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JEE Advanced2009PhysicsCenter of Mass, Momentum and CollisionActual

Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. These have masses m, 2 m 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 completely inelastic collision with C . All motions occur on the same straight line. Find the final speed (in ms ⁻¹ ) of the object C .

Correct answer

4

Step-by-step solution

After elastic collision, aligned v_A^ & = ( m-2 m m+2 m )(9)+ 2(2 m) m+2 m (0) & =-3 ~ms ⁻¹ aligned Now from conservation of linear momentum after all collisions are complete, array rlrl m (+9 ~ms ⁻¹ ) & =m (-3 ~ms ⁻¹ )+3 m (v_C ) & or v_C & =4 ~ms ⁻¹ array

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