Submit Search
Upload
Chapter1.pptx
•
Download as PPTX, PDF
•
0 likes
•
12 views
O
OlimpiadeKompetisi
Follow
Undergraduate physics-unit
Read less
Read more
Education
Slideshow view
Report
Share
Slideshow view
Report
Share
1 of 32
Download now
Recommended
01 lecture outline
01 lecture outline
AbdiweliOmar
Cmcchapter02 100613132406-phpapp02
Cmcchapter02 100613132406-phpapp02
Cleophas Rwemera
Hp03win 090829165307-phpapp02
Hp03win 090829165307-phpapp02
Cleophas Rwemera
Hp03win 1219726737599813-8
Hp03win 1219726737599813-8
Cleophas Rwemera
Vector scalarquantitiesppt
Vector scalarquantitiesppt
Trnka
50 keys to cat from test funda (1)
50 keys to cat from test funda (1)
Shivangi Agrawal
50 keys to cat from test funda
50 keys to cat from test funda
arpitnigam01
50 keys to cat from test funda
50 keys to cat from test funda
pallavisingla1
Recommended
01 lecture outline
01 lecture outline
AbdiweliOmar
Cmcchapter02 100613132406-phpapp02
Cmcchapter02 100613132406-phpapp02
Cleophas Rwemera
Hp03win 090829165307-phpapp02
Hp03win 090829165307-phpapp02
Cleophas Rwemera
Hp03win 1219726737599813-8
Hp03win 1219726737599813-8
Cleophas Rwemera
Vector scalarquantitiesppt
Vector scalarquantitiesppt
Trnka
50 keys to cat from test funda (1)
50 keys to cat from test funda (1)
Shivangi Agrawal
50 keys to cat from test funda
50 keys to cat from test funda
arpitnigam01
50 keys to cat from test funda
50 keys to cat from test funda
pallavisingla1
50 keys to cat from test funda
50 keys to cat from test funda
jesusisgood
Physics 01-Introduction and Kinematics (2018) Lab.pdf
Physics 01-Introduction and Kinematics (2018) Lab.pdf
dknathanlol
Geom9point7
Geom9point7
herbison
Chemunit1presentation 110830201747-phpapp01
Chemunit1presentation 110830201747-phpapp01
Cleophas Rwemera
Unit 1: Description of the physical world
Unit 1: Description of the physical world
Javier García Molleja
1_--_sci_method.ppt
1_--_sci_method.ppt
MervatMarji2
Engineering Mechanics I (Statics) (Part 1/2)
Engineering Mechanics I (Statics) (Part 1/2)
National Chung Hsing University
Chapter2 120319075404-phpapp01
Chapter2 120319075404-phpapp01
Cleophas Rwemera
Split result 2021_05_07_10_11_44
Split result 2021_05_07_10_11_44
Reema
Vectors motion and forces in two dimensions
Vectors motion and forces in two dimensions
Subas Nandy
1637 vector mathematics ap
1637 vector mathematics ap
Dr Fereidoun Dejahang
Lecture 1 - System of Measurements, SI Units
Lecture 1 - System of Measurements, SI Units
MarjorieJeanAnog
Chapter 3 motion in two d 2
Chapter 3 motion in two d 2
Chris Auld
C1 Introduction Estimating Measurement.pptx
C1 Introduction Estimating Measurement.pptx
ssuser2ed623
Lecture3.pptx
Lecture3.pptx
Chanyalew21
vector.pptx
vector.pptx
ssuser7d974e
Ch02
Ch02
gillangrizky
Unit 1 - Measurements & Vectors.pdf
Unit 1 - Measurements & Vectors.pdf
Albert Martí
Bab1
Bab1
shaifulawie77
Coursework Assignment Design of a taxi meter .docx
Coursework Assignment Design of a taxi meter .docx
vanesaburnand
Improved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio App
Celine George
SPLICE Working Group:Reusable Code Examples
SPLICE Working Group:Reusable Code Examples
Peter Brusilovsky
More Related Content
Similar to Chapter1.pptx
50 keys to cat from test funda
50 keys to cat from test funda
jesusisgood
Physics 01-Introduction and Kinematics (2018) Lab.pdf
Physics 01-Introduction and Kinematics (2018) Lab.pdf
dknathanlol
Geom9point7
Geom9point7
herbison
Chemunit1presentation 110830201747-phpapp01
Chemunit1presentation 110830201747-phpapp01
Cleophas Rwemera
Unit 1: Description of the physical world
Unit 1: Description of the physical world
Javier García Molleja
1_--_sci_method.ppt
