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A calorie is a unit of heat (energy in transit) and it equals about 4.2 J where lJ-1 kgm2 s-2. Suppose we employ a system of units in which the unit of mass equals αkg, the unit of length equals ßm, the unit of time is γ s. Show that a calorie has amagnitude 4.2 α-1 β-2 γ2 in terms of the new units

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how can we write 1kg = 1/a



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