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Concepts Of Physics MCQ Edition [Volume 1]PhysicsSimple Harmonic Motion

As shown in the figure, the left block travels at a speed v towards the right block, which is placed in equilibrium. All collisions that occur are elastic and the surfaces are frictionless. Determine the time period of the periodic motions of the two blocks. Neglect the widths of the blocks.

Options

  1. A2 m k + L v
  2. Bm k + L v
  3. Cm k + 2L v
  4. D2 m k + 2L v

Correct answer

C. m k + 2L v

Step-by-step solution

Let the cycle begin when the left block moves from the left wall towards the right block with velocity v . The distance to the right block is L . The time taken by the left block to reach the right block is: t₁ = L v Since the collision is perfectly elastic and both blocks have the same mass m , they exchange their velocities upon impact. The left block comes to rest, and the right block acquires the velocity v towards the right. The right block then compresses the spring, comes to a momentary halt, and returns to

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