1.

In the previous problem, the coefficientof kinetic friction is μk, between blockand surface. How much is the springcompressed?

Answer»

The friction force produces an additional energy term in the energy equation. The energy equation is (1/2)MV2 = (1/2)ks2+Mgμks, where Mg is the normal force, and s is the sliding distance, which is equal to the spring compression. This is a quadratic equation with two roots. We reject the negative root. The positive root is the solution.

Answer: s = -(Mgμk)/k+(1/k)[(Mgμk)2+MkV2]1/2



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