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A calorie is a unit of heat or energy an...

A calorie is a unit of heat or energy and it equals about 4.2 j where 1 J = 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 and the unit of time is `lambda`s. Show the a calorie has a magnitude `4.2 alpha^(-1) beta^(-2) gamma^(2)` in terms of the new units.

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