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Question

A block is placed on a rough horizontal plane. A time dependent horizontal force F = Kt acts on the block. Here, K is positive constant. Acceleration - time graph of the block is

A
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B
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C
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Solution

The correct option is C
Block starts sliding over the surface when, F = max force of friction
or Kt=μmg
or t=μmgK
For t>μmgK
net acceleration of block is,
a=Fμmgm=Ktmμg
Which is a straight line with positive slope and negative
intercept. So, for tμmgK, acceleration of the particle is zero and for t>μmgK, acceleration is a=Ktmμg
Hence, the correct answer is option (c)

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