Question

Derive the expression for K.E of body having mass m moving with the speed of V meter per sec​

Answer 1

Answer:

PROOF~

HERE YOU GO

Consider a body of mass "m" starts moving from rest. After a time interval "t" its velocity becomes V.

If initial velocity of the body is Vi = 0 ,final velocity Vf = V and the displacement of body is "d". Then

First of all we will find the acceleration of body.

Using equation of motion

2aS = Vf^2 – Vi^2

Putting the above mentioned values

2ad = V^2 – 0

a = V^2/2d

Now force is given by

F = ma

Putting the value of acceleration

F = m(V^2/2d)

As we know that

Work done = Fd

Putting the value of F

Work done = (mv2/2d)(d)

Work done = mV^2/2

OR

Work done = ½ mV^2

Since the work done is motion is called "Kinetic Energy"

i.e.

K.E. = Work done

OR

K.E. =1/2mV^2

HOPE IT HELPS YOU .........

THANKS........

@anmol