How to find density if volume, height and energy are known?

Potential energy (in the gravitational field of the Earth): Ep = mgh, where m is the mass of the body, g is the acceleration of gravity, h is the height of the body above the zero level. Knowing the values of the potential energy and the height of the body above the zero level, we express the value of the body mass: m = Ep / hg.
Since the density is the ratio of the mass to the occupied volume (the volume is known from the conditions of the problem), the density of the body is equal to:
p = m / V = (Ep / hg) / V = Ep / hgV.
Check: The density is equal to p = Ep / hgV.



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