Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 3.2, Problem 1aT
Three students discuss the final momentum and kinetic energy of each cart.
Student 1: "Since the same force is exerted on both carts, the cart with the smaller mass will move quickly, while the cart with the larger mass will move slowly. The momentum of each cart is equal to its mass times its velocity."
Student 2: "This must mean that the speed compensates for the mass anti the two carts have equal final momenta."
Student 3: "l was thinking about the kinetic energies. Since the velocity is squared to get the kinetic energy but mass isn’t, the cart with the bigger speed must have mare kinetic energy.”
In the space below, write down whether you agree or disagree with the statements made by each student.
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help on two part question
A. If a 10 kg mass, moving at 5 m/s to the right, hits and sticks to a 16 kg mass, moving at 19 m/s to the right, and they travel off together at the same speed to the right, find that speed.
B. If a 5 kg mass, moving at 7 m/s to the right, hits and sticks to a 19 kg mass, moving at 6 m/s to the left, and they travel off together at the same speed, find that speed.
I need help answering all the questions.
1. In each trial, use the mass of the cart and velocities to calculate the change in momentum.
In each trial, use the force and time to calculate the impulse.
2. Calculate the percent difference between the change in momentum and the impulse. Take the difference divided by the average times 100%. How close are your values? Does your data support the impulse-momentum theorem?
3. When you used two rubber bands, did you tie them end-to-end or side-by-side? What effect did this have on the time of the impulse? What affect did this have on the size of the force? What is a general rule about force and time from these observations?
1) Given two identical marbles, each of mass m, traveling together with a speed of v, what is the total linear momentum of this two-marble system? What is the total kinetic energy? (only need help with second question, this is just here for context)
2) If the two marbles from the previous question strike three stationary marbles (as in your previous tests), what is the total linear momentum of the marble(s) that are in motion after the collision? What is the total kinetic energy? (I ONLY NEED HELP WITH THIS SECOND QUESTION, I just put the first one for context.)
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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