At a height of 10 m, there is an aluminum cube with an edge of 10 cm. Calculate the reserve of its potential energy.

h = 10 m.

g = 10 m / s2.

a = 10 cm = 0.1 m.

ρ = 2700 kg / m3.

Ep -?

The potential energy of the cube, En, which was raised to a height h above the earth’s surface, is determined by the formula: En = m * g * h, where m is the mass of the cube, g is the acceleration of gravity.

We express the mass of a cube m by the formula: m = V * ρ, where V is the volume of the cube, ρ is the density of the material from which it is made.

The volume of the cube V is determined by the formula: V = a3.

En = a3 * ρ * g * h

Since the cube is made of aluminum, according to the density table of substances, its density is ρ = 2700 kg / m3.

Ep = (0.1 m) 3 * 2700 kg / m3 * 10 m / s2 * 10 m = 270 J.

Answer: an aluminum cube has a potential energy of Ep = 270 J.