MHT CET 2023 Physics question

PhysicsSystems of Particles and Rotational MotionMHT CET 2023

A particle of mass 'm' moving east ward with a speed 'v' collides with another particle of same mass moving north-ward with same speed 'v'. The two particles coalesce after collision. The new particle of mass '2m' will move in north east direction with a speed (in )

Answer: (D)

Solution

Linear momentum is conserved in the collision. Initial momentum: towards east and towards north (perpendicular), so the resultant magnitude is , directed towards the north-east. After coalescence the mass is : , so $v'

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Question ID VK-097403