1_--_sci_method.ppt
MervatMarji2
Engineering Mechanics I (Statics) (Part 1/2)
Engineering Mechanics I (Statics) (Part 1/2)
National Chung Hsing University
Chapter2 120319075404-phpapp01
Chapter2 120319075404-phpapp01
Cleophas Rwemera
Split result 2021_05_07_10_11_44
Split result 2021_05_07_10_11_44
Reema
Vectors motion and forces in two dimensions
Vectors motion and forces in two dimensions
Subas Nandy
1637 vector mathematics ap
1637 vector mathematics ap
Dr Fereidoun Dejahang
Lecture 1 - System of Measurements, SI Units
Lecture 1 - System of Measurements, SI Units
MarjorieJeanAnog
Chapter 3 motion in two d 2
Chapter 3 motion in two d 2
Chris Auld
C1 Introduction Estimating Measurement.pptx
C1 Introduction Estimating Measurement.pptx
ssuser2ed623
Lecture3.pptx
Lecture3.pptx
Chanyalew21
vector.pptx
vector.pptx
ssuser7d974e
Ch02
Ch02
gillangrizky
Unit 1 - Measurements & Vectors.pdf
Unit 1 - Measurements & Vectors.pdf
Albert Martí
Bab1
Bab1
shaifulawie77
Coursework Assignment Design of a taxi meter .docx
Coursework Assignment Design of a taxi meter .docx
vanesaburnand
Similar to Chapter1.pptx
(20)
50 keys to cat from test funda
50 keys to cat from test funda
Physics 01-Introduction and Kinematics (2018) Lab.pdf
Physics 01-Introduction and Kinematics (2018) Lab.pdf
Geom9point7
Geom9point7
Chemunit1presentation 110830201747-phpapp01
Chemunit1presentation 110830201747-phpapp01
Unit 1: Description of the physical world
Unit 1: Description of the physical world
1_--_sci_method.ppt
1_--_sci_method.ppt
Engineering Mechanics I (Statics) (Part 1/2)
Engineering Mechanics I (Statics) (Part 1/2)
Chapter2 120319075404-phpapp01
Chapter2 120319075404-phpapp01
Split result 2021_05_07_10_11_44
Split result 2021_05_07_10_11_44
Vectors motion and forces in two dimensions
Vectors motion and forces in two dimensions
1637 vector mathematics ap
1637 vector mathematics ap
Lecture 1 - System of Measurements, SI Units
Lecture 1 - System of Measurements, SI Units
Chapter 3 motion in two d 2
Chapter 3 motion in two d 2
C1 Introduction Estimating Measurement.pptx
C1 Introduction Estimating Measurement.pptx
Lecture3.pptx
Lecture3.pptx
vector.pptx
vector.pptx
Ch02
Ch02
Unit 1 - Measurements & Vectors.pdf
Unit 1 - Measurements & Vectors.pdf
Bab1
Bab1
Coursework Assignment Design of a taxi meter .docx
Coursework Assignment Design of a taxi meter .docx
Recently uploaded
Improved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio App
Celine George
SPLICE Working Group:Reusable Code Examples
SPLICE Working Group:Reusable Code Examples
Peter Brusilovsky
An overview of the various scriptures in Hinduism
An overview of the various scriptures in Hinduism
Dabee Kamal
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
EADTU
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
Sean M. Fox
An Overview of the Odoo 17 Knowledge App
An Overview of the Odoo 17 Knowledge App
Celine George
Major project report on Tata Motors and its marketing strategies
Major project report on Tata Motors and its marketing strategies
AmanpreetKaur157993
Supporting Newcomer Multilingual Learners
Supporting Newcomer Multilingual Learners
David Douglas School District
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
中 央社
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
ELOISARIVERA8
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
中 央社
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
Nguyen Thanh Tu Collection
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
Pondicherry University
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
expandedwebsite
male presentation...pdf.................
male presentation...pdf.................
