JEE Main & Advanced Physics NLM, Friction, Circular Motion Sample Paper Topic Test - Newton's Laws Of Motion

  • question_answer
    A truck moving on a smooth horizontal surface with a uniform speed u is carrying dust. If a mass \[\Delta m\] of the dust leaks from the truck in vertical downward direction in time \[\Delta t,\] the force needed to keep the truck moving at its constant speed is

    A) Zero

    B) \[\frac{u\,\Delta m}{\Delta t}\]

    C) \[\Delta m\times \frac{du}{dt}\]

    D)  \[u\frac{\Delta m}{\Delta t}+\Delta m\times \frac{du}{dt}\]

    Correct Answer: A

    Solution :

    [a] The force exerted on the truck due to leaking of dust is in \[\frac{\Delta m}{\Delta t}\] vertical upward direction. Since, there is no friction, no horizontal force acts on the truck, hence no forcer is required to keep its uniform motion intact.


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