A block of mass m rests on a rough horizontal plane having coefficient of kinetic friction µ k and coefficient of static friction µ s . The spring is in its natural length, when a constant force of magnitude P = 
starts acting on the block. The spring force F is a function of extension x as F = kx 3 . (Where k is spring constant)
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
5µ k > 4µ s
x = 
Sol. For motion to start
> µ s mg or 5µ k > 4µ s
At the final position of the block extension in spring is maximum and the speed of the block is v
= 0. Hence the net work done in taking the block from initial to final position
W = work done by P + work done by spring force F + work done by friction = 
K = 0
= Px – 
– µ k mgx = 
.x – 
–µ k mgx = 0
solving we get x = 
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