Question

Proof that the kinetic energy of a body of mass M moving with velocity V is given by half Mv square

Answer 1

Here is your answer mate...

HOPE IT HELPS!!

PLZ RATE BRAINLIST!! ✌️

Answer 2

Answer:

Explanation:

Let the initial velocity of the body at rest,u=0.

A force 'F' is applied on the body and it attempts the velocity 'v' after moving a distance 's'.

[a is the acceleration of the body]

Now ,

From v^2 =u^2+2as, we get,

v^2=u^2+2as

v^2=(0)^2+2as [ u=0 ]

v^2=0+2as

v^2=2as

s=v^2/2a

Now,we know that,

Work done by the body=Kinetic energy of the body

=F×s

=F×v^2/2a

=m×a×v^2/2a

=mv^2/2

=1/2mv^2

This,it is proved that the Kinetic energy of a body of mass m moving with velocity v is given by 1/2mv^2.

Hope this will help you.