Therefore, the total distance
must be more than 25 m but
less than 50 m.
1) 100 m
2) 50 m < x < 100 m
3) 50 m
4) 25 m < x < 50 m
5) 25 m
We step on the brakes of our Ferrari,
providing a force F for 4 secs. During
this time, the car moves 25 m, but does
not stop. If the same force would be
applied for 8 secs, how far would the car
have traveled during this time?
ConcepTest 4.4c Off to the Races III
v
F
22. 1) 200 km/hr
2) 100 km/hr
3) 90 km/hr
4) 70 km/hr
5) 50 km/hr
From rest, we step on the gas of our
Ferrari, providing a force F for 40 m,
speeding it up to a final speed 50
km/hr. If the same force would be
applied for 80 m, what final speed
would the car reach?
ConcepTest 4.4d Off to the Races IV
v
F
23. 1) 200 km/hr
2) 100 km/hr
3) 90 km/hr
4) 70 km/hr
5) 50 km/hr
From rest, we step on the gas of our
Ferrari, providing a force F for 40 m,
speeding it up to a final speed 50
km/hr. If the same force would be
applied for 80 m, what final speed
would the car reach?
In the first case, the acceleration
acts over a distance x = 40 m, to
give a final speed of v2 = 2ax
(why is there no v0
2 term?).
In the 2nd case, the distance is
doubled, so the speed increases
by a factor of 2 .
ConcepTest 4.4d Off to the Races IV
v
F
24. ConcepTest 4.5 Force and Mass
1) 4 v
2) 2 v
3) v
4) 1/2 v
5) 1/4 v
A force F acts on mass M for a
time interval T, giving it a final
speed v. If the same force acts
for the same time on a different
mass 2M, what would be the
final speed of the bigger mass?
25. In the first case, the acceleration acts over time T to give
velocity v = aT. In the second case, the mass is doubled,
so the acceleration is cut in half, therefore, in the same
time T, the final speed will only be half as much.
ConcepTest 4.5 Force and Mass
1) 4 v
2) 2 v
3) v
4) 1/2 v
5) 1/4 v
A force F acts on mass M for a
time interval T, giving it a final
speed v. If the same force acts
for the same time on a different
mass 2M, what would be the
final speed of the bigger mass?
Follow-up: What would you have to do to get 2M to reach speed v?
26. F a1
m1
F
m2 m1
a
3
1) 3/4 a1
2) 3/2 a1
3) 1/2 a1
4) 4/3 a1
5) 2/3 a1
A force F acts on mass m1 giving acceleration
a1. The same force acts on a different mass m2
giving acceleration a2 = 2a1. If m1 and m2 are
glued together and the same force F acts on this
combination, what is the resulting acceleration?
F
a2 = 2a1
m2
ConcepTest 4.6 Force and Two Masses
27. Mass m2 must be (1/2)m1 because its
acceleration was 2a1 with the same
force. Adding the two masses
together gives (3/2)m1, leading to an
acceleration of (2/3)a1 for the same
applied force.
F = m1 a1
F a1
m1
F
m2 m1
a
3
F = (3/2)m1 a3 => a3 = (2/3) a1
1) 3/4 a1
2) 3/2 a1
3) 1/2 a1
4) 4/3 a1
5) 2/3 a1
A force F acts on mass m1 giving acceleration
a1. The same force acts on a different mass m2
giving acceleration a2 = 2a1. If m1 and m2 are
glued together and the same force F acts on this
combination, what is the resulting acceleration?
F
a2 = 2a1
m2
F = m2 a2 = (1/2 m1 )(2a1 )
ConcepTest 4.6 Force and Two Masses
28. ConcepTest 4.7a Gravity and Weight I
1) Fg is greater on the feather
2) Fg is greater on the stone
3) Fg is zero on both due to vacuum
4) Fg is equal on both always
5) Fg is zero on both always
What can you say
about the force of
gravity Fg acting on a
stone and a feather?
29. The force of gravity (weight) depends
on the mass of the object!! The stone
has more mass, therefore more weight.
