Spring constant problem: Work done, speed of block, maximum compression
A 230 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 2.5 N/cm (Fig. 7-30). The block becomes attached to the spring and compresses the spring 14 cm before momentarily stopping.
What work is done on the block by the spring force while the spring is being compressed? (in J)
What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (in m/s)
If the speed at impact is doubled, what is the maximum compression of the spring? (in m)
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