Question

Derive gravitational potential energy (mgh)

Answer 1

P.E = mgh(m=mass)

(g=gravitational acceleration)

(h=height of elevation)

Explanation:

Potential energy is the work done to take a body to a certain height. For a body with mass m, h is the distance to which it is raised and g is the gravitational force acting on the body, then work done W is given as:

W = force * displacement

W = mg * h

∴ W = mgh

As the work done is equal to mgh which is gained by the object, potential energy Ep is given as:

Ep = mgh

Therefore, above is the derivation of potential energy.