Dynamics review answers
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The document discusses various physics concepts and problems involving vectors, forces, masses, and accelerations. It provides measurements for distances, angles, forces, masses, accelerations, times, and displacements. It also answers conceptual questions about Newton's laws of motion, forces between objects of different masses, air resistance, terminal velocity, gravitational forces between astronomical bodies, and the relationship between force, mass and acceleration.
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Newton's Universal Law of Gravitation describes the gravitational force between two masses. The force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them. Kepler's Laws of Planetary Motion describe the motion of planets around the sun, including that their orbits are ellipses with the sun at one focus, they sweep out equal areas in equal times, and the squares of their orbital periods are proportional to the cubes of their distances from the sun. A satellite stays in orbit around a planet when its centripetal force due to its velocity balances the gravitational force exerted by the planet.
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Here are the key steps to calculate the mass of Earth (M) from the given data:
1) Acceleration due to gravity on Earth's surface (g) = 9.81 m/s^2
2) Universal gravitational constant (G) = 6.67x10^-11 Nm^2/kg^2
3) Radius of Earth (R) = 6.37x10^6 m
4) Using the formula for acceleration due to gravity:
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5) Rearranging the terms:
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6) Substituting the values:
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The document discusses Newton's laws of motion. It provides answers to three questions about forces. The first question is about the weight of a 2 kg object on Earth, which is calculated using Newton's 2nd law and the formula that weight is equal to mass times gravitational acceleration. The second question is about the equal and opposite forces exerted between a 400 N girl pushing a 10,000 N sailboat. The third question is about the equal forces exerted between a hammer and nail during impact due to Newton's 3rd law.
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Newton's Universal Law of Gravitation describes the gravitational force between two masses. The force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them. Kepler's Laws of Planetary Motion describe the motion of planets around the sun, including that their orbits are ellipses with the sun at one focus, they sweep out equal areas in equal times, and the squares of their orbital periods are proportional to the cubes of their distances from the sun. A satellite stays in orbit around a planet when its centripetal force due to its velocity balances the gravitational force exerted by the planet.
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Newton's universal law of gravitation states that every point mass in the universe attracts every other point mass with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them. The gravitational field strength is defined as the gravitational force per unit mass experienced by a small test mass in the field. Field lines illustrate the direction of acceleration due to gravity and indicate that the field strength is greater nearer the surface of spherical masses.
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1) Early models of the universe ranged from geocentric to heliocentric, with Copernicus and Kepler improving on them by establishing orders of planets and describing elliptical orbits.
2) Kepler deduced three laws of planetary motion based on observations of Mars. Newton later explained these laws through his universal law of gravitation.
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Here are the key steps to calculate the mass of Earth (M) from the given data:
1) Acceleration due to gravity on Earth's surface (g) = 9.81 m/s^2
2) Universal gravitational constant (G) = 6.67x10^-11 Nm^2/kg^2
3) Radius of Earth (R) = 6.37x10^6 m
4) Using the formula for acceleration due to gravity:
g = GM/R^2
5) Rearranging the terms:
M = gR^2/G
6) Substituting the values:
M = (9.81 m/s^2)(
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This document provides an overview of Newton's three laws of motion:
1) An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force. Friction is given as an example of a force that can slow objects in motion.
2) 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 mass of the object.
3) For every action, there is an equal and opposite reaction. Examples of this law include a bird's wings pushing air down to lift itself up and a rocket expelling gases out the bottom to propel
newtons_laws_of_motion.ppt
This document provides an overview of Newton's three laws of motion:
1) An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force. Friction is given as an example of a force that can slow objects in motion.
2) 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 mass of the object.
3) For every action, there is an equal and opposite reaction. Examples of this law include a bird's wings pushing air down to lift itself up and a rocket expelling gases out the bottom to propel
newtons_laws_of_motion.ppt
This document provides an overview of Newton's three laws of motion:
1) An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force. Friction is given as an example of a force that can slow objects in motion.
2) 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 mass of the object.
3) For every action, there is an equal and opposite reaction. Examples of this law include a bird's wings pushing air down to lift itself up and a rocket expelling gases out the bottom to propel
newtons_laws_of_motion.ppt
This document provides an overview of Newton's three laws of motion:
1) An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force. Friction is given as an example of a force that can slow objects in motion.
2) The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the direction of the net force.
3) For every action, there is an equal and opposite reaction. Examples of this law include a bird's wings pushing air down to lift itself up and a rocket expelling gases out the bottom to propel itself in the opposite direction.
A PRESENTATION OF NEWTON'S LAW OF MOTION
If you are studying Physics 1, this is a good pptx to be your guide
newtons_laws_of_motion.ppt
This document summarizes Newton's three laws of motion:
1) An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force. Friction is the force that causes moving objects to slow down and stop.
2) 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 mass of the object.
3) For every action, there is an equal and opposite reaction. Whenever two objects interact, they apply forces to each other of equal magnitude and opposite direction.
Newtons laws of motion the laws of motion
This document provides an overview of Newton's three laws of motion:
1) An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force. Friction is given as an example of a force that can slow objects in motion.
2) 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 mass of the object.
3) For every action, there is an equal and opposite reaction. Examples of this law include a bird's wings pushing air down to lift itself up and a rocket expelling gases out the bottom to propel
Newtons law of motion , three laws with example
This document provides an overview of Newton's three laws of motion:
1) An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force. Friction is given as an example of a force that can slow objects in motion.
2) 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 mass of the object.
3) For every action, there is an equal and opposite reaction. Examples of this law include a bird's wings pushing air down to lift itself up and a rocket expelling gases out the bottom to propel
Similar to Dynamics review answers (20)
Giancoli - Chapter 5 - Section 5.6 - 5.9 - Universal Gravitation
Giancoli - Chapter 5 - Section 5.6 - 5.9 - Universal Gravitation
newtons_laws_of_motion for middle school esl learners.ppt
newtons_laws_of_motion for middle school esl learners.ppt
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- 1. 1. Add them by breaking them down into their components and then finding the net resultant vector 2. X 97.25 km y 100.7 km 3. 89.4 km @ 26.6 degrees NofW 4. omit 5. 5 N 6. 30N 7. 239 N @ 146 degrees, 60 kg 8. 59 kg 9. 240 N 10. 220 N 11. 196 N, 1.12 m/s2, .71 s, .29m Concept Review 1. coin will land behind you. 2. None, Newton’s first law 3. It has no acceleration, therefore also no net force. Therefore there must be a lot of air resistance (air friction) that is acting opposite the direction of movement 4. The net force is zero and you have reached terminal velocity 5. The moon also pulls on the earth, in fact with the same force. However, the earth is much larger (more mass) therefore the resulting acceleration of the earth is much smaller 6. The force that each of them experiences from the other is equal. In the case where one skater is smaller however (think Wei vs Mr Vincent), the force is still the same but because of their different masses they will each experience a different acceleration as a result of that force. 7. Both vehicles accelerate at 10 km/h/s. However, due to Newton’s second law, the truck requires far more force to accelerate at this rate because it has a larger mass.