A 2 kg mass is released from rest and slides down an inclined plane of 60 degrees a distance of 1 meter. It strikes a 250 N/m spring. What is the maximum compression of a spring?
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The distance that it drops is H = 1 meter * sin 60 = 0.866 m
M g H is the potential energy lost. This equals the energy that can be stored at maximum spring compression, (1/2) k X^2. k is the spring constant, which is given.
Compute X from that equality