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