what percent of the mechanical energy was lost by the time the mass first reache

Question

what percent of the mechanical energy was lost by the time the mass first reached the equilibrium point?block with mass of 5.00 kg is attached to a horizontal spring with spring constant k = 4.00 102 N/m, as in the figure. The surface the block rests upon is frictionless. If the block is pulled out to xi = 0.0500 m and released, (a) find the speed of the block when it first reaches the equilibrium point, (b) find the speed when x = 0.0250 m, and (c) repeat part (a) if friction acts on the block, with coefficient ?k = 0.150.

Explanation / Answer

I am only solving the last part.

COnserving energy,

0.5kx2=mgx+0.5mv2

Solving for v,

v2=(k/m)x2-gx=0.1265

v=0.356m/s

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