A 200 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 4.4 N/cm (see the figure). The block becomes attached to the spring and compresses the spring 15 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring?

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A 200 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 4.4 N/cm
(see the figure). The block becomes attached to the spring and compresses the spring 15 cm before
momentarily stopping. While the spring is being compressed, what work is done on the block by (a)
the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it
hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the
maximum compression of the spring?
Transcribed Image Text:A 200 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 4.4 N/cm (see the figure). The block becomes attached to the spring and compresses the spring 15 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring?
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