Answer the questions in this problem using words from the following list:


 Jack Johns
 3 years ago
 Views:
Transcription
1 Chapter Solutions Kinematic Vocabulary One of the difficulties in studying mechanics is that many common words are used with highly specific technical meanings, among them velocity, acceleratio n, position, speed, and displacement. The series of questions in this problem is designed to get you to try to think of these quantities like a physicist. Answer the questions in this problem using words from the following list: A. position B. direction C. displacement D. coordinates E. velocity F. acceleration G. distance H. magnitude I. vector J. scalar K. components Part A Velocity differs from speed in that velocity indicates a particle's of motion. B Also accepted: direction Part B Unlike speed, velocity is a quantity. I Also accepted: vector Part C A vector has, by definition, both and direction. H Also accepted: magnitude Part D
2 Once you have selected a coordinate system, you can epress a twodimensional vector using a pair of quantities known collectively as. K Also accepted: components, D, coordinates Part E Speed differs from velocity in the same way that differs from displacement. Hint 1. Definition of displacement Displacement is the vector that indicates the difference of two positions (e.g., the final position from the initial position). Being a vector, it is independent of the coordinate system used to describe it (although its vector components depend on the coordinate system). G Also accepted: distance Part F Consider a physical situation in which a particle moves from point A to point B. This process is described from two coordinate systems that are identical ecept that they have different origins. The of the particle at point A differ(s) as epressed in one coordinate system compared to the other, but the from A to B is/are the same as epressed in both coordinate systems. Type the letters from the list given in the problem introduction that best complete the sentence. Separate the letters with commas. There is more than one correct answer, but you should only enter one pair of commaseparated letters. For eample, if the words "vector" and "scalar" fit best in the blanks, enter I,J. A,C Also accepted: position,c, D,C, coordinates,c, A,displacement, position,displacement, D,displacement, coordinates,displacement, A,G, position,g, D,G, coordinates,g, A,distance, position,distance, D,distance, coordinates,distance, A,E, position,e, D,E, coordinates,e, A,velocity, position,velocity, D,velocity, coordinates,velocity, A,B, position,b, D,B, coordinates,b, A,direction, position,direction, D,direction, coordinates,direction The coordinates of a point will depend on the coordinate system that is chosen, but there are several other quantities that are independent of the choice of origin for a coordinate system: in particular, distance, displacement, direction, and velocity. In working physics problems, unless you are interested in the position of an object or event relative to a specific origin, you can usually choose the coordinate system origin to be wherever is most convenient or intuitive. Note that the vector indicating a displacement from A to B is usually represented as.
3 Part G Identify the following physical quantities as scalars or vectors. Direction of Velocity and Acceleration Vector Quantities Conceptual Question For each of the motions described below, determine the algebraic sign (,, or ) of the velocity and acceleration of the object at the time specified. For all of the motions, the positive y ais is upward. Part A An elevator is moving downward when someone presses the emergency stop button. The elevator comes to rest a short time later. Give the signs for the velocity and the acceleration of the elevator after the button has been pressed but before the elevator has stopped. Enter the correct sign for the elevator's velocity and the correct sign for the elevator's acceleration, separated by a comma. For eample, if you think that the velocity is positive and the acceleration is negative, then you would enter +,. If you think that both are zero, then you would enter 0,0. Hint 1. Algebraic sign of velocity The algebraic sign of velocity is determined solely by comparing the direction in which the object is moving with the direction that is defined to be positive. In this eample, upward is defined to be positive. Therefore, any object moving upward, whether speeding up, slowing down, or traveling at constant speed, has positive velocity. Hint. Algebraic sign of acceleration The algebraic sign of acceleration is more difficult to determine than the algebraic sign of velocity. The acceleration of an object points in the same direction as the change in the velocity of an object. If an object is speeding up, the change in the velocity points in the same direction as the velocity: If an object is slowing down, the change in velocity points in the opposite direction to that of the velocity:
4 Once you know the direction of the acceleration, you can determine its sign by comparing it to the defined positive direction, in this case, upward. ,+ Part B A child throws a baseball directly upward. What are the signs of the velocity and acceleration of the ball immediately after the ball leaves the child's hand? Enter the correct sign for the baseball's velocity and the correct sign for the baseball's acceleration, separated by a comma. For eample, if you think that the velocity is positive and the acceleration is negative, then you would enter +,. If you think that both are zero, then you would enter 0,0. Hint 1. Algebraic sign of velocity The algebraic sign of velocity is determined solely by comparing the direction in which the object is moving with the direction that is defined to be positive. In this eample, upward is defined to be positive. Therefore, any object moving upward, whether speeding up, slowing down, or traveling at constant speed, has positive velocity. Hint. Algebraic sign of acceleration The algebraic sign of acceleration is more difficult to determine than the algebraic sign of velocity. The acceleration of an object points in the same direction as the change in the velocity of an object. If an object is speeding up, the change in the velocity points in the same direction as the velocity:
5 If an object is slowing down, the change in velocity points in the opposite direction to that of the velocity: Once you know the direction of the acceleration, you can determine its sign by comparing it to the defined positive direction, in this case, upward. +, Part C A child throws a baseball directly upward. What are the signs of the velocity and acceleration of the ball at the very top of the ball's motion (i.e., the point of maimum height)? Enter the correct sign for the baseball's velocity and the correct sign for the baseball's acceleration, separated by a comma. For eample, if you think that the velocity is positive and the acceleration is negative, then you would enter +,. If you think that both are zero, then you would enter 0,0. Hint 1. Algebraic sign of velocity
6 The algebraic sign of velocity is determined solely by comparing the direction in which the object is moving with the direction that is defined to be positive. In this eample, upward is defined to be positive. Therefore, any object moving upward, whether speeding up, slowing down, or traveling at constant speed, has positive velocity. Hint. Algebraic sign of acceleration The algebraic sign of acceleration is more difficult to determine than the algebraic sign of velocity. The acceleration of an object points in the same direction as the change in the velocity of an object. If an object is speeding up, the change in the velocity points in the same direction as the velocity: If an object is slowing down, the change in velocity points in the opposite direction as the velocity: Once you know the direction of the acceleration, you can determine its sign by comparing it to the defined positive direction, in this case, upward.
