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JEE Main & Advanced Physics NLM, Friction, Circular Motion Question Bank Second Law of Motion

  • question_answer
    The linear momentum p of a body moving in one dimension varies with time according to the equation \[p=a+b{{t}^{2}}\], where a and b are positive constants. The net force acting on the body is                             [MP PMT 1993]

    A)             Proportional to \[{{t}^{2}}\]

    B)             A constant

    C)             Proportional to t

    D)             Inversely proportional to t

    Correct Answer: C

    Solution :

                    \[\vec{F}=\frac{d\vec{p}}{dt}\]= \[\frac{d}{dt}(a+b{{t}^{2}})=2bt\] i.e. \[F\propto t\]


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