JEE Main & Advanced Sample Paper JEE Main Sample Paper-9

  • 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) \[u\frac{\Delta m}{\Delta t}\]

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

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

    Correct Answer: A

    Solution :

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


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