Determine the mass of a body raised to a height of 8 m and having a potential energy of 2195.2 J.

Given:

h = 8 m,

g = 9.8 m / s ^ 2,

Ep = 2195.2 J.

Find the mass m.

Let’s write down the formula for potential energy.

En = mgh.

Let us write down what is the mass m from this formula.

m = Ep: (g * h).

m = 2195.2: (9.8 * 8) = 28 kilograms.

Let’s check the units.

1J: (1 m / s ^ 2 * m) = (1 kg * m ^ 2 / s ^ 2): (1 m / s ^ 2 * m) = 1 kg.

Answer: Body weight 28 kilograms.