Question

what is potential energy Prove that the gravitational P.E=mgh?

Answer 1

the potential energy is a type of energy
example for potential energy
when we throw a ball we can calculate it's p.e by the formula of P.E = m×g×h
which is
m = mass
g = gravitational force
h = height


I hope this helps

Answer 2

$\huge \text {Answer -}$

$\large \textbf {Potential \: energy-}$

-The energy of a body due to its position or change in shape is known as potential energy.

$\large \textbf {Formula \: for \: potential \: energy}$

-The potential energy of a body is due to its higher position above the earth and its equal to the work done on the body, against gravity, in moving the body to that position.

-So, to find out the potential energy of a body lying at a certain height, all that we have to do is to find out the work done in taking the body to that height.

-Suppose a body of mass $m$ is raised to a height $h$ above the surface of the earth (see figure).

-The force acting on the body is the gravitational pull of the earth $m \times g$ which acts in the downward direction.

-To lift the body above the surface of the earth, we have to do work against this force of gravity. Now,

$Work \: done \: = \: Force \times Distance$

So, $W \: = \: m \times g \times h$

This work gets stored up in the body as potential energy. Thus,

$\textbf \red {Potential \: energy \: = \: m \times g \times h}$

Where,

$m$ = mass of the body

$g$ = acceleration due to gravity

$h$ = height of the body above the reference point, say the surface of earth

$\huge {Be} ^ {Brainly}$