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A calorie is a unit of heat (energy in t...

A calorie is a unit of heat (energy in transit) and it equals about 4.2 J where `1 J = 1kg m^(2) s^(-2)`. Suppose we employ a system of units in which the unit of mass equals `alpha` kg, the unit of length equals `beta`m, the unit of time is `gamma` s. Show that a caloride has a magnitude `4.2 alpha^(-1) beta^(-2) gamma^(2)` in terms of the new units.

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

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