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A block A of mass 4 kg is kept on ground. The coefficient of friction between the block and the ground is 0.8. An external force of magnitude 30 N is applied parallel to the ground. The resultant force exerted by the ground on the block is 10P newton. The value of P is______ (use $g = 10 m / s^{2}$ )

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answer is 5.

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Detailed Solution

N = mg = 40 N

$μ N = 32 N$

Applied for F = 30 N $< μ N$

Therefore, friction force,

$∴$ Net contact force for ground on block $= \sqrt{N^{2} + f^{2}} = 50 N$

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