Question

obtain an expression for kinetic energy Ek​

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=F×S ____(1).

From third equation of motion;

V 2 −U 2 =2aS

S= 2aV 2 −U 2

______(2)

By Newtons second law of motion:

F=ma

From equation 1 and 2

W= 2am∗a∗(V 2 −U 2)

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

W= 2mV²

The Work Done appears as kinetic energy of the body.

Therefore,

K.E=( 21 )mV²

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