MirzaAbrarBaig5
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjj
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjj
Mohammed Sikander
AIM of Education-Teachers Training-2024.ppt
AIM of Education-Teachers Training-2024.ppt
Nishitharanjan Rout
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
AnaAcapella
OS-operating systems- ch05 (CPU Scheduling) ...
OS-operating systems- ch05 (CPU Scheduling) ...
Dr. Mazin Mohamed alkathiri
VAMOS CUIDAR DO NOSSO PLANETA! .
VAMOS CUIDAR DO NOSSO PLANETA! .
Colégio Santa Teresinha
Recently uploaded
(20)
Improved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio App
SPLICE Working Group:Reusable Code Examples
SPLICE Working Group:Reusable Code Examples
An overview of the various scriptures in Hinduism
An overview of the various scriptures in Hinduism
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
An Overview of the Odoo 17 Knowledge App
An Overview of the Odoo 17 Knowledge App
Major project report on Tata Motors and its marketing strategies
Major project report on Tata Motors and its marketing strategies
Supporting Newcomer Multilingual Learners
Supporting Newcomer Multilingual Learners
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
male presentation...pdf.................
male presentation...pdf.................
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjj
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjj
AIM of Education-Teachers Training-2024.ppt
AIM of Education-Teachers Training-2024.ppt
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
OS-operating systems- ch05 (CPU Scheduling) ...
OS-operating systems- ch05 (CPU Scheduling) ...
VAMOS CUIDAR DO NOSSO PLANETA! .
VAMOS CUIDAR DO NOSSO PLANETA! .
Chapter1.pptx
1.
University Physics with
Modern Physics Fifteenth Edition Chapter 1 Units, Physical Quantities, and Vectors Copyright © 2020 Pearson Education, Inc. All Rights Reserved
2.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Learning Outcomes In this chapter, you’ll learn… • the four steps you can use to solve any physics problem. • three fundamental quantities of physics and the units physicists use to measure them. • how to work with units and significant figures in your calculations. • how to add and subtract vectors graphically, and using vector components. • two ways to multiply vectors: the scalar (dot) product and the vector (cross) product.
3.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved The Nature of Physics • Physics is an experimental science in which physicists seek patterns that relate the phenomena of nature. • The patterns are called physical theories. • A very well established or widely used theory is called a physical law or principle.
4.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Solving Problems in Physics • All of the Problem-Solving Strategies and Examples in this book will follow these four steps: • Identify the relevant concepts, target variables, and known quantities, as stated or implied in the problem. • Set Up the problem: Choose the equations that you’ll use to solve the problem, and draw a sketch of the situation. • Execute the solution: This is where you “do the math.” • Evaluate your answer: Compare your answer with your estimates, and reconsider things if there’s a discrepancy.
5.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Idealized Models To simplify the analysis of a) a baseball in flight, we use b) an idealized model.
6.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Standards and Units • Length, time, and mass are three fundamental quantities of physics. • The International System (SI for Système International) is the most widely used system of units. • In SI units, length is measured in meters, time in seconds, and mass in kilograms.
