A calorie is a unit of heat or energy and it equals about 4.2J where 1J = 1kg{m^2}{s^{ - 2}}. Suppose we employ a system of units in which the unit of mass equals α kg, the unit of length equals β m, and the unit of time is γ s. Show that a calorie has a magnitude of 4.2α^(-1)β^(-2)γ² in terms of the new units.
A calorie is a unit of heat or energy and it equals about 4.2J where 1J = 1kg{m^2}{s^{ - 2}}. Suppose we employ a system of units in which the unit of mass equals α kg, the unit of length equals β m, and the unit of time is γ s. Show that a calorie has a magnitude of 4.2α^(-1)β^(-2)γ² in terms of the new units.










