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Two blocks of mass 5 kg are connected at the two ends of an ideal massless spring. The spring constant of the spring is 10 N/m and the system is at rest on a smooth frictionless surface. Another block of mass 5 kg is moving with a velocity 2 m/s. It strikes with one of the block connected to the spring. If the collision is pure elastic and head-on, the maximum compression in the spring will be
  • a)
    1 m
  • b)
    1.5 m
  • c)
    3 m
  • d)
    4.8 m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two blocks of mass 5 kg are connected at the two ends of an ideal mass...
As the collision between the block A and block B is perfectly elastic and masses are same, velocities will be interchanged.
The velocity of the block B will be 2 m/s.
At the maximum compression, both blocks B and C will move with same velocity.
Using conservation of momentum

Using conservation of energy,
Kinetic energy of blocks (B + C) + Elastic potential energy of the spring = Initial kinetic energy of the block B

This is our required solution.
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Two blocks of mass 5 kg are connected at the two ends of an ideal massless spring. The spring constant of the spring is 10 N/m and the system is at rest on a smooth frictionless surface. Another block of mass 5 kg is moving with a velocity 2 m/s. It strikes with one of the block connected to the spring. If the collision is pure elastic and head-on, the maximum compression in the spring will bea)1 mb)1.5 mc)3 md)4.8 mCorrect answer is option 'A'. Can you explain this answer?
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