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Concepts Of Physics MCQ Edition [Volume 1]PhysicsRest and Motion Kinematics

Six particles positioned at the corners of a regular hexagon of side a travel at a constant speed v . Each particle continually maintains a direction towards the particle at the next corner. Determine the time it will take for the particles to meet each other.

Options

  1. A2a 3v
  2. B3a 2v
  3. C2a v
  4. Da v

Correct answer

C. 2a v

Step-by-step solution

The particles are located at the vertices of a regular hexagon. The velocity of each particle is directed towards the adjacent particle. The angle between the line joining two adjacent particles and the velocity of the second particle is the exterior angle of the regular hexagon, which is 60^ . The relative velocity of approach between any two adjacent particles is: v_ app = v - v (60^ ) = v - v 2 = v 2 The initial distance between the adjacent particles is a . The time taken for the particles to meet is the ratio

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