ConcepTest 4.7a Gravity and Weight I
1) Fg is greater on the feather
2) Fg is greater on the stone
3) Fg is zero on both due to vacuum
4) Fg is equal on both always
5) Fg is zero on both always
What can you say
about the force of
gravity Fg acting on a
stone and a feather?
30. 1) it is greater on the feather
2) it is greater on the stone
3) it is zero on both due to vacuum
4) it is equal on both always
5) it is zero on both always
What can you say
about the acceleration
of gravity acting on the
stone and the feather?
ConcepTest 4.7b Gravity and Weight II
31. The acceleration is given by F/m so
here the mass divides out. Since we
know that the force of gravity (weight)
is mg, then we end up with acceleration
g for both objects.
1) it is greater on the feather
2) it is greater on the stone
3) it is zero on both due to vacuum
4) it is equal on both always
5) it is zero on both always
What can you say
about the acceleration
of gravity acting on the
stone and the feather?
ConcepTest 4.7b Gravity and Weight II
Follow-up: Which one hits the bottom first?
32. ConcepTest 4.8 On the Moon
An astronaut on Earth kicks
a bowling ball and hurts his
foot. A year later, the same
astronaut kicks a bowling
ball on the Moon with the
same force. His foot hurts...
1) more
2) less
3) the same
Ouch!
33. The masses of both the bowling ball
and the astronaut remain the same, so
his foot feels the same resistance and
hurts the same as before.
ConcepTest 4.8 On the Moon
An astronaut on Earth kicks
a bowling ball and hurts his
foot. A year later, the same
astronaut kicks a bowling
ball on the Moon with the
same force. His foot hurts...
1) more
2) less
3) the same
Follow-up: What is different about
the bowling ball on the Moon?
Ouch!
34. ConcepTest 4.9a Going Up I
A block of mass m rests on the floor of
an elevator that is moving upward at
constant speed. What is the
relationship between the force due to
gravity and the normal force on the
block?
1) N > mg
2) N = mg
3) N < mg (but not zero)
4) N = 0
5) depends on the size of the
elevator
m
v
35. The block is moving at constant speed, so
it must have no net force on it. The forces
on it are N (up) and mg (down), so N = mg,
just like the block at rest on a table.
ConcepTest 4.9a Going Up I
A block of mass m rests on the floor of
an elevator that is moving upward at
constant speed. What is the
relationship between the force due to
gravity and the normal force on the
block?
1) N > mg
2) N = mg
3) N < mg (but not zero)
4) N = 0
5) depends on the size of the
elevator
m
v
36. A block of mass m rests on the
floor of an elevator that is
accelerating upward. What is
the relationship between the
force due to gravity and the
normal force on the block?
1) N > mg
2) N = mg
3) N < mg (but not zero)
4) N = 0
5) depends on the size of the
elevator
ConcepTest 4.9b Going Up II
m
a
37. The block is accelerating upward, so
it must have a net upward force. The
forces on it are N (up) and mg (down),
so N must be greater than mg in order
to give the net upward force!
1) N > mg
2) N = mg
3) N < mg (but not zero)
4) N = 0
5) depends on the size of the
elevator
S F = N – mg = ma > 0
N > mg
m
a > 0
mg
N
A block of mass m rests on the
floor of an elevator that is
accelerating upward. What is
the relationship between the
force due to gravity and the
normal force on the block?
ConcepTest 4.9b Going Up II
Follow-up: What is the normal force if
the elevator is in free fall downward?
38. ConcepTest 4.10 Normal Force
Case 1
Case 2
Below you see two cases: a
physics student pulling or
pushing a sled with a force F
which is applied at an angle q.
In which case is the normal
force greater?
1) case 1
2) case 2
3) it’s the same for both
4) depends on the magnitude of
the force F
5) depends on the ice surface
39. In Case 1, the force F is pushing down
(in addition to mg), so the normal force
needs to be larger. In Case 2, the force F
is pulling up, against gravity, so the
normal force is lessened.
ConcepTest 4.10 Normal Force
Case 1
Case 2
Below you see two cases: a
physics student pulling or
pushing a sled with a force F
which is applied at an angle q.
In which case is the normal
force greater?
