COMEDK · Physics · 7. Center of Mass Momentum and Collision
In the diagram shown below, \(m_1\) and \(m_2\) are the masses of two particles and \(x_1\) and \(x_2\) are their respective distances from the origin \(O\).
The centre of mass of the system is
- A \(\frac{m_1 x_2+m_2 x_2}{m_1+m_2}\)
- B \(\frac{m_1+m_2}{2}\)
- C \(\frac{m_1 x_1+m_2 x_2}{m_1+m_2}\)
- D \(\frac{m_1 m_2+x_1 x_2}{m_1+m_2}\)
Answer & Solution
Correct Answer
(C) \(\frac{m_1 x_1+m_2 x_2}{m_1+m_2}\)
Step-by-step Solution
Detailed explanation
The centre of mass of the system is given by \(x=\frac{m_1 x_1+m_2 x_2}{m_1+m_2}\)
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