Work, Power and EnergyHard

Question

A box of mass m is initially at rest on a horizontal force of mg / 2 is applied to the box directed to the right. the coefficient of friction of the surface changes with the distance pushed as μ = μ0x where x is the distance from the initial location. For what distance is the box pushed initial it comes to rest again ?

Options

A.
B.
C.
D.

Solution

Net change in kinetic energy = 0 ⇒ net work W = 0
W = dW = Fdx - μNdx = x - mgμ0 xdx = 0 ⇒ =

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