A calorie is a unit of heat (energy in transit) and it equals about 4.2 J where 1J = 1 kg m2 s¯². Suppose we employ a system of units in which the unit of mass equals a kg, the unit of length equals b m, the unit of time is g s. Show that a calorie has a magnitude 4.2 a ¯¹1 b ¯² g² in terms of the new units.

A calorie is a unit of heat (energy in transit) and it equals about 4.

1.	A calorie is a unit of heat (energy in transit) and it equals about 4.2 J where 1J = 1 kg m2 s¯². Suppose we employ a system of units in which the unit of mass equals a kg, the unit of length equals b m, the unit of time is g s. Show that a calorie has a magnitude 4.2 a ¯¹1 b ¯² g² in terms of the new units.
Answer» A calorie is a unit of heat (energy in transit) and it equals about 4.2 J where 1J = 1 kg m2 s¯². Suppose we employ a system of units in which the unit of mass equals a kg, the unit of length equals b m, the unit of time is g s. Show that a calorie has a magnitude 4.2 a ¯¹1 b ¯² g² in terms of the new units.

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