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AP EAMCET · PHYSICS · Center of Mass Momentum and Collision

A particle of mass \(10 \mathrm{~g}\) is moving towards east with a velocity of \(10 \mathrm{~ms}^{-1}\) and another particle of mass \(15 \mathrm{~g}\) is moving towards north with a velocity of \(5 \mathrm{~ms}^{-1}\). The magnitude of the velocity of the centre of mass of the system of the two particles is

  1. A \(5 \mathrm{~ms}^{-1}\)
  2. B \(10 \mathrm{~ms}^{-1}\)
  3. C \(15 \mathrm{~ms}^{-1}\)
  4. D \(7.5 \mathrm{~ms}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(5 \mathrm{~ms}^{-1}\)

Step-by-step Solution

Detailed explanation

Mass, \(\mathrm{m}_1=10 \mathrm{~g}=10 \times 10^{-3}=10^{-2} \mathrm{Kg}\) velocity, \(\mathrm{v}_1=10 \mathrm{~m} / \mathrm{s}\) Mass of 2nd particle, \(M_2=15 \mathrm{~g}=15 \times 10^{-3} \mathrm{Kg}\) Velocity of IInd particle, \(V_2=5 \mathrm{~m} / \mathrm{s}\) centre of…