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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

  1. A10 ~ms ⁻¹
  2. B5 ~ms ⁻¹
  3. C(5 / 2 ) ms ⁻¹
  4. 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

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