7 0, Solutions to Problems.. Set Up: From the graph the position t at each time t is: m, 0, m, 4 0, m, and m Solve: (a) The displacement is 4 0 (i) m; (ii) m; (iii) m; (iv) (b) (i) 30 m 10 m 4 0 m; 90 (ii) 10 m 10 m 0 m; (iii) zero (stays at 6 0 m ) *.11. Set Up: 10 century 100 yr 5 1 km 10 cm Solve: (a) d t (50 cm/yr)(100 yr) 500 cm 5 0 m d cm 7 (b) t yr t 50 cm/yr 5.1. Set Up: The distance around the circular track is d (400 m) 16 m For a halflap, d 63 m Use coordinates for which the origin is at her starting point and the ais is along a diameter, as shown in the figure below. Solve: (a) After one lap she has returned to her starting point. Thus, 0 and av, 0 (b) 40 0 m and av, 16 m average speed d 01 m/s t 65 s 400 m 63 m 1 39 m/s; average speed 0 m/s t 87 s d t 87 s.13. Set Up: Since sound travels at a constant speed, v t; also, from the appendi we find that 1 mile is km. Solve: 1 mi (344 m/s)(75 s) 1 6 mi m 1 mi 1 Reflect: The speed of sound is (344 m/s) mi/s m 5 d 185 m 185 m.14. Solve: (a) t touch: t s; pain: t 303 s 76 m/s 0610 m/s (b) The difference between the two times in (a) is 3.01 s.
8 .31. Set Up: Assume the ball starts from rest and moves in the direction We may use the equations for constant acceleration. Solve: (a) m, v 450 m/s and v 0 0. Using v v a ( ) gives v0 (450 m/s) v a 675 m/s. ( ) (150 m) v0 v (b) Using 0 t gives ( 0) (150 m) t s v v 450 m/s 0 v 450 m/s Reflect: We could also use v v0 at to find t s, which agrees with our previous result. a 675 m/s The acceleration of the ball is very large..34. Set Up: Take the direction to be the direction of motion of the boulder. Solve: (a) Use the motion during the first second to find the acceleration. 0 0, 0 0, 00 m, and t 100 s 1 (00 m) 0 0t a t and a 400 m/s t (100 s) For the second second, m/s, 0 at (400 m/s )(1 00 s) 4 00 m/s a 4 00 m/s, and t 100 s t a t (400 m/s)(1 00 s) (400 m/s )(1 00 s) 6 00 m We can also solve for the location at t 00 s, starting at t 0: t a t (400 m/s )(00 s) 8 00 m, which agrees with.00 m in the first second and 6.00 m in the second second. The boulder speeds up so it travels farther in each successive second. (b) We have already found 4 00 m/s after the first second. After the second second, 0 at 400 m/s (400 m/s )(1 00 s) 8 00 m/s *.37. Set Up: Let be the direction the car is moving. We can use the equations for constant acceleration. Solve: (a) From Eq. (.13), with v0 0, a (0m/s) v 167m/s ( ) (10 m) (b) Using Eq. (.14), t ( 0)/ v (10 m)/(0 m/s) 1s (c) (1 s)(0 m/s) 40 m 0 Reflect: The average velocity of the car is half the constant speed of the traffic, so the traffic travels twice as far..38. Set Up: 1 mi/h 1466 ft/s The car travels at constant speed during the reaction time. Let be the direction the car is traveling, so a 1 0 ft/s after the brakes are applied. Solve: (a) 0 (07 s) 15 4 ft ft/s (150 mi/h) 0 ft/s 1 mi/h For the motion after the brakes are applied, 0 0 ft/s, 0 0 (0 ft/s) 0 a ( 10 ft/s ) ( ) 0 ft The total distance is 154 ft 0 ft 356 ft During the reaction time the car travels a distance of ( 0 ft/s) a 1 0 ft/s, and 0 0 a 0 ( ) gives 1466 ft/s (b) 0 (550 mi/h) 806 ft/s A calculation similar to that of part (a) gives a total stopping 1 mi/h distance of ( 0) 564 ft 707 ft 37 ft
9 .40. Set Up: Let be the direction the train is traveling. Find 0 for each segment of the motion. Solve: t 0 to 14.0 s: t a t (160 m/s )(14 0 s) 157 m At t 14 0 s, the speed is 0 a (1 60 m/s )(14 0 s) 4 m/s In the net 70.0 s, a 0 and 0 0 t (4 m/s)(70 0 s) 1568 m For the interval during which the train is slowing down, 0 4 m/s, a 3 50 m/s and 0 0 a (4 m/s) 0 7 m a ( 3 50 m/s ) ( ) gives The total distance traveled is 157 m 1568 m 7 m 1800 m
