Two masses `m_(1)= 5kg and m_(2)=4kg` tied to a string are hanging over a light frictionless pulley. What is the acceleration of each mass when left free to move? `(g=10ms^(-2))`

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)`