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JEE Main20253 Apr 2025Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

Consider two blocks A and B of masses m₁=10 ~kg and m₂=5 ~kg that are placed on a frictionless table. The block A moves with a constant speed v=3 ~m / s towards the block B kept at rest. A spring with spring constant k =3000 ~N / m is attached with the block B as shown in the figure. After the collision, suppose that the blocks A and B, along with the spring in constant compression state, move together, then the comp

Options

  1. A0.2 ~m
  2. B0.4 ~m
  3. C0.1 ~m
  4. D0.3 ~m

Correct answer

C. 0.1 ~m

Step-by-step solution

aligned & m ₁ v ₁+ m ₂ v ₂= ( m ₁+ m ₂ ) v _ cm & v _ cm 10 3 10+5 30 15 =2 ~m / s aligned 1 2 kx ^2= 1 2 (10)(3)^2- [ 1 2 (15)(2)^2 ] 90-60=30=3000 x^2 aligned & x ^2 30 3000 = 1 100 & x 1 10 ~m . aligned

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