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A calorie is a unit of heat energy and i...

A calorie is a unit of heat energy 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 and the units of time is `lambda`s. Show that a calorie has a magnitude of `4.2 alpha^(-1) beta^(-2) lambda^2` in terms of the new units.

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