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  4. A cheetah, weighing 150 kg, chases a deer, weighing 30 kg, in a straight path. The speed of the cheetah is 20 m / s and that of the deer is 25 m / s. The approximate speed of the centre of mass of the pair is

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Q. A cheetah, weighing $150 \,kg$, chases a deer, weighing $30 \, kg$, in a straight path. The speed of the cheetah is $20 \,m / s$ and that of the deer is $25 m / s$. The approximate speed of the centre of mass of the pair is

J & K CETJ & K CET 2012System of Particles and Rotational Motion

Solution:

Velocity of the centre of mass
$v_{C M}=\frac{m_{1} v_{1}+m_{2} v_{2}}{m_{1}+m_{2}}$
$=\frac{(150 \times 20)+(30 \times 25)}{150+30}$
$=\frac{3750}{180}=21\, m / s$