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Manipal MET2021PhysicsCenter of Mass, Momentum and Collision

A particle is moving in a circular path with a constant speed v . If is the angular displacement. Then starting from =0 , the maximum and minimum changes in the momentum will occur, when value of is respectively:

Options

  1. A45^ and 90^
  2. B90^ and 180^
  3. C180^ and 360^
  4. D90^ and 270^

Correct answer

C. 180^ and 360^

Step-by-step solution

When =180^ , the particle will be at diametrically opposite point. Where its velocity is opposite to the direction of motion. The change in momentum =m v-(-m v)+2 m v (maximum). When =360^ , the particle is at the initial position with momentum m v change in momentum =m v-m v=0 (minimum).

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