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AP EAMCET202315 May 2023Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

Two particles of masses 5 ~g and 3 ~g are separated by a distance of 40 ~cm . The centre of mass of the system of these two particles

Options

  1. Alies at a distance of 15 ~cm from 5 ~g particle
  2. Blies at a distance of 25 ~cm from 5 ~g particle
  3. Clies at a distance of 10 ~cm from 3 ~g particle
  4. Dlies at the mid point of the line joining the two particles

Correct answer

B. lies at a distance of 25 ~cm from 5 ~g particle

Step-by-step solution

Suppose centre of mass is x cm away from 3 ~g and assuming that 3 ~g is at x =0 aligned & x_ c m = m₁ x₁+m₂ x₂ m₁+m₂ & = 5 40+3 0 5+3 = 5 40 8 & =25 ~cm aligned The centre of mass of the system of these two particles lies at a distance 25 ~cm from 5 ~g particle.

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