The block of mass M in figure `-4.160,` initially has a velocity `v_(o)` to the right and its positionis much that the spring exerts no froce on it, i.e, the spring is not stretched or comkpressed. The block moves to the right a distance l before sttoping in the dotted position shown. The speing constant is k and the coefficeent of kinetic friction between block and table is `mu.` as the block moves the distance l, what is the work done on it by the friction force ? (b) What is the work done on it by the spring force ? (c) are there other forces actionon the block, and if so what work do they do ? (d) what is the total work done on the block? (e) find the value of l.

Answer

`"["mumgl,-1/2kl^(2),No0,-"("mumgl+1/2kl^(2)")" l=2"mu"mg+sqrt(4mu^(2)m^(2)g^(2)+4kmv^(2))"]"`