1) case 1
2) case 2
3) it’s the same for both
4) depends on the magnitude of
the force F
5) depends on the ice surface
40. ConcepTest 4.11 On an Incline
1) case A
2) case B
3) both the same (N = mg)
4) both the same (0 < N < mg)
5) both the same (N = 0)
Consider two identical blocks,
one resting on a flat surface,
and the other resting on an
incline. For which case is the
normal force greater?
41. 1) case A
2) case B
3) both the same (N = mg)
4) both the same (0 < N < mg)
5) both the same (N = 0)
N
W
Wy
x
y
f
q
q
ConcepTest 4.11 On an Incline
Consider two identical blocks,
one resting on a flat surface,
and the other resting on an
incline. For which case is the
normal force greater?
In Case A, we know that N = W.
In Case B, due to the angle of
the incline, N < W. In fact, we
can see that N = W cos(q).
42. ConcepTest 4.12 Climbing the Rope
When you climb up a rope,
the first thing you do is pull
down on the rope. How do
you manage to go up the
rope by doing that?
1) this slows your initial velocity which
is already upward
2) you don’t go up, you’re too heavy
3) you’re not really pulling down – it
just seems that way
4) the rope actually pulls you up
5) you are pulling the ceiling down
43. When you pull down on the rope, the rope pulls up on
you!! It is actually this upward force by the rope that
makes you move up! This is the “reaction” force (by the
rope on you) to the force that you exerted on the rope.
And voilá, this is Newton’s 3rd Law.
ConcepTest 4.12 Climbing the Rope
When you climb up a rope,
the first thing you do is pull
down on the rope. How do
you manage to go up the
rope by doing that??
1) this slows your initial velocity which
is already upward
2) you don’t go up, you’re too heavy
3) you’re not really pulling down – it
just seems that way
4) the rope actually pulls you up
5) you are pulling the ceiling down
44. F12 F21
1) the bowling ball exerts a greater
force on the ping-pong ball
2) the ping-pong ball exerts a greater
force on the bowling ball
3) the forces are equal
4) the forces are zero because they
cancel out
5) there are actually no forces at all
ConcepTest 4.13a Bowling vs. Ping-Pong I
In outer space, a bowling
ball and a ping-pong ball
attract each other due to
gravitational forces. How
do the magnitudes of these
attractive forces compare?
45. F12 F21
The forces are equal and
opposite by Newton’s 3rd
Law!
1) the bowling ball exerts a greater
force on the ping-pong ball
2) the ping-pong ball exerts a greater
force on the bowling ball
3) the forces are equal
4) the forces are zero because they
cancel out
5) there are actually no forces at all
ConcepTest 4.13a Bowling vs. Ping-Pong I
In outer space, a bowling
ball and a ping-pong ball
attract each other due to
gravitational forces. How
do the magnitudes of these
attractive forces compare?
46. In outer space, gravitational
forces exerted by a bowling
ball and a ping-pong ball on
each other are equal and
opposite. How do their
accelerations compare?
1) they do not accelerate because
they are weightless
2) accels. are equal, but not opposite
3) accelerations are opposite, but
bigger for the bowling ball
4) accelerations are opposite, but
bigger for the ping-pong ball
5) accels. are equal and opposite
ConcepTest 4.13b Bowling vs. Ping-Pong II
F12 F21
47. The forces are equal and opposite --
this is Newton’s 3rd Law!! But the
acceleration is F/m and so the smaller
mass has the bigger acceleration.
In outer space, gravitational
forces exerted by a bowling
ball and a ping-pong ball on
each other are equal and
opposite. How do their
accelerations compare?
1) they do not accelerate because
they are weightless
2) accels. are equal, but not opposite
3) accelerations are opposite, but
bigger for the bowling ball
4) accelerations are opposite, but
bigger for the ping-pong ball
5) accels. are equal and opposite
ConcepTest 4.13b Bowling vs. Ping-Pong II
F12 F21
Follow-up: Where will the balls meet if
they are released from this position?
48. ConcepTest 4.14a Collision Course I
A small car collides with
a large truck. Which
experiences the greater
impact force?
