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Olympiad workbookNSEPCenter of Mass, Momentum and Collision

Two small masses m and M lie on a large horizontal frictionless circular track of radius R . The two masses are free to slide on the track but constrained to move along a circle. Initially the two masses are tied by a thread with a compressed spring between them (spring of negligible length being attached with none of the two masses). The compressed spring stores a potential energy U ₀ . At a certain time t =0 the th

Options

  1. AThe angle turned by mass m before the collision is =4 3
  2. BThe velocity of mass m on the track is u= 4 U₀ 3 m
  3. CThe time taken to collide for the first time is t₁=2 R m 3 U₀
  4. DThe time taken for the second collision is t₂=2 R 2 m 3 U₀

Correct answer

C. The time taken to collide for the first time is t₁=2 R m 3 U₀

Step-by-step solution

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