Physics

A piece of gold-aluminium alloy weighs 49N when suspended from a spring balance and submerged in water it weighs 39.2N what is the weight of Gold in the alloy if the specific gravity of gold is 19.3 and aluminium is 2.5?

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  1. specific gravity = 49 / (49 - 39.2)

    (x * 19.3) + [(1 - x) * 2.5] = specific gravity

    x is the fraction of the alloy that is gold

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  2. 19.3 + 2.5 = 21.8.

    19.3/21.8*49 = 43.4 N. of gold.
    49-43.4 = 5.6 N. of of aluminum.

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