Work, Power and Energy Part 1

Let the block compress the spring by x before coming to rest.
Initial kinetic energy of the block = (potential energy of compressed spring) + work done due to friction.
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1

2

×2×(4)2=‌

1

2

×10000×x2+15×x
10,000x2+30x−32=0
⇒5000x2+15x−16=0
=0.055m=5.5‌cm