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NEET Sample Paper NEET Sample Test Paper-18

  • question_answer
    A block of mass 4 kg is placed on a rough horizontal plane. A time dependent force \[F=k{{t}^{2}}\]acts on the block, where \[k=2\text{ }N/{{s}^{2}}.\]Coefficient of friction\[\mu =0.8.\] Force of friction between the block and the plane at t = 2 s is

    A)  32 N               

    B)  4 N

    C)  2 N                            

    D)  8 N

    Correct Answer: D

    Solution :

    Maximum force of friction, \[{{f}_{\max }}=\mu \,mg=0.8\times 4\times 10\]\[\times \,32\,N\]and applied force at  \[t=2\,s\]is \[F=k{{t}^{2}}=2{{(2)}^{2}}=8N\] The body fails to move. Hence the force of friction at t = 2 s is equal to applied force = 8 N. Hence, the correction option is [d].


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