Ground Rules. PC1221 Fundamentals of Physics I. Kinematics. Position. Lectures 3 and 4 Motion in One Dimension. Dr Tay Seng Chuan
Ground Rules PC11 Fundamentals of Physics I Lectures 3 and 4 Motion in One Dimension Dr Tay Seng Chuan 1 Switch off your handphone and pager Switch off your laptop computer and keep it No talking while
More informationPhysics Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE
1 P a g e Motion Physics Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE If an object changes its position with respect to its surroundings with time, then it is called in motion. Rest If an object
More informationPhysics Kinematics Model
Physics Kinematics Model I. Overview Active Physics introduces the concept of average velocity and average acceleration. This unit supplements Active Physics by addressing the concept of instantaneous
More informationExam 1 Review Questions PHY 2425  Exam 1
Exam 1 Review Questions PHY 2425  Exam 1 Exam 1H Rev Ques.doc  1  Section: 1 7 Topic: General Properties of Vectors Type: Conceptual 1 Given vector A, the vector 3 A A) has a magnitude 3 times that
More informationPhysics: Principles and Applications, 6e Giancoli Chapter 2 Describing Motion: Kinematics in One Dimension
Physics: Principles and Applications, 6e Giancoli Chapter 2 Describing Motion: Kinematics in One Dimension Conceptual Questions 1) Suppose that an object travels from one point in space to another. Make
More informationIn order to describe motion you need to describe the following properties.
Chapter 2 One Dimensional Kinematics How would you describe the following motion? Ex: random 1D path speeding up and slowing down In order to describe motion you need to describe the following properties.
More information1 of 7 9/5/2009 6:12 PM
1 of 7 9/5/2009 6:12 PM Chapter 2 Homework Due: 9:00am on Tuesday, September 8, 2009 Note: To understand how points are awarded, read your instructor's Grading Policy. [Return to Standard Assignment View]
More informationScalar versus Vector Quantities. Speed. Speed: Example Two. Scalar Quantities. Average Speed = distance (in meters) time (in seconds) v =
Scalar versus Vector Quantities Scalar Quantities Magnitude (size) 55 mph Speed Average Speed = distance (in meters) time (in seconds) Vector Quantities Magnitude (size) Direction 55 mph, North v = Dx
More informationSpeed, velocity and acceleration
Chapter Speed, velocity and acceleration Figure.1 What determines the maximum height that a polevaulter can reach? 1 In this chapter we look at moving bodies, how their speeds can be measured and how
More informationVectors. Objectives. Assessment. Assessment. Equations. Physics terms 5/15/14. State the definition and give examples of vector and scalar variables.
Vectors Objectives State the definition and give examples of vector and scalar variables. Analyze and describe position and movement in two dimensions using graphs and Cartesian coordinates. Organize and
More informationSection 9.1 Vectors in Two Dimensions
Section 9.1 Vectors in Two Dimensions Geometric Description of Vectors A vector in the plane is a line segment with an assigned direction. We sketch a vector as shown in the first Figure below with an
More informationMotion. Complete Table 1. Record all data to three decimal places (e.g., 4.000 or 6.325 or 0.000). Do not include units in your answer.
