(8c7p54) A 375-g block is dropped onto a vertical spring with spring constant k
ID: 1387094 • Letter: #
Question
(8c7p54) A 375-g block is dropped onto a vertical spring with spring constant k =230.0 N/m. The block becomes attached to the spring, and the spring compresses 52.2 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by its weight? While the spring is being compressed, what work is done on the block by the spring force? What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) If the speed at impact is doubled, what is the maximum compression of the spring?Explanation / Answer
(a) work done by weight = force * distance = mgh = 0.375 * 9.8 * .522 = 1.92J Ans
(b) work done by spring force = 1/2 * k * x2 = 0.5 * 230.0 * 0.5222 = 31.33J Ans
(c) speed of the block before it hits the spring = v where 1/2 mv2 = mgh so v2 = 2gh so v = (2*9.8*0.522)1/2= 3.2m/s Ans
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