At what height from the surface of the Moon will the body have the same potential inertia as at an altitude of 80 m

At what height from the surface of the Moon will the body have the same potential inertia as at an altitude of 80 m above the surface of the earth? Free fall acceleration on the Moon 1.6m / s ^ 2

Given:

g = 9.8 m / s ^ 2 – acceleration of gravity on Earth;

g1 = 1.6 m / s ^ 2 – acceleration of gravity on the Moon;

H1 = 80 meters – body height above the Earth’s surface;

En – potential energy of the body at the height H1 above the Earth’s surface.

It is required to determine H2 – the height of the body above the surface of the Moon, corresponding to the value of En on Earth.

By the condition of the problem:

m * g1 * H1 = m * g2 * H2;

g1 * H1 = g2 * H2;

H2 = g1 * H1 / g2 = 9.8 * 80 / 1.6 = 784 / 1.6 = 490 meters.

Answer: the body will have the same potential energy at an altitude of 490 meters.