A block of mass m is pushed momentarily along a horizontal surface with an initial velocity u. If `mu_(k)` is the coefficient of kinetic friction between the object and surface, find the time at which the block comes to rest.

Explanation

By the principle of homogeneity, `a//V^(2)` is of the dimensions of pressure  and b is of the dimensions of volume.
[a] = [pressure] `[V^(2)]= [ML^(-1) T^(-2)] [L^(6)]= [ML^(5)T^(-2)]`
[b] `=[V]= L^(3)`