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NEET UG PHYSICS MCQ: SYSTEM OF PARTICLES

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Two bodies of mass 10 kg and 2 kg are moving with velocities (2i^−7j^+3k^) m/s\left( {2\hat i - 7\hat j + 3\hat k} \right)\,m/s and (−10i^+35j^−3k^) m/s\left( { - 10\hat i + 35\hat j - 3\hat k} \right)\,m/s respectively. The velocity of their centre of mass is
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Correct option: B
2k^ m/s2\hat k{\mkern 1mu} m/s
Option B (2k^ m/s2\hat k{\mkern 1mu} m/s) is correct because the velocity of the center of mass is calculated using the formula vcm=(m1v1+m2v2)/(m1+m2)v_{cm} = (m_1v_1 + m_2v_2) / (m_1 + m_2).

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