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WBJEE · Physics · Center of Mass Momentum and Collision

Two bodies of masses \(m_{1}\) and \(m_{2}\) are separated by a distance \(R\). The distance of the centre of mass of the bodies from the mass \(m_{1}\) is

  1. A \(\frac{m_{2} R}{m_{1}+m_{2}}\)
  2. B \(\frac{m_{1} R}{m_{1}+m_{2}}\)
  3. C \(\frac{m_{1} m_{2}}{m_{1}+m_{2}} R\)
  4. D \(\frac{m_{1}+m_{2}}{m_{1}} R\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{m_{2} R}{m_{1}+m_{2}}\)

Step-by-step Solution

Detailed explanation

The bodies are separated by a distance \(R\). so the coordinates of \(m_{1}\) and \(m_{2}\) will be (0,0) and \((R, 0)\) From the formula of centre of mass,…