Question

derive an expression to find kinetic energy

Answer 1

Kinetic Energy:

The energy possessed by an object due to its motion is called as kinetic Energy.

Derivation:

Let us consider an object of mass " m " which is at rest on smooth horizontal plane.

Let a Force , F acts on the object and let the object from rest moves from point A to point B and covers a displacement S.

The WORK Done by Force on the object is :

Workdone = Force x displacement.

W= FxS ____(1).

From third equation of motion;

V^2 -U^2 =2aS

S= V^2 -U^2/2a ______(2)

By Newtons second law of motion:

F= ma

From equation 1 and 2

W= m*a* (V^2- U^2)/2a

As we have assumed object is at rest, u=0

W=m*V^2/2

The WORK Done appears as kinetic energy of the body.

Therefore,

K.E = (1/2 )mv^2

Answer 2

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