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A block of mass 70 kg is kept on a rough horizontal surface ( $μ$ = 0.4).A person is trying to pull the block by applying a horizontal force , but the block is not moving. The net contact force exerted by the surface on the block is F, then:

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F = 700 N

F = 280 N

$700 N \leq F \leq 754 N$

F = 754 N

answer is C.

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Detailed Solution

N = 70 g = 700N,

$F_{1} = μN = 0.4 \times 700 = 280 N$

Contact force: F = $\sqrt{N^{2} + f^{2}}$

So $N \leq F \leq \sqrt{N^{2} + {f_{l}}^{2}}$

$700 \leq F \leq \sqrt{700^{2} + 280^{2}} \Rightarrow 700 \leq F \leq 754$

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