1.

Derive an expression for kinetic energy of a body having a mass m and moving wih a velocity v​

Answer»

Answer:

K.E=1/2 mV 2

Explanation:

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=

2a

V

2

−U

2

______(2)

By Newtons second law of motion:

F=ma

From equation 1 and 2

W=

2a

m∗a∗(V

2

−U

2

)

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

W=

2

mV

2

The Work Done appears as kinetic energy of the body.

Therefore,

K.E=(

2

1

)mV

2


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