Question

A particle moving with certain velocity collides elastically with another particle at rest. If it were head on collision, the K.E. transferred by the colliding particle is 100% when its mass is equal to the

• A. the mass of the stationary particle
• B. twice the mass of the stationary particle
• C. half the mass of the stationary particle
• D. 1/4 times the mass of the stationary particle

Answer 1

The correct option is A the mass of the stationary particle

We know that during perfectly elastic collision the momentum and kinetic energy both are conserved .

Here it is given that 100% kinetic energy is trasferred . Therefore it is an perfectly elastic collision. Now we have

M1 V1 = M2 V2 ----------(1)

1/2 M1 (V1)^2 = 1/2 M2 (V2)^2----------(2)\

So by solving 1 and 2 we can conclude M1 = M2