Consider the physical quantities m, s, v, a, and t with dimensions [m] = M, [s] = L,
[v]=LT −1,[a]=LT −2, and [t] = T. Assuming each of the following equations is dimensionally consistent, find the dimension of the quantity on the left-hand side of the equation:
a) F = ma;
b) K = 0.5mv²;
c) p = mv;
d) W = mas;
e) L = mvr.