A calorie is a unit of heat or energy and it equals about 4.2 Jwhere 1J = 1 kg m2s–2. Suppose we employa system of units in which the unit of mass equals α kg, theunit of length equals β m, the unit of time is γs. Show that a calorie has a magnitude 4.2 α–1β–2 γ2in terms of the new units.

A calorie is a unit of heat or energy and it equals about 4.2 Jwhere 1

1.	A calorie is a unit of heat or energy and it equals about 4.2 Jwhere 1J = 1 kg m2s–2. Suppose we employa system of units in which the unit of mass equals α kg, theunit of length equals β m, the unit of time is γs. Show that a calorie has a magnitude 4.2 α–1β–2 γ2in terms of the new units.
Answer» A calorie is a unit of heat or energy and it equals about 4.2 J where 1J = 1 kg m²s^–2. Suppose we employ a system of units in which the unit of mass equals α kg, the unit of length equals β m, the unit of time is γ s. Show that a calorie has a magnitude 4.2 α^–1 β^–2 γ²in terms of the new units.

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