Question

Derive an expression for gravitational potential energy​

Answer 1

Derive the expression for gravitational potential energy?

When a body of mass (m) is moved from infinity to a point inside the gravitational influence of a source mass (M) without accelerating it, the amount of work done in displacing it into the source field is stored in the form of potential energy this is known as gravitational potential energy. It is represented with the symbol Ug.

Considering mass "m" and height "h"

We have formula,

w=fh ........(1)

and

f=mg ........(2)

From (1) and (2), we have,

w=mgh

Gravitational potential energy is given by,

E p=w

∴E p =mgh

$bts \: exo$

Answer 2

$\sf{Considering \: mass \: "m" \: and \: height \: "h"}$

$\sf{we \: have \: formula}$

$\sf{w \: = fh}........(1)$

$\sf{and}$

$\sf{f=mg........(2)}$

$\sf{from \: 1 \: and \: 2 \: we \: have}$

$\sf{w = mgh}$

$\sf{Gravitational \: potential \: energy \: is \: given \: by,}$

$\sf e_{p} = w$

$\sf{∴ep = mgh}$

$\sf \red{Hence, \: this \: is \: the \: answer.}$