A constant horizontal force on a 200 N is applied to a box in contact with a ver

Question

A constant horizontal force on a 200 N is applied to a box in contact with a vertical surface. The coefficient of static friction between the box and the surface is 0.6, and the coefficient of kinetic friction is 0.4. Several students are discussing the frictional force on the box 1 second after the force is first applied: Art: "The frictional force is 60 N since the box will not be moving and the coefficient of static friction is 0.6." Bratislav: "The frictional force is 100 N upward since the box has a weight of 100 N downward." Celeste: "The frictional force will be 120 N since the box will not be moving and the normal force will be 200 N." Dorothy: "The frictional force will be 40 N for the kinetic frictional force and 60 N for the static frictional force. The weight is 100 N and the coefficient of kinetic friction is 0.4, giving 40 N for the kinetic friction. Likewise, for the static frictional force it has a coefficient of static friction of 0.6, giving static frictional force of 60 N." With which, if any, of these students do you agree? Art _____ Bratislav _____ Celeste _____ Dorothy _____ None of them _____ Explain your reasoning.

Explanation / Answer

Frictional force acts vertically upward and gravitational force on the box acts vertically downward.

As there is no movement of the box,these two forces are equal.

Thus Frictional force is Ff = mg = 100N .

So only statement of Bratislav is correct for the system.

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