Question

A body A of mass 1kg undergoes a head-on elastic collision with a body B of mass 1kg. If at the same time of collision the bodies were moving with velocities 100m/s and 50m/s in the same direction. What will be their velocities afer collision?

Answer 1

Hello friend
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Here is your answer!!!!!

In in your question.

Given:

The mass of the first body(m1) = 1kg.

The mass of the second body(m2) = 1kg

Initial velocity of the first body (u1)= 100m/s.

Initial velocity of the second body(u2) =50m/s.

Finally velocity of both the body= ?

hence,

v1 = v2 = v

By applying the formula,

m1u1 + m2u2 = m1v1 + m2v2

here we replaced v1=v2 = v.

Let the v1 and v2 be the common velocities of the body.

So,

(1 x 100) + (1 x 50) = (1 x v) + (1 x v)

100 + 50 = v(1+1)

150 = 2v.

v = 150/2

v = 75m/s.

Therefore their velocity is 75m/s.

I hope this will helps you.

Thanks.