$A$ horizontal force $12 \, N$ pushes a block weighing $1/2 \, kg$ against a vertical wall. The coefficient of static friction between the wall and the block is $0.5$ and the coefficient of kinetic friction is $0.35$. Assuming that the block is not moving initially,which one of the following choices is correct? (Take $g = 10 \, m/s^2$)

  • A
    Block moves vertically downwards
  • B
    Block moves vertically upwards
  • C
    Block will not move and force exerted on the block by the wall is $12 \, N$
  • D
    Block will not move and force exerted on the block by the wall is $13 \, N$

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