The variable m has dimensions of mass, h and y have dimensions of length, and t1 and t2 have dimensions of time. What are the dimensions of the following quantities? (Use the following as necessary: M for units of mass, L for units of length, and T for units of time.) (a) m1y/t2 (b) hy/t12 (c) y3/(ht1) Solution (a) m1y/t2 [M][L]/[T] there is no simplification so the units are ML/T (b) hy/t12 [L][L]/[T] simplifies as L2/T (c) y3/(ht1) [L]/[L][T] simplifies as 1/T.