MHT CET20226 Aug 2022Morning ShiftPhysicsCenter of Mass, Momentum and CollisionActual
A ball of mass m moving with speed v collides elastically with an identical stationary ball which is initially at rest. After collision the first ball moves at an angle to its initial direction and has speed ( v 3 ) . The second ball moves in a straight line after the collision. Then speed of the second ball after collision is
Options
- A2 3 v
- B2 2 3 v
- C4 3 v
- D3 2 v
Correct answer
B. 2 2 3 v
Step-by-step solution
For elastic collision: Using energy conservation, 1 2 m₁ v₁^2+ 1 2 m₂ v₂^2= 1 2 m₁ v₁^ 2 + 1 2 m₂ v₂^ 2 Here, 1 2 m v^2+0= 1 2 m(v / 3)^2+ 1 2 m v₂^ 2 Or v₂^ 2 = 8 9 v^2 Or v₂^ = 2 2 3 v