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NEET Sample Paper NEET Sample Test Paper-77

  • question_answer
    Sand is being dropped on a conveyer belt at the rate of M kg/s. The force necessary to keep the belt moving with a constant velocity of v m/s will be

    A)  \[\frac{Mv}{2}\]                                   

    B)  zero                 

    C)  2 Mv               

    D)  Mv

    Correct Answer: D

    Solution :

    \[F-\frac{d}{dt}(Mv)=v\frac{dM}{dt}+M\frac{dv}{dt}\] As v is a constant, \[F=v\frac{dM}{dt},\,\,\,But\,\,\frac{dM}{dt}=M\,\,kg/s\] \[\therefore \] To keep the conveyer belt moving force needed \[=\,\,\,vM\] newton.


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