Work Done by Gravity and Spring Force · CAP 2001 #14

Physics · mechanics

Problem

A vertical spring with constant 250 N/m and negligible mass is attached to a horizontal plate. A block of mass 0.255 kg is dropped onto the spring which compresses by 0.12 m before coming momentarily to rest. The following two numbers are the work done by the force of gravity, WgW_g, and the work done by the spring, WsW_s, (both over the total distance that the spring is compressed). (a) Wg=0.30W_g = 0.30 J, Ws=−1.8W_s = −1.8 J. (b) Wg=0.30W_g = 0.30 J, Ws=1.8W_s = 1.8 J. (c) Wg=−0.30W_g = −0.30 J, Ws=1.8W_s = 1.8 J. (d) Wg=−0.30W_g = −0.30 J, Ws=−1.8W_s = −1.8 J.

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