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← IIT-JEE 2009 · Paper 2
PhysicsInteger+4 / -1Question 53 of 57

IIT-JEE 2009 · Paper 2, Physics question 53

Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. These have masses mm, 2m2m and mm, respectively. The object A moves towards B with a speed 9 m/s 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 m/s) of the object C.

Three blocks in a line on a horizontal surface: A (mass m), B (mass 2m) and C (mass m), from left to right.
Answer and worked solution

Official answer: 4

Elastic collision A-B. vB=2mAmA+mBu=2m3m(9)=6v_B=\dfrac{2m_A}{m_A+m_B}u=\dfrac{2m}{3m}(9)=6 m/s.

Inelastic collision B-C. 2m(6)=3mv2m(6)=3mv, so v=4v=4 m/s.

Answer: 4