JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. These have masses m, 2m and m, respectively. The object A moves towards B with a speed 9 ms⁻¹ and makes an elastic collision with it. Thereafter, B makes a completely inelastic collision with C. All motions occur on the same straight line. Find the final speed (in ms⁻¹) of the object C. [JEE Main 2009]

Answer: 4

Solution

For an elastic collision between A (mass m, speed 9) and B (mass 2m, at rest), using standard elastic collision formulas: velocity of A after collision = [(m−2m)/(m+2m)]×9 = −3 m/s (rebounds), velocity of B after collision =

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Question ID VK-154211