Labs for College Physics: Mechanics Worksheet Experiment 21 Motion As you work through the steps in the lab procedure, record your experimental values and the results on this worksheet. Use the exact
More informationChapter 4 One Dimensional Kinematics
Chapter 4 One Dimensional Kinematics 41 Introduction 1 4 Position, Time Interval, Displacement 41 Position 4 Time Interval 43 Displacement 43 Velocity 3 431 Average Velocity 3 433 Instantaneous Velocity
More informationProjectile motion simulator. http://www.walterfendt.de/ph11e/projectile.htm
More Chapter 3 Projectile motion simulator http://www.walterfendt.de/ph11e/projectile.htm The equations of motion for constant acceleration from chapter 2 are valid separately for both motion in the x
More informationFigure 1.1 Vector A and Vector F
CHAPTER I VECTOR QUANTITIES Quantities are anything which can be measured, and stated with number. Quantities in physics are divided into two types; scalar and vector quantities. Scalar quantities have
More informationSPEED, VELOCITY, AND ACCELERATION
reflect Look at the picture of people running across a field. What words come to mind? Maybe you think about the word speed to describe how fast the people are running. You might think of the word acceleration
More informationWhy should we learn this? One realworld connection is to find the rate of change in an airplane s altitude. The Slope of a Line VOCABULARY
Wh should we learn this? The Slope of a Line Objectives: To find slope of a line given two points, and to graph a line using the slope and the intercept. One realworld connection is to find the rate
More information10.1. Solving Quadratic Equations. Investigation: Rocket Science CONDENSED
CONDENSED L E S S O N 10.1 Solving Quadratic Equations In this lesson you will look at quadratic functions that model projectile motion use tables and graphs to approimate solutions to quadratic equations
More information2After completing this chapter you should be able to
After completing this chapter you should be able to solve problems involving motion in a straight line with constant acceleration model an object moving vertically under gravity understand distance time
More informationChapter 10: Linear Kinematics of Human Movement
Chapter 10: Linear Kinematics of Human Movement Basic Biomechanics, 4 th edition Susan J. Hall Presentation Created by TK Koesterer, Ph.D., ATC Humboldt State University Objectives Discuss the interrelationship
More informationTo define concepts such as distance, displacement, speed, velocity, and acceleration.
Chapter 7 Kinematics of a particle Overview In kinematics we are concerned with describing a particle s motion without analysing what causes or changes that motion (forces). In this chapter we look at
More informationGraphing Motion. Every Picture Tells A Story
Graphing Motion Every Picture Tells A Story Read and interpret motion graphs Construct and draw motion graphs Determine speed, velocity and accleration from motion graphs If you make a graph by hand it
More informationv v ax v a x a v a v = = = Since F = ma, it follows that a = F/m. The mass of the arrow is unchanged, and ( )
Week 3 homework IMPORTANT NOTE ABOUT WEBASSIGN: In the WebAssign versions of these problems, various details have been changed, so that the answers will come out differently. The method to find the solution
More informationA.3. Polynomials and Factoring. Polynomials. What you should learn. Definition of a Polynomial in x. Why you should learn it
Appendi A.3 Polynomials and Factoring A23 A.3 Polynomials and Factoring What you should learn Write polynomials in standard form. Add,subtract,and multiply polynomials. Use special products to multiply
More informationPS6.2 Explain the factors that determine potential and kinetic energy and the transformation of one to the other.
PS6.1 Explain how the law of conservation of energy applies to the transformation of various forms of energy (including mechanical energy, electrical energy, chemical energy, light energy, sound energy,
More informationChapter 15 Collision Theory
Chapter 15 Collision Theory 151 Introduction 1 15 Reference Frames Relative and Velocities 1 151 Center of Mass Reference Frame 15 Relative Velocities 3 153 Characterizing Collisions 5 154 OneDimensional
More informationMechanics 1: Conservation of Energy and Momentum
Mechanics : Conservation of Energy and Momentum If a certain quantity associated with a system does not change in time. We say that it is conserved, and the system possesses a conservation law. Conservation
More informationDefinition: A vector is a directed line segment that has and. Each vector has an initial point and a terminal point.
6.1 Vectors in the Plane PreCalculus 6.1 VECTORS IN THE PLANE Learning Targets: 1. Find the component form and the magnitude of a vector.. Perform addition and scalar multiplication of two vectors. 3.
More information8. As a cart travels around a horizontal circular track, the cart must undergo a change in (1) velocity (3) speed (2) inertia (4) weight
1. What is the average speed of an object that travels 6.00 meters north in 2.00 seconds and then travels 3.00 meters east in 1.00 second? 9.00 m/s 3.00 m/s 0.333 m/s 4.24 m/s 2. What is the distance traveled
More informationF f v 1 = c100(10 3 ) m h da 1h 3600 s b =
14 11. The 2Mg car has a velocity of v 1 = 100km>h when the v 1 100 km/h driver sees an obstacle in front of the car. It takes 0.75 s for him to react and lock the brakes, causing the car to skid. If
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Vector A has length 4 units and directed to the north. Vector B has length 9 units and is directed
More informationPhysics 2048 Test 1 Solution (solutions to problems 25 are from student papers) Problem 1 (Short Answer: 20 points)
Physics 248 Test 1 Solution (solutions to problems 25 are from student papers) Problem 1 (Short Answer: 2 points) An object's motion is restricted to one dimension along the distance axis. Answer each
More informationMOTION DIAGRAMS. Revised 9/051  LC, tlo
MOTION DIAGRAMS When first applying kinematics (motion) principles, there is a tendency to use the wrong kinematics quantity  to inappropriately interchange quantities such as position, velocity, and
More informationMotion Graphs. It is said that a picture is worth a thousand words. The same can be said for a graph.