1) the car
2) the truck
3) both the same
4) it depends on the velocity of each
5) it depends on the mass of each
49. ConcepTest 4.14a Collision Course I
A small car collides with
a large truck. Which
experiences the greater
impact force?
1) the car
2) the truck
3) both the same
4) it depends on the velocity of each
5) it depends on the mass of each
According to Newton’s 3rd Law, both vehicles experience
the same magnitude of force.
50. 1) the car
2) the truck
3) both the same
4) it depends on the velocity of each
5) it depends on the mass of each
In the collision between
the car and the truck,
which has the greater
acceleration?
ConcepTest 4.14b Collision Course II
51. 1) the car
2) the truck
3) both the same
4) it depends on the velocity of each
5) it depends on the mass of each
In the collision between
the car and the truck,
which has the greater
acceleration?
ConcepTest 4.14b Collision Course II
We have seen that both
vehicles experience the
same magnitude of force.
But the acceleration is
given by F/m so the car
has the larger acceleration,
since it has the smaller
mass.
52. ConcepTest 4.15a Contact Force I
If you push with force F on either
the heavy box (m1) or the light
box (m2), in which of the two
cases below is the contact force
between the two boxes larger?
1) case A
2) case B
3) same in both cases
F
m2
m1
A
F
m2
m1
B
53. ConcepTest 4.15a Contact Force I
The acceleration of both masses together
is the same in either case. But the contact
force is the only force that accelerates m1
in case A (or m2 in case B). Since m1 is the
larger mass, it requires the larger contact
force to achieve the same acceleration.
If you push with force F on either
the heavy box (m1) or the light
box (m2), in which of the two
cases below is the contact force
between the two boxes larger?
1) case A
2) case B
3) same in both cases
F
m2
m1
A
F
m2
m1
B
Follow-up: What is the accel. of each mass?
54. ConcepTest 4.15b Contact Force II
2m m
F
Two blocks of masses 2m and m
are in contact on a horizontal
frictionless surface. If a force F
is applied to mass 2m, what is
the force on mass m ?
1) 2 F
2) F
3) 1/2 F
4) 1/3 F
5) 1/4 F
55. The force F leads to a specific
acceleration of the entire system. In
order for mass m to accelerate at the
same rate, the force on it must be
smaller! How small?? Let’s see...
ConcepTest 4.15b Contact Force II
2m m
F
Two blocks of masses 2m and m
are in contact on a horizontal
frictionless surface. If a force F
is applied to mass 2m, what is
the force on mass m ?
1) 2 F
2) F
3) 1/2 F
4) 1/3 F
5) 1/4 F
Follow-up: What is the acceleration of each mass?
56. ConcepTest 4.16a Tension I
1) 0 N
2) 50 N
3) 100 N
4) 150 N
5) 200 N
You tie a rope to a tree and you
pull on the rope with a force of
100 N. What is the tension in
the rope?
57. The tension in the rope is the force that the rope
“feels” across any section of it (or that you would
feel if you replaced a piece of the rope). Since you
are pulling with a force of 100 N, that is the tension
in the rope.
ConcepTest 4.16a Tension I
1) 0 N
2) 50 N
3) 100 N
4) 150 N
5) 200 N
You tie a rope to a tree and you
pull on the rope with a force of
100 N. What is the tension in
the rope?
58. 1) 0 N
2) 50 N
3) 100 N
4) 150 N
5) 200 N
Two tug-of-war opponents each
pull with a force of 100 N on
opposite ends of a rope. What
is the tension in the rope?
ConcepTest 4.16b Tension II
59. This is literally the identical situation to the
previous question. The tension is not 200 N !!
Whether the other end of the rope is pulled by a
person, or pulled by a tree, the tension in the rope
is still 100 N !!
1) 0 N
2) 50 N
3) 100 N
4) 150 N
5) 200 N
Two tug-of-war opponents each
pull with a force of 100 N on
opposite ends of a rope. What
is the tension in the rope?
ConcepTest 4.16b Tension II
60. 1) you and your friend each pull on
opposite ends of the rope
2) tie the rope to a tree, and you both
pull from the same end
3) it doesn’t matter -- both of the above
are equivalent
4) get a large dog to bite the rope
You and a friend can
each pull with a force of
20 N. If you want to rip
a rope in half, what is
the best way?
