Each hand pushes with a constant force 4. Two identical blocks are connected by an ideal spring. The blocks are pushed towards each other across a level frictionless surface by hands that each exert a constant horizontal force of magnitude F. At time t, the blocks have speed v, and the spring is at its equilibrium length. At time t2, when the experiment ends, the blocks have each moved a distance d,. The speed of each block at time t2, V2, is less than v,. of magnitude F, v, v, k A d State whether each of the following quantities is positive, negative, or zero during the interval from t to t2. Explain. a. t= 1, A P B i. The work done on block A by the hand Kd, ii. The work done on block B by the hand sidizn o-sdi taili oz ms aoor a doii l ap nielyx layisnt eid iii. The net work done by external forces the spring.) system S (consisting of block A, block B, and b. During the interval from t to t2, does the total energy of system S increase, decrease, or sta the same? Explain. с. Consider the following statement: "The kinetic energy of the system decreases, since the final speed of the blocks is less than the initial speed of the blocks. At the same time, the potential energy of the system increases because the spring is being compressed. Since the total energy of the system is equal to the kinetic energy plus the potential energy, these two changes cancel each other out and the total energy of the system stays the same." Do you agree or disagree with this statement? Explain.
Each hand pushes with a constant force 4. Two identical blocks are connected by an ideal spring. The blocks are pushed towards each other across a level frictionless surface by hands that each exert a constant horizontal force of magnitude F. At time t, the blocks have speed v, and the spring is at its equilibrium length. At time t2, when the experiment ends, the blocks have each moved a distance d,. The speed of each block at time t2, V2, is less than v,. of magnitude F, v, v, k A d State whether each of the following quantities is positive, negative, or zero during the interval from t to t2. Explain. a. t= 1, A P B i. The work done on block A by the hand Kd, ii. The work done on block B by the hand sidizn o-sdi taili oz ms aoor a doii l ap nielyx layisnt eid iii. The net work done by external forces the spring.) system S (consisting of block A, block B, and b. During the interval from t to t2, does the total energy of system S increase, decrease, or sta the same? Explain. с. Consider the following statement: "The kinetic energy of the system decreases, since the final speed of the blocks is less than the initial speed of the blocks. At the same time, the potential energy of the system increases because the spring is being compressed. Since the total energy of the system is equal to the kinetic energy plus the potential energy, these two changes cancel each other out and the total energy of the system stays the same." Do you agree or disagree with this statement? Explain.
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:**Problem 4:**
Two identical blocks are connected by an ideal spring. The blocks are pushed towards each other across a level frictionless surface by hands that each exert a constant horizontal force of magnitude \( F_0 \). At time \( t_1 \), the blocks have speed \( v_1 \), and the spring is at its equilibrium length. At time \( t_2 \), when the experiment ends, the blocks have each moved a distance \( d_0 \). The speed of each block at time \( t_2 \), \( v_2 \), is less than \( v_1 \).
**a.** State whether each of the following quantities is positive, negative, or zero during the interval from \( t_1 \) to \( t_2 \). Explain.
i. The work done on block A by the hand
ii. The work done on block B by the hand
iii. The net work done by external forces on system S (consisting of block A, block B, and the spring.)
**b.** During the interval from \( t_1 \) to \( t_2 \), does the total energy of system S increase, decrease, or stay the same? Explain.
**c.** Consider the following statement:
"The kinetic energy of the system decreases since the final speed of the blocks is less than the initial speed of the blocks. At the same time, the potential energy of the system increases because the spring is being compressed. Since the total energy of the system is equal to the kinetic energy plus the potential energy, these two changes cancel each other out and the total energy of the system stays the same."
Do you agree or disagree with this statement? Explain.
**Explanation of Diagrams:**
- **Top Diagram**: Shows two blocks (A and B) connected by a spring and each block has a force \( F_0 \) acting on it. The spring is at equilibrium with a speed \( v_1 \) for both blocks.
- **Bottom Diagram**: Indicates the blocks are closer together, compressing the spring, and have a reduced speed \( v_2 \). The distance between each block is \( d_0 \).
The diagrams illustrate the initial and final states of the system, highlighting the changes in compression of the spring and the speed of the blocks.
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