Question

prove kinetic energy = mgh

Answer 1

Hey User!!!

Its seems that your given statement is wrong !!!

So why to prove it ?????

ACCORDING TO PHYSICS ,, KINETIC ENERGY IS ALWAYS EQUAL TO = 1÷2×MASS×VELOCITY SQUARE...

AND POTENTIAL ENERGY IS ALWAYS EQUAL TO = MASS ×GRAVITY×HEIGHT .

SO, PLZ CORRECT YOUR STATEMENT IN THE GIVEN QUESTON...

HOPE IT HELPS U
THANKS.

Answer 2

Heya,

Seems question is wrng.
I guess the question is to Prove KE = 1/2mv^2
If yes,
Then:-

Kinetic Energy:-

The kinetic energy of a moving body is measured by the amount of work it can do before coming to rest.

Consider a body of mass 'm' moving with an initial velocity 'u'. When a force 'F' is applied on it , which displaces the object through a distance 's' and it's final velocity changes to 'v' and it produces an acceleration 'a'.

We know that,

v^2 - u^2 = 2as
s = v^2 - u^2/2a

Work done(W) = F × s

We know from Newton's second law of motion F = ma

W = ma × (v^2 - u^2/2a) (or)

W = 1/2 m(v^2 - u^2)

When the object starts from rest then it's initial velocity u = 0

Hence,

W = 1/2mv^2

This work done is stored in a form of KE

Therefore,

KE = 1/2 mv^2

Hope my answer helps you :)

Regards,
Shobana