Verified answer

Two bodies of mass M1 and M2 move in the same direction with velocities U1 and U2 collide (U1 > U2)after collision they velocity becomes V1 and V2.

As it is Elastic collision,

Both Momentum and Kinetic energy will be conserved.

Momentum (P) is conserved:-

Now,

Kinetic energy (K.E) is conserved:-

Now,

Half on each sides will get cancel

Then,

Now, From equation (1)

Rearranging it

Now, From equation (2)

Rearranging it

Now Divide equation (4) with equation (3)

Case-1

I.e

As we know,

Now,

It becomes,

Now,

Substituting the above equation In equation (1).

Rearranging,

Now,

Case-2

Now , take

substituting the above equation in equation (1).

After simplifying,

we will get,

Hence derived.

Note:-

In case-2 the procedure will be same that of case - 1.