You push horizontally on a box weighing 150N that is initially resting on a hori

Question

You push horizontally on a box weighing 150N that is initially resting on a horizontal table. The coefficient of static friction between the box and the table is 0.75, and the coefficient of kinetic friction is 0.40. Which of the following statements is false?

a.) If you push horizontally with 100N of force, the force of friction is 100N.

b.) If you push horizontally with 110N of force, the force of friction is 110N.

c.) If you push horizontally with 120N of force, the force of friction is 60N.

d.) If you push horizontally with 240N of force, the force of friction is 60N.

e.) If you push horizontally with 480N of force, the force of friction is 30N.

I know it's e but please explain.

Explanation / Answer

Here, If you push horizontally with 480N of force ,

=>   static friction = 0.75 * 150 = 112.5 N

=> applied force > static friction

=>   block is moving

=>   the force of friction is   = 0.40 * 150 = 60 N

=>    option (e) is false .

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