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Q.

Two objects of masses 200g and 500g have velocities of 10i m/s and (3i + 5 j)m/ s respectively. The velocity of their centre of mass is

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a

5i - 25 j

b

$\frac{5}{7} i - 25 j$

c

$5 i + \frac{25}{7} j$

d

$25 i - \frac{5}{7} j$

answer is C.

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Detailed Solution

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${\vec{v}}_{cm} = \frac{m_{1} {\vec{v}}_{1} + m_{2} {\vec{v}}_{2}}{m_{1} + m_{2}}$

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