BITSAT2009PhysicsCenter of Mass, Momentum and CollisionActual
A particle of mass 10 ~kg moving eastwards with a speed 5 ~ms ⁻¹ collides with another particle of the same mass moving north-wards with the same speed 5 ~ms ⁻¹ . The two particles coalesce on collision. The new particle of mass 20 ~kg will move in the north-east direction with velocity
Options
- A10 ~ms ⁻¹
- B5 ~ms ⁻¹
- C(5 / 2 ) ms ⁻¹
- Dnone of these
Correct answer
C. (5 / 2 ) ms ⁻¹
Step-by-step solution
Here i m v+ j m v=2 m V That is V = v 2 ( i + j ) Hence V= v 2 2 = v 2 [ . Here .v=5 ~ms ⁻¹ ] So, V= 5 2 ~ms ⁻¹