7.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Unit Prefixes • Prefixes can be used to create larger and smaller units for the fundamental quantities. Some examples are: • • • • • 6 1 m 10 m (size of some bacteria and living cells) 3 1 km 10 m (a 10-minute walk) 6 1 mg 10 kg (mass of a grain of salt) 3 1 g 10 kg (mass of a paper clip) 9 1 ns 10 s (time for light to travel 0.3 m)
8.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Unit Consistency and Conversions • An equation must be dimensionally consistent. Terms to be added or equated must always have the same units. (Be sure you’re adding “apples to apples.”) • Always carry units through calculations. • Convert to standard units as necessary, by forming a ratio of the same physical quantity in two different units, and using it as a multiplier. • For example, to find the number of seconds in 3 min, we write: 3 min (3 min 60 s ) 1 min 180 s
9.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Uncertainty and Significant Figures • The uncertainty of a measured quantity is indicated by its number of significant figures. • For multiplication and division, the answer can have no more significant figures than the smallest number of significant figures in the factors. • For addition and subtraction, the number of significant figures is determined by the term having the fewest digits to the right of the decimal point. • As this train mishap illustrates, even a small percent error can have spectacular results! • Video Tutor Solution: Example 1.3
10.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Vectors and Scalars • A scalar quantity can be described by a single number. • A vector quantity has both a magnitude and a direction in space. • In this book, a vector quantity is represented in boldface italic type with an arrow over it: . A • The magnitude of A is written as A or . A
11.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Drawing Vectors • Draw a vector as a line with an arrowhead at its tip. • The length of the line shows the vector’s magnitude. • The direction of the line shows the vector’s direction.
12.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Adding Two Vectors Graphically (1 of 3)
13.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Adding Two Vectors Graphically (2 of 3)
14.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Adding Two Vectors Graphically (3 of 3)
15.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Adding More Than Two Vectors Graphically (1 of 3) • To add several vectors, use the head-to-tail method. • The vectors can be added in any order.
16.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Adding More Than Two Vectors Graphically (2 of 3) • To add several vectors, use the head-to-tail method. • The vectors can be added in any order.
17.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Adding More Than Two Vectors Graphically (3 of 3) • To add several vectors, use the head-to-tail method. • The vectors can be added in any order.
18.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Subtracting Vectors
19.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Multiplying a Vector by a Scalar • If c is a scalar, the product cA has magnitude c A. • The figure illustrates multiplication of a vector by a) a positive scalar and b) a negative scalar.
20.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Addition of Two Vectors at Right Angles • To add two vectors that are at right angles, first add the vectors graphically. • Then use trigonometry to find the magnitude and direction of the sum. • In the figure, a cross-country skier ends up 2.24 km from her starting point, in a direction of 63.4 degrees east of north.
21.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Components of a Vector • Adding vectors graphically provides limited accuracy. Vector components provide a general method for adding vectors. • Any vector can be represented by an x-component Ax and a y-component Ay.
22.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Positive and Negative Components • The components of a vector may be positive or negative numbers, as shown in the figures.
23.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Finding Components • We can calculate the components of a vector from its magnitude and direction. • Video Tutor Solution: Example 1.6
24.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Calculations Using Components • We can use the components of a vector to find its magnitude and direction: 2 2 and tan y x y x A A A A A • We can use the components of a set of vectors to find the components of their sum: ..., ... x x x x y y y y R A B C R A B C • Refer to Problem-Solving Strategy 1.3.
25.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Unit Vectors • A unit vector has a magnitude of 1 with no units. • The unit vector ˆ i points in the +x-direction,ĵ points in the +y-direction, and k̂ points in the +z-direction. • Any vector can be expressed in terms of its components as ˆ ˆ ˆ. x y z A A A A i j k
26.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved The Scalar Product (1 of 2)
27.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved The Scalar Product (2 of 2) • The scalar product can be positive, negative, or zero, depending on the angle between and . A B
28.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Calculating a Scalar Product Using Components • In terms of components: • The scalar product of two vectors is the sum of the products of their respective components.
29.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Finding an Angle Using the Scalar Product • Example 1.10 shows how to use components to find the angle between two vectors.
30.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved The Vector Product If the vector product (“cross product”) of two vectors is then: C A B The direction of the vector product can be found using the right-hand rule:
31.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved The Vector Product is Anticommutative A B B A
32.
Copyright © 2020
Pearson Education, Inc. All Rights Reserved Calculating the Vector Product • Use sin AB to find the magnitude and the right-hand rule to find the direction. • Refer to Example 1.11. • Video Tutor Solution: Example 1.11
Download now