From Principles of Physics by Serway and Jewett A major motor company displays a

Question

From Principles of Physics by Serway and Jewett A major motor company displays a die-cast model of itsfirst automobile, made from 9.35kg of iron. To celerate itshundredth year in business, a worker will recast the model in goldfrom the original dies. What mass of gold is needed to make the newmodel? The density of iron is 7.86 x 10^3 kg/m^3 and that of gold is 19.3 x 10^3 kg/m^3 A major motor company displays a die-cast model of itsfirst automobile, made from 9.35kg of iron. To celerate itshundredth year in business, a worker will recast the model in goldfrom the original dies. What mass of gold is needed to make the newmodel? The density of iron is 7.86 x 10^3 kg/m^3 and that of gold is 19.3 x 10^3 kg/m^3

Explanation / Answer

We know that : .          Density = Mass / Volume .      From the above relation , .          Density isdirectly proportional to mass . .        or    D1 / m1   = D2 / m2 .        or      m2        = (D2 * m1) / D1 .                               = (19.3 x 10^3 * 9.35) / 7.86 x 10^3 .                               = 22.96 kg . Hope this helps u!

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