Work, Power and EnergyHard

Question

system is placed on a rough horizontal surface having coefficient of frictional μ. The spring initial elongation and the block is released from rest. rest For the subsequent motion

Options

A.Initial acceleration of block is 2μg.
B.Maximum compression in spring is
C.Minimum compression in spring is zero
D.maximum speed of the block is

Solution

For (A) : initial acceleration =
For (B, C) :
Therefore maximum compression = and minimum compression = 0
For (D) : At maximum speed Fnet = 0 so by using work energy theorem
mv2 = k ⇒ v = 2μg

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