Question

Derive the formula for potential energy.

Answer 1

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P.E. = mgh

step-by-step explanation:

♣What is Potential Energy?

✍️ It is the energy possessed by a body by virtue of its motion.

♣ Derivation

✍️ Let us consider a body of mass 'm' raised to a height 'h' from the ground.

Then,

the amount of work done (W) in raising that body is given by,

W = F × h .................(i)

where,

F is the force acting on the body.

Now,

since the body is raised to a ht. from ground,

only gravitational force is acting on it.

Also,

we know that,

Force due to gravity is given by,

F = mg ....................(ii)

where,

m = mass of the body

g = Acceleration due to gravity

Putting the value of F from eqn (ii) in eqn (i),

we get,

W = (mg) × h

W = mgh

But,

we know that,

work done by a body is also equals to Energy possesed by it,

so ,

here,

W = Potential Energy

=> P.E = mgh

where,

m = mass of the body

g = Acceleration due to gravity

h = height at which the body is raised

Answer 2

Answer :-

Potential Energy = mgh

where,

m = Mass of the body

g = Acceleration due to gravity

h = Height at which the body is raised