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MGIMS WARDHA MGIMS WARDHA Solved Paper-2015

  • question_answer
    A body of mass 5 kg moves on a straight path as a function of time\[x\text{ }={{t}^{3}}-121\]. The force on the body at\[t=5s\]will be

    A)  100 N                   

    B)  150 N  

    C)  120 N                   

    D)  130 N

    Correct Answer: B

    Solution :

                    Given, \[x={{t}^{3}}-12t\] So             \[v=\frac{dx}{dt}=3{{t}^{2}}-12\] and             \[a=\frac{dv}{dt}=6t\] Also            \[F=ma=5\times 6t\] So, force acting for 5 s will be                 \[F=5\times 6\times 5=150N\]


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