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 3.1, Problem 1aT
A block is moving to the left on a frictionless, horizontal table. A hand exerts a constant horizontal force on the block.
1. Suppose that the work done on the arrows at right to show the direction of the displacement of the block and thedirection of the force by the hand.
Explain how you chose the direction of the force on the block by the hand.
Is the block speeding up, slowing down, or moving with constant speed? Explain.
2. Suppose that the block again moves to the left but now the work done by the hand is negative. In the space at right,draw arrows to represent the direction of the displacement of the block and the direction of the force by the hand.
Explain how you chose the direction of the force on the block by the hand.
Is the block speeding up, slowing down, or moving with constant speed? Explain.
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Students have asked these similar questions
Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Sketch the harmonic.
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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