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A man of mass 50 kg is pulling on a plan...

A man of mass 50 kg is pulling on a plank of mass 100 kg kept on a smooth floor as shown with force of 100 N. If both man & plank move together, the force of friction acting on man is `(100)/(x)`N. What is x ?

Text Solution

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The correct Answer is:
3 N
If the blocks are not sliding w.r.t each other than they can be considered one system
`F - f = 3a` maximum value of a = 0
`F - 0.1 xx 3kg xx10ms^(-2)=0`
F = 3N
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Knowledge Check

  • A man of mass 50 kg is pulling on a plank of mass 100 kg kept on a smooth floor as shown with force of 100 N. If both man & plank move together, find force of friction acting on man.

    A
    `(100)/(3)` N towards left
    B
    `(100)/(3)` N towards right
    C
    `(250)/(3)` N towards left
    D
    `(250)/(3)` N towards right

  • A plank of mass 10 kg and a block of mass 2 kg are placed on a horizontal plane as shown in the figure. There is no friction between plane and plank. The coefficient of friction between block and plank is 0.5 .A force of 60 N is applied on plank horizontally. In first 2 s the work done by friction on the block is

    A
    `-100 J`
    B
    100 J
    C
    zero
    D
    200 J

  • A bolck of mass m =2 kg is placed on a plank of mass M = 10 kg, which is placed on a smooth horizontal plane as shown in the figure. The coefficient of friction between the block and the plank is mu=(1)/(3) . If a horizontal force F is applied on the plank, then the maximum value of F for which the block and the plank move together is (g=10m//s^(2))

    A
    50 N
    B
    40 N
    C
    120 N
    D
    100 N

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