Question

With what minimun relative velocity should block be projected from left end a towards end b such that it reaches teh other end b of conveyer belt moving with constant velocity v . Friction coefficent between block and belt is u

Answer 1

Let initial velocity be uu , for the minimum initial projection speed (w.r.t belt), velocity of the body at the other end should be zero w.r.t the conveyor belt, which is moving with vv velocity in opposite direction. There will be slipping, hence the retardation will be -μgμgwith the total length of dd

⟹u2=2μgd⟹u2=2μgd

⟹u=2μgd−−−−√⟹u=2μgd