A 3.5kg block is accelerated by a compressed spring whose spring constant is 640

Question

A 3.5kg block is accelerated by a compressed spring whose spring constant is 640 N/m. After the block is launched (when the spring is in its relaxed position), it travels over a horizontal surface with a coefficient of kinetic friction of 0.25, for a distance of 7.8m before stopping. a) How much mechanical energy was dissipated by the fricitonal force to bring the block to a stop? b) What was the maximum kinetic energy of the block? c) Through what distance was the spring compressed before the block began to move?

Explanation / Answer

The max KE is equal to the work done by friction 3.5*9.8*0.25*7.8 66.885 J that is the answer to a and b the max Ke is equal to the energy stored in the spring 66.885=.5*640*x^2 solve for x x=sqrt(2*66.885/640) 0.4572 m

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