A block of mass `m=37.5 kg` is placed on a table of mass `M = 12.25 kg` which can move without friction on a levelm floor. A particle of mass `m_(0) = 0.25 kg` moving horizontally with velocity `v_(0)=302 ms^(-1)` strikes the block completely inelastically. Calculate the distance through which the block moves relative to the table before they acquire a common velocity and also calculate that common velocity (`mu` between block and table = 0.25)

Answer

`0.2 m, 1.51 ms^(-1)`