A calorie is a unit of …

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A calorie is a unit of heat energy and it equals about 4.2joules where 1 joule is 1kg m^2 sΔ-2 supposed we employ a system of units in which the unit of mass is equals alpha kg the unit of lenght equals beta metre and the unit of time is gamma second show that calorie has a magnitude 4.2alpha -1 beta -1 gamma 2 in terms of new units
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