In the case of friction, what percent of the mechanical energy was lost by the t

Question

In the case of friction, what percent of the mechanical energy was lost by the time the mass first reached the equilibrium point? (Hint: use the answers to parts (a) and (c).)

Problem A 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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