A student applies a 1.5 n horizontal force

A student applies a 1.5 N horizontal force on a box of weight 20N on a floor. The static friction coefficient is 0.3. Does the box move? Explain your reasoning and SHOW WORK! Thank you!

Answer

Horizontal force applied on the box is F=1.5,N Weight of box W=mg=20,N Normal force on the box is N=mg=20,N minimum frictional force necessary to move the box is F_f=mu N=0.3times 20=6,N F_f>F which is greater than the applied horizontal force.

So the box does not move.

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