Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 1.5, Problem 2bT
Complete the diagram at right by drawing the car and the truck at their positions at instants 2 and 3 as measured in the reference frame of the truck.
Diagram for the reference frame of the truck
Explain how your completed diagram is consistent with the fact that the truck is at rest in its own frame of reference.
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Two carts are riding on an air track as shown in the figure at the right. At clock time t = 0 cart B is at the origin traveling in the +x direction with a velocity speed VB0. At that time, cart.
is at the position shown and is at rest. Cart B has twice the mass of cart A. The carts "bump" each other, but don't stick.
Before
initially at rest
10°
cart A
cart B
In the graphs below are shown a number of possible plots for the various physical parameters associated with the two carts. Each graph has two curves, one for each cart and labeled with the cart's letter. For each property
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a. The forces exerted by the carts
b. The position of the carts
c. The velocity of the carts
d. The acceleration of the carts
e. The momentum of the carts.
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A
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A…
PROBLEM 1
Car B is travelling east with a speed of 30 m/s with an acceleration of 2 m/s², while car A is
travelling north with a speed of 20 m/s. At t=0, the two cars are 2 km apart as shown in the
figure below.
a) Calculate the required acceleration of car A so that both cars collide at the origin of the
shown coordinate frame
b) At what time t does the collison take place ?
30 m/s
2km
20 m/s
→X
b)
In this challenge we will find the angle needed to aim one robot at another as in the diagram below.
The lower robot travels at constant speed vfast and the upper robot travels at constant speed vslow. So both have zero acceleration. The initial vertical distance between them is D. Your challenge is to find the angle needed to cause a collision, the time of the collision, and the location of the collision.Some notes that may help:1. We can treat motion along the horizontal and vertical in the picture separately and write separate equations for them. Let’s call horizontal x and vertical y. 1. We then need to find kinematic equations for x and y for each robot. In other words you need equations for xslow, yslow, xfast, yfast.1. The fast robot has velocity in the x and y directions. The x-component of the robot’s velocity is while the y component is . The initial position of the fast robot is (0,0). So we can write the kinematic equations (eq 1) as and 1. The slow robot has velocity…
Chapter 1 Solutions
Tutorials in Introductory Physics
Ch. 1.1 - Each person in your group should obtain a ruler...Ch. 1.1 - Each person in your group should obtain a ruler...Ch. 1.1 - Each person in your group should obtain a ruler...Ch. 1.1 - Each person in your group should obtain a ruler...Ch. 1.1 - Each person in your group should obtain a ruler...Ch. 1.1 - Each person in your group should obtain a ruler...Ch. 1.1 - Each person in your group should obtain a ruler...Ch. 1.1 - A. In the space below, sketch a possible ticker...Ch. 1.1 - B. Together with your classmates, take your ticker...Ch. 1.1 - C. Based on your observations of your tape segment...
Ch. 1.1 - D. Review your earlier interpretation of the speed...Ch. 1.1 - E. Suppose you selected two widely separated dots...Ch. 1.2 - The computer program assumes a particular...Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion:Ch. 1.2 - How are the motions in parts C and D similar? How...Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion: Move toward the detector...Ch. 1.2 - How do the acceleration graphs for F, G, and H...Ch. 1.2 - Description of Motion: Initially move away from...Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion:Ch. 1.2 - The term decelerate is often used to indicate that...Ch. 1.3 - Draw vectors on your diagram that represent the...Ch. 1.3 - B. In the space at right, compare the velocities...Ch. 1.3 - Consider the change in velocity vector between two...Ch. 1.3 - Use the definition of acceleration to draw a...Ch. 1.3 - Does the acceleration change as the ball rolls up...Ch. 1.3 - Generalize your results thus far to answer the...Ch. 1.3 - Choose two successive points. In the space at...Ch. 1.3 - In the space at right, draw a vector to represent...Ch. 1.3 - Choose a point before the turnaround and another...Ch. 1.3 - Suppose that you had chosen the turnaround as one...Ch. 1.3 - In the space at right, draw a vector that...Ch. 1.4 - Prob. 1aTCh. 1.4 - If you were to choose a different origin for the...Ch. 1.4 - On a separate part of your paper, copy the...Ch. 1.4 - Suppose you were to choose a new point on the...Ch. 1.4 - On a separate part of your paper, copy the...Ch. 1.4 - Suppose the object started from rest at point E...Ch. 1.4 - At several points on each of the diagrams below,...Ch. 1.5 - The second diagram at right shows the positions of...Ch. 1.5 - The picture of the spaceships and shuttle from the...Ch. 1.5 - Prob. 1cTCh. 1.5 - Spaceship C moves so as to remain a fixed distance...Ch. 1.5 - Consider the following statement: "The...Ch. 1.5 - Prob. 1fTCh. 1.5 - Describe the motion of the car and the truck...Ch. 1.5 - Complete the diagram at right by drawing the car...Ch. 1.5 - Use your completed diagram to sketch average...Ch. 1.5 - During a small time interval t from just before to...
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