J & K CET Medical J & K - CET Medical Solved Paper-2012

  • question_answer
    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

    A)  21 m/s

    B)  24 m/s

    C)  26 m/s

    D)  zero

    Correct Answer: A

    Solution :

     Velocity of the centre of mass \[{{v}_{CM}}=\frac{{{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}}{{{m}_{1}}+{{m}_{2}}}\] \[=\frac{(150\times 20)+(30\times 25)}{150+30}\] \[=\frac{3750}{180}\] \[=21\,m/s\]


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