A calorie is a unit of heat or energy and it equals about 4.2 J where 1 J = 1 kg m2 s-2 Suppose we employee a system of units in which the unit of mass equal α kg, the unit of length equal β m, the unit of time is γ s. Show that a calorie has a magnitude 4.2 α -1 β -2 γ 2 in term of the new units.