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AP EAMCET202316 May 2023Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

Two particles of masses 1 ~g and 2 ~g move towards each other with velocities 10 ~ms ⁻¹ and 20 ~ms ⁻¹ respectively. The velocity of the centre of mass of the system of the two particles is

Options

  1. A5 ~ms ⁻¹
  2. B10 ~ms ⁻¹
  3. C15 ~ms ⁻¹
  4. D20 ~ms ⁻¹

Correct answer

B. 10 ~ms ⁻¹

Step-by-step solution

Masses, m ₁=1 ~g ; m ₂=2 ~g Velocity, v ₁=10 ~m / s ; v ₂ 20 ~m / s The velocity of the centre of mass aligned & V_ c m = m₁ v₁+m₂ v₂ m₁+m₂ & = -1 10+2 20 1+2 = 30 3 =10 ~m / s aligned

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