Motion Graphs It is said that a picture is worth a thousand words. The same can be said for a graph. Once you learn to read the graphs of the motion of objects, you can tell at a glance if the object in
More informationProblem Set 1 Solutions
Problem Set 1 Solutions Chapter 1: Representing Motion Questions: 6, 10, 1, 15 Exercises & Problems: 7, 10, 14, 17, 24, 4, 8, 44, 5 Q1.6: Give an example of a trip you might take in your car for which
More informationLearning Outcomes. Distinguish between Distance and Displacement when comparing positions. Distinguish between Scalar and Vector Quantities
Dr Pusey Learning Outcomes Distinguish between Distance and Displacement when comparing positions Distinguish between Scalar and Vector Quantities Add and subtract vectors in one and two dimensions What
More informationC B A T 3 T 2 T 1. 1. What is the magnitude of the force T 1? A) 37.5 N B) 75.0 N C) 113 N D) 157 N E) 192 N
Three boxes are connected by massless strings and are resting on a frictionless table. Each box has a mass of 15 kg, and the tension T 1 in the right string is accelerating the boxes to the right at a
More informationPhysics Section 3.2 Free Fall
Physics Section 3.2 Free Fall Aristotle Aristotle taught that the substances making up the Earth were different from the substance making up the heavens. He also taught that dynamics (the branch of physics
More informationExample SECTION 131. XAXIS  the horizontal number line. YAXIS  the vertical number line ORIGIN  the point where the xaxis and yaxis cross
CHAPTER 13 SECTION 131 Geometry and Algebra The Distance Formula COORDINATE PLANE consists of two perpendicular number lines, dividing the plane into four regions called quadrants XAXIS  the horizontal
More informationWorksheet for Exploration 2.1: Compare Position vs. Time and Velocity vs. Time Graphs
Worksheet for Exploration 2.1: Compare Position vs. Time and Velocity vs. Time Graphs Shown are three different animations, each with three toy monster trucks moving to the right. Two ways to describe
More informationAll About Motion  Displacement, Velocity and Acceleration
All About Motion  Displacement, Velocity and Acceleration Program Synopsis 2008 20 minutes Teacher Notes: Ian Walter Dip App Chem; GDipEd Admin; TTTC This program explores vector and scalar quantities
More informationhttp://www.webassign.net/v4cgikchowdary@evergreen/assignments/prev... 1 of 10 7/29/2014 7:28 AM 2 of 10 7/29/2014 7:28 AM
HW1 due 6 pm Day 3 (Wed. Jul. 30) 2. Question Details OSColPhys1 2.P.042.Tutorial.WA. [2707433] Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 (a) The graph below plots the position versus time
More information1.3.1 Position, Distance and Displacement
In the previous section, you have come across many examples of motion. You have learnt that to describe the motion of an object we must know its position at different points of time. The position of an
More informationLab 2: Vector Analysis
Lab 2: Vector Analysis Objectives: to practice using graphical and analytical methods to add vectors in two dimensions Equipment: Meter stick Ruler Protractor Force table Ring Pulleys with attachments
More informationChapter 3 Falling Objects and Projectile Motion
Chapter 3 Falling Objects and Projectile Motion Gravity influences motion in a particular way. How does a dropped object behave?!does the object accelerate, or is the speed constant?!do two objects behave
More informationSpeed, Velocity and Acceleration Lab
Speed, Velocity and Acceleration Lab Name In this lab, you will compare and learn the differences between speed, velocity, and acceleration. You will have two days to complete the lab. There will be some
More informationCh 7 Kinetic Energy and Work. Question: 7 Problems: 3, 7, 11, 17, 23, 27, 35, 37, 41, 43
Ch 7 Kinetic Energy and Work Question: 7 Problems: 3, 7, 11, 17, 23, 27, 35, 37, 41, 43 Technical definition of energy a scalar quantity that is associated with that state of one or more objects The state
More informationVector Algebra II: Scalar and Vector Products
Chapter 2 Vector Algebra II: Scalar and Vector Products We saw in the previous chapter how vector quantities may be added and subtracted. In this chapter we consider the products of vectors and define
More information1. Which of the 12 parent functions we know from chapter 1 are power functions? List their equations and names.
Pre Calculus Worksheet. 1. Which of the 1 parent functions we know from chapter 1 are power functions? List their equations and names.. Analyze each power function using the terminology from lesson 1.
