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

  • question_answer
    A satellite in force-free space sweeps stationary interplanetary dust at a rate \[dM/dt=\alpha v\] where M is the mass, v is the velocity of the satellite and \[\alpha \] is a constant. What is the deacceleration of the satellite            [CBSE PMT 1994]

    A)                         \[-2\alpha {{v}^{2}}/M\]          

    B)                           \[-\alpha {{v}^{2}}/M\]            

    C)                         \[+\alpha {{v}^{2}}/M\]          

    D)                           \[-\alpha {{v}^{2}}\]

    Correct Answer: C

    Solution :

                                \[F=\frac{dp}{dt}=v\ \left( \frac{dM}{dt} \right)=\alpha \,{{v}^{2}}\]\\[a=\frac{F}{M}=\frac{\alpha \,{{v}^{2}}}{M}\]          


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