How much potential energy due to gravity would a person have if they were standing on top of a building that is 36.2 m high? Assume that they have a mass of 79.2 kg.

Respuesta :

Given:

The mass of thee person is

[tex]m=79.2\text{ kg}[/tex]

The height at which person standing is

[tex]h=36.2\text{ m}[/tex]

Required: calculate the potential energy of the person

Explanation:

when anybody of mass m is at a distance h from the earth's surface then it has potential energy that is given as

[tex]P.E=mgh[/tex]

where g is the acceleration due to gravity whose value is

[tex]9.8\text{ m/s}^2[/tex]

Plugging all the values in the above relation, we get;

[tex]\begin{gathered} P.E=79.2\text{ kg}\times9.8\text{ m/s}^2\times36.2\text{ m} \\ P.E=28096.992\text{ J} \end{gathered}[/tex]

Thus, the potential energy is

[tex]28096.992[/tex]