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(b) The tension in the string is the same for both setups when the strings are vertical. In a clear, coherent, paragraph-length response, do

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(b) The tension in the string is the same for both setups when the strings are vertical. In a clear, coherent, paragraph-length response, do the following. Explain your reasoning for your response to part (a). Explain why the string tension could be the same for both setups when the strings are vertical. You do not need to show mathematically that the tensions are equal. You only need to provide reasoning for why they could be equal. 0/10 This question is a short free-response question. Show your work for each part of the question. (10 points, suggested time 15 minutes) L 10A! Larger | Angle Setup A Smaller | Angle Setup B Note: Figures not drawn to scale. Students construct two experimental setups A and B, as shown above. Each setup consists of a small block attached to a string with negligible mass and length L. The block in setup A is less massive than the block in setup B. The tops of the strings are fixed in place. The blocks are held so that the strings make different angles CA (theta A) and A (theta B) with the vertical, where A > 0 B. The blocks are then released from rest. < (a) Consider the instant in each block's motion when the string is vertical. Is the speed of the block at this instant greater for setup A, greater for setup B, or the same for potn setups? Note: Figures not drawn to scale. Another experimental setup is created, this time with two blocks of equal mass that are taped together, as shown above at left. When the string is vertical, as shown above center, the tape fails and the bottom block separates from the top block and falls to the floor. The top block is still attached to the string and reaches the highest point of its swing before the bottom block reaches the floor, as shown above at right. (c) Consider the time interval from immediately after the tape fails to the instant the top block reaches the highest point of its swing. Is there a system that includes one or more of the objects listed below for which the total mechanical energy of the system is constant during this interval? If so, write the object or objects in the system from the list below. If there is no such system using the objects listed below, indicate "no such system." Briefly explain your reasoning. The top block The bottom block Earth L Lower, Closer to Floor Higher Above Floor Note: Figures not drawn to scale. Now two experimental setups are constructed that use strings of the same length L and identical blocks. The strings are at the same initial angle from the vertical when each block is released, as shown above. However, one of the setups is positioned higher above the floor. This time, the string in each setup breaks when it is vertical, as shown below in the middle figure for one setup. Each block then falls to the floor, as shown at right below. Horizontal Displacement Note: Figures not drawn to scale. (d) Is the horizontal displacement, from where the string breaks to where the block hits the floor, greater for the block that was closer to the floor, greater for the block that was higher above the floor, or the same for both blocks? Briefly explain your reasoning.

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