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 3.3, Problem 2aT
A. Suppose that glider D is free to move and glider C rebounds.
1. In the spaces provided, draw separate free-body diagrams for each glider and for thesystem of the two gliders, system S, at an instant during the collision.
Which forces in your free-body diagrams for glider C and glider D do not have corresponding forces on the free-body diagram for system S?
2. The momentum of a system containing multiple objects can be defined to be the sum of the momenta of the constituent objects.
Use this definition to write an expression for the change in momentum of system S in terms of the change in momentum of glider C and of glider D.
3. Does the momentum of each of the following change during the collision? Explain how you can tell.
• glider C
• glider D
• system S
Are your answers consistent with your free-body diagrams and the direction of the net force in each case? If not, resolve any inconsistencies.
4. How, if at all, would your answer about the change in momentum of system S differ if glider D were replaced by a much more massive glider? Explain.
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c. Suppose the incline in part b is now
placed on a frictionless table.
Frictionless
i. Is the net force on the block
always zero? Explain.
ii. Is the net force on the incline always zero? Explain.
iii. Is the net force on the block-incline system always zero? Explain.
iv. Is the momentum of the block conserved? Explain.
v. Is the momentum of the incline conserved? Explain.
vi. Is the momentum of the block-incline system conserved? Explain.
Use the following scenario for questions 3-5.
Cart 1 (m = 5.0 kg) is traveling to the right with a velocity of 3.0 m/s when it collides elastically with cart 2 (m = 10 kg).
Cart 2 was motionless prior to the collision. Cart 1 is motionless after the collision.
3. Calculate the magnitude of momentum that was transferred to cart 2 during the collision?
A. 0.0 kg*m/s.
B. 5.0 kg*m/s
C. 7.5 kg*m/s
D. 15 kg*m/s
minate Education TM, Inc.
Two carts are initially moving to the right on a low-friction track, with cart 1 behind cart 2. Cart 1 has a speed twice that of cart 2 and so moves up and rear-ends cart 2, which has twice the inertia of cart 1.
A.
Suppose that the the initial speed of cart 2 is v. What is the speed of cart 1 right after the collision if the collision is elastic?
Express your answer in terms of v.
B.What is the speed of cart 2 right after the collision if the collision is elastic?
Express your answer in terms of v.
Chapter 3 Solutions
Tutorials in Introductory Physics
Ch. 3.1 - A block is moving to the left on a frictionless,...Ch. 3.1 - In a separate experiment, two hands push...Ch. 3.1 - Shown at right is a side-view diagram of the...Ch. 3.1 - Recall the motion of the block in part B. For each...Ch. 3.1 - Generalize from your answers to pans A—D to...Ch. 3.1 - A glider, glider A, Is pulled by a suing across a...Ch. 3.1 - The diagrams at right show two identical gliders...Ch. 3.1 - A block on a frictionless table is connected to a...Ch. 3.2 - Three students discuss the final momentum and...Ch. 3.2 - Which cart takes longer to travel between the two...
Ch. 3.2 - Use Newton's second law and the definition of...Ch. 3.2 - How does the net work done on cart A(Wnet,A)...Ch. 3.2 - Refer again to the discussion among the three...Ch. 3.2 - Release the ball so that it rolls straight toward...Ch. 3.2 - Release the ball at an angle to the ramp as shown...Ch. 3.2 - How does the direction of the net force on the...Ch. 3.2 - How does the change in kinetic energy of the ball...Ch. 3.2 - For motion 1, draw vector in region II of the...Ch. 3.2 - For motion 2, draw vectors in region II of the...Ch. 3.2 - Consider the change in momentum vectors you...Ch. 3.3 - What differences between gliders M and N could...Ch. 3.3 - For experiment 1,draw and label separate free-body...Ch. 3.3 - In the spaces provided, draw and label vectors to...Ch. 3.3 - A student compares the final speeds of gliders M...Ch. 3.3 - A. Suppose that glider D is free to move and...Ch. 3.3 - A second experiment is performed in which glider D...Ch. 3.3 - Consider the two experiments described above. When...Ch. 3.3 - When the momentum of an object or system of...Ch. 3.3 - Two students the second experiment, in which...Ch. 3.4 - Draw separate free-body diagrams for each block...Ch. 3.4 - Rank the magnitudes of all the horizontal forces...Ch. 3.4 - The velocity vectors for blocks A and B are shown...Ch. 3.4 - Use your knowledge of the velocities and changes...Ch. 3.4 - Draw and label a free-body diagram for system C at...Ch. 3.4 - Write an equation for the momentum of system C in...Ch. 3.4 - Generalize from your results to answer the...Ch. 3.4 - Imagine a single object whose mass is equal to the...Ch. 3.4 - What are the external forces exerted on system C...Ch. 3.4 - The momentum vectors of each block before the...Ch. 3.4 - Draw arrows that represent the direction of the...
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