ConcepTest 4.16c Tension III
61. Take advantage of the fact that the tree can
pull with almost any force (until it falls down,
that is!). You and your friend should team up
on one end, and let the tree make the effort on
the other end.
1) you and your friend each pull on
opposite ends of the rope
2) tie the rope to a tree, and you both
pull from the same end
3) it doesn’t matter -- both of the above
are equivalent
4) get a large dog to bite the rope
You and a friend can
each pull with a force of
20 N. If you want to rip
a rope in half, what is
the best way?
ConcepTest 4.16c Tension III
62. ConcepTest 4.17 Three Blocks
T3 T2 T1
3m
2m m
a
1) T1 > T2 > T3
2) T1 < T2 < T3
3) T1 = T2 = T3
4) all tensions are zero
5) tensions are random
Three blocks of mass 3m, 2m, and
m are connected by strings and
pulled with constant acceleration a.
What is the relationship between
the tension in each of the strings?
63. T1 pulls the whole set
of blocks along, so it
must be the largest.
T2 pulls the last two
masses, but T3 only
pulls the last mass.
ConcepTest 4.17 Three Blocks
T3 T2 T1
3m
2m m
a
1) T1 > T2 > T3
2) T1 < T2 < T3
3) T1 = T2 = T3
4) all tensions are zero
5) tensions are random
Three blocks of mass 3m, 2m, and
m are connected by strings and
pulled with constant acceleration a.
What is the relationship between
the tension in each of the strings?
Follow-up: What is T1 in terms of m and a?
64. ConcepTest 4.18 Over the Edge
m
10kg a
m
a
F = 98 N
Case (1) Case (2)
1) case 1
2) acceleration is zero
3) both cases are the same
4) depends on value of m
5) case 2
In which case does block m experience
a larger acceleration? In (1) there is a
10 kg mass hanging from a rope and
falling. In (2) a hand is providing a
constant downward force of 98 N.
Assume massless ropes.
65. In (2) the tension is 98 N
due to the hand. In (1)
the tension is less than
98 N because the block
is accelerating down.
Only if the block were at
rest would the tension
be equal to 98 N.
ConcepTest 4.18 Over the Edge
m
10kg a
m
a
F = 98 N
Case (1) Case (2)
1) case 1
2) acceleration is zero
3) both cases are the same
4) depends on value of m
5) case 2
In which case does block m experience
a larger acceleration? In (1) there is a
10 kg mass hanging from a rope and
falling. In (2) a hand is providing a
constant downward force of 98 N.
Assume massless ropes.
66. ConcepTest 4.19 Friction
1) the force from the rushing air
pushed it off
2) the force of friction pushed it off
3) no net force acted on the box
4) truck went into reverse by accident
5) none of the above
A box sits in a pickup truck
on a frictionless truck bed.
When the truck accelerates
forward, the box slides off
the back of the truck
because:
67. Generally, the reason that the box in the truck bed would move
with the truck is due to friction between the box and the bed.
If there is no friction, there is no force to push the box along,
and it remains at rest. The truck accelerated away, essentially
leaving the box behind!!
ConcepTest 4.19 Friction
1) the force from the rushing air
pushed it off
2) the force of friction pushed it off
3) no net force acted on the box
4) truck went into reverse by accident
5) none of the above
A box sits in a pickup truck
on a frictionless truck bed.
When the truck accelerates
forward, the box slides off
the back of the truck
because:
68. Antilock brakes keep the
car wheels from locking
and skidding during a
sudden stop. Why does
this help slow the car
down?
1) mk > ms so sliding friction is better
2) mk > ms so static friction is better
3) ms > mk so sliding friction is better
4) ms > mk so static friction is better
5) none of the above
ConcepTest 4.20 Antilock Brakes
69. Antilock brakes keep the
car wheels from locking
and skidding during a
sudden stop. Why does
this help slow the car
down?