More informationConceptual: 1, 3, 5, 6, 8, 16, 18, 19. Problems: 4, 6, 8, 11, 16, 20, 23, 27, 34, 41, 45, 56, 60, 65. Conceptual Questions
Conceptual: 1, 3, 5, 6, 8, 16, 18, 19 Problems: 4, 6, 8, 11, 16, 20, 23, 27, 34, 41, 45, 56, 60, 65 Conceptual Questions 1. The magnetic field cannot be described as the magnetic force per unit charge
More informationSolving Quadratic Equations by Graphing. Consider an equation of the form. y ax 2 bx c a 0. In an equation of the form
SECTION 11.3 Solving Quadratic Equations b Graphing 11.3 OBJECTIVES 1. Find an ais of smmetr 2. Find a verte 3. Graph a parabola 4. Solve quadratic equations b graphing 5. Solve an application involving
More informationCHAPTER 6 WORK AND ENERGY
CHAPTER 6 WORK AND ENERGY CONCEPTUAL QUESTIONS. REASONING AND SOLUTION The work done by F in moving the box through a displacement s is W = ( F cos 0 ) s= Fs. The work done by F is W = ( F cos θ). s From
More informationPolynomial Degree and Finite Differences
CONDENSED LESSON 7.1 Polynomial Degree and Finite Differences In this lesson you will learn the terminology associated with polynomials use the finite differences method to determine the degree of a polynomial
More informationSolving Quadratic Equations
9.3 Solving Quadratic Equations by Using the Quadratic Formula 9.3 OBJECTIVES 1. Solve a quadratic equation by using the quadratic formula 2. Determine the nature of the solutions of a quadratic equation
More informationChapter 6 Work and Energy
Chapter 6 WORK AND ENERGY PREVIEW Work is the scalar product of the force acting on an object and the displacement through which it acts. When work is done on or by a system, the energy of that system
More information5. Forces and MotionI. Force is an interaction that causes the acceleration of a body. A vector quantity.
5. Forces and MotionI 1 Force is an interaction that causes the acceleration of a body. A vector quantity. Newton's First Law: Consider a body on which no net force acts. If the body is at rest, it will
More informationProblem 12.33. s s o v o t 1 2 a t2. Ball B: s o 0, v o 19 m s, a 9.81 m s 2. Apply eqn. 125: When the balls pass each other: s A s B. t 2.
ENPH 131 Assignment # Solutions Tutorial Problem (Rocket Height) A rocket, initially at rest on the ground, accelerates straight upward with a constant acceleration of 3. m s. The rocket accelerates for
More informationPHY121 #8 Midterm I 3.06.2013
PHY11 #8 Midterm I 3.06.013 AP Physics Newton s Laws AP Exam Multiple Choice Questions #1 #4 1. When the frictionless system shown above is accelerated by an applied force of magnitude F, the tension
More informationWork, Power, Energy Multiple Choice. PSI Physics. Multiple Choice Questions
Work, Power, Energy Multiple Choice PSI Physics Name Multiple Choice Questions 1. A block of mass m is pulled over a distance d by an applied force F which is directed in parallel to the displacement.
More informationwww.mathsbox.org.uk Displacement (x) Velocity (v) Acceleration (a) x = f(t) differentiate v = dx Acceleration Velocity (v) Displacement x
Mechanics 2 : Revision Notes 1. Kinematics and variable acceleration Displacement (x) Velocity (v) Acceleration (a) x = f(t) differentiate v = dx differentiate a = dv = d2 x dt dt dt 2 Acceleration Velocity
More informationPHYSICAL QUANTITIES AND UNITS
1 PHYSICAL QUANTITIES AND UNITS Introduction Physics is the study of matter, its motion and the interaction between matter. Physics involves analysis of physical quantities, the interaction between them
More informationChapter 6. Work and Energy
Chapter 6 Work and Energy The concept of forces acting on a mass (one object) is intimately related to the concept of ENERGY production or storage. A mass accelerated to a nonzero speed carries energy
More informationTennessee State University
Tennessee State University Dept. of Physics & Mathematics PHYS 2010 CF SU 2009 Name 30% Time is 2 hours. Cheating will give you an Fgrade. Other instructions will be given in the Hall. MULTIPLE CHOICE.
