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In the figure below, a small block of mass m = 0.02 kg can slide along the frict

ID: 2026457 • Letter: I

Question

In the figure below, a small block of mass m = 0.02 kg can slide along the frictionless loop-the-loop, with loop radius 11 cm. The block is released from rest at point P, at height h = 16R above the bottom of the loop. (For all parts, answer using g for the acceleration due to gravity, and R and m as appropriate.)

(a) How much work does the gravitational force do on the block as the block travels from point P to point Q?
J

(b) How much work does the gravitational force do on the block as the block travels from point P to the top of the loop?
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(c) If the gravitational potential energy of the block-Earth system is taken to be zero at the bottom of the loop, what is the potential energy when the block is at point P?
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(d) What is the potential energy when the block is at point Q?
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(e) What is the potential energy when the block is at the top of the loop?
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(f) If, instead of being released, the block is given some initial speed downward along the track, do the answers to (a) through (e) increase, decrease, or remain the same?)

Explanation / Answer

a)0.9172 j b)0.8790 j c)0.9555 j d)0.03822 j e)0.07644 j f)decrease