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Most Important Selected Qs for JEE AdvancedPhysicsCenter of Mass, Momentum and Collision

Two spheres of same radii but mass 2 kg and 4 kg are moving toward each other. They collide with restitution coefficient e =1 / 3 . During collision the spheres deform and again reform to their original shapes. Then

Options

  1. AMagnitude of impulse each sphere experienced during deformation is 8 3 Ns .
  2. BMagnitude of impulse during reformation is 4 3 Ns
  3. CLoss in kinetic energy of the system during deformation is 18 J .
  4. DLoss in kinetic energy of the system during entire collision process is 16 J .

Correct answer

D. Loss in kinetic energy of the system during entire collision process is 16 J .

Step-by-step solution

2 v₁=4 v₂ v₁=2 v₂, v₁ and v₂ are velocities of A and B along the line of impact after collision 1 3 (4 3 2 +2 3 2 )=v₁+v₂ v₂= 1 3 ~m / s and v₁= 2 3 ~m / s , Magnitude of impulse during deformation =4 3 N S , Magnitude of impulse during reformation = 4 3 N . S , Loss in K . E = 1 2 4 3 (3 3 )^2 (1-e^2 ), 3 3 ~m / s is v_ red along line of impact =16 ~T .

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