More informationWeb review  Ch 3 motion in two dimensions practice test
Name: Class: _ Date: _ Web review  Ch 3 motion in two dimensions practice test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which type of quantity
More informationGravitational Potential Energy
Gravitational Potential Energy Consider a ball falling from a height of y 0 =h to the floor at height y=0. A net force of gravity has been acting on the ball as it drops. So the total work done on the
More informationChapter 7: Momentum and Impulse
Chapter 7: Momentum and Impulse 1. When a baseball bat hits the ball, the impulse delivered to the ball is increased by A. follow through on the swing. B. rapidly stopping the bat after impact. C. letting
More informationTEACHER ANSWER KEY November 12, 2003. Phys  Vectors 11132003
Phys  Vectors 11132003 TEACHER ANSWER KEY November 12, 2003 5 1. A 1.5kilogram lab cart is accelerated uniformly from rest to a speed of 2.0 meters per second in 0.50 second. What is the magnitude
More informationPhysics 53. Kinematics 2. Our nature consists in movement; absolute rest is death. Pascal
Phsics 53 Kinematics 2 Our nature consists in movement; absolute rest is death. Pascal Velocit and Acceleration in 3D We have defined the velocit and acceleration of a particle as the first and second
More informationSCALAR VS. VECTOR QUANTITIES
SCIENCE 1206 MOTION  Unit 3 Slideshow 2 SPEED CALCULATIONS NAME: TOPICS OUTLINE SCALAR VS. VECTOR SCALAR QUANTITIES DISTANCE TYPES OF SPEED SPEED CALCULATIONS DISTANCETIME GRAPHS SPEEDTIME GRAPHS SCALAR
More informationSQA CfE Higher Physics Unit 1: Our Dynamic Universe
SCHOLAR Study Guide SQA CfE Higher Physics Unit 1: Our Dynamic Universe Authored by: Ian Holton Previously authored by: Douglas Gavin John McCabe Andrew Tookey Campbell White Reviewed by: Grant McAllister
More informationWelcome back to Physics 211. Physics 211 Spring 2014 Lecture 041 1. ask a physicist
Welcome back to Physics 211 Today s agenda: Rotations What s on the exam? Relative motion Physics 211 Spring 2014 Lecture 041 1 ask a physicist Why are neutrinos faster than light (photons)? I thought
More informationNewton s Laws. Physics 1425 lecture 6. Michael Fowler, UVa.
Newton s Laws Physics 1425 lecture 6 Michael Fowler, UVa. Newton Extended Galileo s Picture of Galileo said: Motion to Include Forces Natural horizontal motion is at constant velocity unless a force acts:
More informationDetermination of Acceleration due to Gravity
Experiment 2 24 Kuwait University Physics 105 Physics Department Determination of Acceleration due to Gravity Introduction In this experiment the acceleration due to gravity (g) is determined using two
More informationUniformly Accelerated Motion
Uniformly Accelerated Motion Under special circumstances, we can use a series of three equations to describe or predict movement V f = V i + at d = V i t + 1/2at 2 V f2 = V i2 + 2ad Most often, these equations
More informationExamples of Scalar and Vector Quantities 1. Candidates should be able to : QUANTITY VECTOR SCALAR
Candidates should be able to : Examples of Scalar and Vector Quantities 1 QUANTITY VECTOR SCALAR Define scalar and vector quantities and give examples. Draw and use a vector triangle to determine the resultant
More informationPhysics 11 Assignment KEY Dynamics Chapters 4 & 5
Physics Assignment KEY Dynamics Chapters 4 & 5 ote: for all dynamics problemsolving questions, draw appropriate free body diagrams and use the aforementioned problemsolving method.. Define the following
More informationReview of Intermediate Algebra Content
Review of Intermediate Algebra Content Table of Contents Page Factoring GCF and Trinomials of the Form + b + c... Factoring Trinomials of the Form a + b + c... Factoring Perfect Square Trinomials... 6
More information5. Unable to determine. 6. 4 m correct. 7. None of these. 8. 1 m. 9. 1 m. 10. 2 m. 1. 1 m/s. 2. None of these. 3. Unable to determine. 4.
Version PREVIEW B One D Kine REVIEW burke (1111) 1 This printout should have 34 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. Jogging
More informationA vector is a directed line segment used to represent a vector quantity.
Chapters and 6 Introduction to Vectors A vector quantity has direction and magnitude. There are many examples of vector quantities in the natural world, such as force, velocity, and acceleration. A vector
More informationWhen the fluid velocity is zero, called the hydrostatic condition, the pressure variation is due only to the weight of the fluid.
