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J & K CET Engineering J and K - CET Engineering Solved Paper-2012

  • question_answer
    A cheetah, weighing \[150\text{ }kg,\] chases a deer, weighing \[30\text{ }kg,\] in a straight path. The speed of the cheetah is \[20\text{ }m/s\]and that of the deer is\[25\text{ }m/s\]. The approximate speed of the centre of mass of the pair is

    A)  \[21\text{ }m/s\]

    B)  \[24\text{ }m/s\]

    C)  \[26\text{ }m/s\]

    D)  zero

    Correct Answer: A

    Solution :

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


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