Compare the potential energies of a copper and aluminum ball of equal dimensions, raised to the same height

Compare the potential energies of a copper and aluminum ball of equal dimensions, raised to the same height, The density of copper is 8900 kr / m3 and aluminum is 2700 kg / m3.

To compare the potential energies of the taken balls, we use the ratio (we take into account that the balls are at the same height and have the same dimensions): k = mm * g * h / (ma * g * h) = mm / ma = ρm * V / (ρa * V) = ρm / ρa.
Values of constants: ρm – copper density (ρm = 8900 kg / m3); ρа is the density of aluminum (ρа = 2700 kg / m3).
Let’s perform the calculation: k = ρm / ρa = 8900/2700 = 3.3 p.
Answer: A copper ball should have a potential energy of 3.3 times that of an aluminum one.



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