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Write detailed answer 1) derive the formula for kinetic energy of an object od mass m, moving with velocity v

Answer»

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



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