1) mk > ms so sliding friction is better
2) mk > ms so static friction is better
3) ms > mk so sliding friction is better
4) ms > mk so static friction is better
5) none of the above
Static friction is greater than sliding friction, so
by keeping the wheels from skidding, the static
friction force will help slow the car down more
efficiently than the sliding friction that occurs
during a skid.
ConcepTest 4.20 Antilock Brakes
70. ConcepTest 4.21 Going Sledding
1
2
1) pushing her from behind
2) pulling her from the front
3) both are equivalent
4) it is impossible to move the sled
5) tell her to get out and walk
Your little sister wants
you to give her a ride
on her sled. On level
ground, what is the
easiest way to
accomplish this?
71. ConcepTest 4.21 Going Sledding
1
2
In Case 1, the force F is pushing down
(in addition to mg), so the normal
force is larger. In Case 2, the force F
is pulling up, against gravity, so the
normal force is lessened. Recall that
the frictional force is proportional to
the normal force.
1) pushing her from behind
2) pulling her from the front
3) both are equivalent
4) it is impossible to move the sled
5) tell her to get out and walk
Your little sister wants
you to give her a ride
on her sled. On level
ground, what is the
easiest way to
accomplish this?
72. ConcepTest 4.22 Will It Budge?
1) moves to the left
2) moves to the right
3) moves up
4) moves down
5) the box does not move
A box of weight 100 N is at rest
on a floor where ms = 0.5. A
rope is attached to the box
and pulled horizontally with
tension T = 30 N. Which way
does the box move?
T
m
Static friction
(ms = 0.4 )
73. The static friction force has a
maximum of msN = 40 N. The
tension in the rope is only 30 N.
So the pulling force is not big
enough to overcome friction.
ConcepTest 4.22 Will It Budge?
1) moves to the left
2) moves to the right
3) moves up
4) moves down
5) the box does not move
A box of weight 100 N is at rest
on a floor where ms = 0.5. A
rope is attached to the box
and pulled horizontally with
tension T = 30 N. Which way
does the box move?
T
m
Static friction
(ms = 0.4 )
Follow-up: What happens if the tension is 35 N? What about 45 N?
74. 1) component of the gravity force
parallel to the plane increased
2) coeff. of static friction decreased
3) normal force exerted by the board
decreased
4) both #1 and #3
5) all of #1, #2, and #3
A box sits on a flat board.
You lift one end of the
board, making an angle
with the floor. As you
increase the angle, the
box will eventually begin
to slide down. Why?
Net Force
Normal
Weight
ConcepTest 4.23a Sliding Down I
75. 1) component of the gravity force
parallel to the plane increased
2) coeff. of static friction decreased
3) normal force exerted by the board
decreased
4) both #1 and #3
5) all of #1, #2, and #3
A box sits on a flat board.
You lift one end of the
board, making an angle
with the floor. As you
increase the angle, the
box will eventually begin
to slide down. Why?
Net Force
Normal
Weight
As the angle increases, the component
of weight parallel to the plane increases
and the component perpendicular to the
plane decreases (and so does the Normal
force). Since friction depends on Normal
force, we see that the friction force gets
smaller and the force pulling the box
down the plane gets bigger.
ConcepTest 4.23a Sliding Down I
76. m
1) not move at all
2) slide a bit, slow down, then stop
3) accelerate down the incline
4) slide down at constant speed
5) slide up at constant speed
A mass m is placed on an
inclined plane (m > 0) and
slides down the plane with
constant speed. If a similar
block (same m) of mass 2m
were placed on the same
incline, it would:
ConcepTest 4.23b Sliding Down II
77. The component of gravity acting down
the plane is double for 2m. However,
the normal force (and hence the friction
force) is also double (the same factor!).
This means the two forces still cancel
to give a net force of zero.
A mass m is placed on an
inclined plane (m > 0) and
slides down the plane with
constant speed. If a similar
block (same m) of mass 2m
were placed on the same
incline, it would:
q
W
N
f
q
Wx
Wy
1) not move at all
2) slide a bit, slow down, then stop
3) accelerate down the incline
4) slide down at constant speed
5) slide up at constant speed
ConcepTest 4.23b Sliding Down II