JEE Main & Advanced Physics NLM, Friction, Circular Motion Question Bank Kinetic Friction

  • question_answer
    A 60 kg body is pushed with just enough force to start it moving across a floor and the same force continues to act afterwards. The coefficient of static friction and sliding friction are 0.5 and 0.4 respectively. The acceleration of the body is

    A)                         \[6\,m/{{s}^{2}}\]               

    B)                         \[4.9\,m/{{s}^{2}}\]            

    C)                         \[3.92\,m/{{s}^{2}}\]                    

    D)                         \[1\,m/{{s}^{2}}\]            

    Correct Answer: D

    Solution :

                                Limiting friction \[={{\mu }_{s}}R={{\mu }_{s}}mg=0.5\times 60\times 10=300\ N\] Kinetic friction \[={{\mu }_{k}}R={{\mu }_{k}}mg=0.4\times 60\times 10=240\ N\]             Force applied on the body = 300 N and if the body is moving then, Net accelerating force                                            =Applied force ? Kinetic friction              Þ \[ma=300-240=60\]         \[\therefore \] \[a=\frac{60}{60}=1\ m/{{s}^{2}}\]


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