Fluid Statics When the fluid velocity is zero, called the hydrostatic condition, the pressure variation is due only to the weight of the fluid. Consider a small wedge of fluid at rest of size Δx, Δz, Δs
More informationLecture L2  Degrees of Freedom and Constraints, Rectilinear Motion
S. Widnall 6.07 Dynamics Fall 009 Version.0 Lecture L  Degrees of Freedom and Constraints, Rectilinear Motion Degrees of Freedom Degrees of freedom refers to the number of independent spatial coordinates
More informationWORK DONE BY A CONSTANT FORCE
WORK DONE BY A CONSTANT FORCE The definition of work, W, when a constant force (F) is in the direction of displacement (d) is W = Fd SI unit is the Newtonmeter (Nm) = Joule, J If you exert a force of
More informationReview Chapters 2, 3, 4, 5
Review Chapters 2, 3, 4, 5 4) The gain in speed each second for a freelyfalling object is about A) 0. B) 5 m/s. C) 10 m/s. D) 20 m/s. E) depends on the initial speed 9) Whirl a rock at the end of a string
More information( ) ( ) ( ) ( ) ( ) ( )
Problem (Q1): Evaluate each of the following to three significant figures and express each answer in SI units: (a) (0.631 Mm)/(8.60 kg) 2 (b) (35 mm) 2 *(48 kg) 3 (a) 0.631 Mm / 8.60 kg 2 6 0.631 10 m
More information1. Large ships are often helped into port by using two tug boats one either side of the ship. April 5, 1989 (Anchorage Daily News / Erik Hill)
1. Velocity and displacement vectors and scalars Vector and scalar quantities: force, speed, velocity, distance, displacement, acceleration, mass, time and energy. Calculation of the resultant of two vector
More informationNotes on Elastic and Inelastic Collisions
Notes on Elastic and Inelastic Collisions In any collision of 2 bodies, their net momentus conserved. That is, the net momentum vector of the bodies just after the collision is the same as it was just
More informationInertia, Forces, and Acceleration: The Legacy of Sir Isaac Newton
Inertia, Forces, and Acceleration: The Legacy of Sir Isaac Newton Position is a Vector Compare A A ball is 12 meters North of the Sun God to A A ball is 10 meters from here A vector has both a direction
More informationFreely Falling Objects
Freely Falling Objects Physics 1425 Lecture 3 Michael Fowler, UVa. Today s Topics In the previous lecture, we analyzed onedimensional motion, defining displacement, velocity, and acceleration and finding
More informationPhysics Midterm Review Packet January 2010
Physics Midterm Review Packet January 2010 This Packet is a Study Guide, not a replacement for studying from your notes, tests, quizzes, and textbook. Midterm Date: Thursday, January 28 th 8:1510:15 Room:
More informationNewton s Laws Quiz Review
Newton s Laws Quiz Review Name Hour To be properly prepared for this quiz you should be able to do the following: 1) state each of Newton s three laws of motion 2) pick out examples of the three laws from
More informationPhysics 2A, Sec B00: Mechanics  Winter 2011 Instructor: B. Grinstein Final Exam
Physics 2A, Sec B00: Mechanics  Winter 2011 Instructor: B. Grinstein Final Exam INSTRUCTIONS: Use a pencil #2 to fill your scantron. Write your code number and bubble it in under "EXAM NUMBER;" an entry
More informationAP Calculus AB 2004 Scoring Guidelines
AP Calculus AB 4 Scoring Guidelines The materials included in these files are intended for noncommercial use by AP teachers for course and eam preparation; permission for any other use must be sought from
More informationSolving Absolute Value Equations and Inequalities Graphically
4.5 Solving Absolute Value Equations and Inequalities Graphicall 4.5 OBJECTIVES 1. Draw the graph of an absolute value function 2. Solve an absolute value equation graphicall 3. Solve an absolute value
More informationSpeed A B C. Time. Chapter 3: Falling Objects and Projectile Motion
Chapter 3: Falling Objects and Projectile Motion 1. Neglecting friction, if a Cadillac and Volkswagen start rolling down a hill together, the heavier Cadillac will get to the bottom A. before the Volkswagen.
More informationExperiment 2 Free Fall and Projectile Motion
Name Partner(s): Experiment 2 Free Fall and Projectile Motion Objectives Preparation PreLab Learn how to solve projectile motion problems. Understand that the acceleration due to gravity is constant (9.8
More informationChapter 28 Fluid Dynamics
Chapter 28 Fluid Dynamics 28.1 Ideal Fluids... 1 28.2 Velocity Vector Field... 1 28.3 Mass Continuity Equation... 3 28.4 Bernoulli s Principle... 4 28.5 Worked Examples: Bernoulli s Equation... 7 Example
More information21 Position, Displacement, and Distance
21 Position, Displacement, and Distance In describing an object s motion, we should first talk about position where is the object? A position is a vector because it has both a magnitude and a direction:
More informationD.3. Angles and Degree Measure. Review of Trigonometric Functions
APPENDIX D Precalculus Review D7 SECTION D. Review of Trigonometric Functions Angles and Degree Measure Radian Measure The Trigonometric Functions Evaluating Trigonometric Functions Solving Trigonometric
More information1 One Dimensional Horizontal Motion Position vs. time Velocity vs. time
PHY132 Experiment 1 One Dimensional Horizontal Motion Position vs. time Velocity vs. time One of the most effective methods of describing motion is to plot graphs of distance, velocity, and acceleration
More informationDownloaded from www.studiestoday.com
Class XI Physics Ch. 4: Motion in a Plane NCERT Solutions Page 85 Question 4.1: State, for each of the following physical quantities, if it is a scalar or a vector: Volume, mass, speed, acceleration, density,
More information