What is the mass of a person if at an altitude of 30 m he has a potential energy of 29 kJ?

Since a person is in the gravitational field of the Earth, then his potential energy is calculated by the formula:

Ep = m * g * h, where Ep is the value of the potential energy of a person (Ep = 29 kJ = 29 * 10 ^ 3 J), m is the desired mass of a person (kg), g is the acceleration of gravity (we take g = 9.8 m / s²), h is the height of a person relative to the earth’s surface (h = 30 m).

Let us express and calculate the body mass:

m = Ep / (h * g) = 29 * 10 ^ 3 / (9.8 * 30) = 98.64 kg.

Answer: The mass of a person is 98.64 kg.