A 100 N box is initially at rest on a rough horizontal surface. The µS is 0.6 an

Question

A 100 N box is initially at rest on a rough horizontal surface. The µS is 0.6 and the µK is 0.4. A constant 35 N horizontal force is applied to the right. Four English majors are discussing the frictional force exerted on the box by the rough surface 1 second after the force is first applied. With which, if any, do you agree?


Al: "The frictional force is 60 N since the box will not be moving and the µS is 0.6 with a normal force of 100 N."

Brianna: "The frictional force is 40 N since the µK is 0.4 and there is a normal force of 100 N."

Carlos: "The frictional force is 35 N since the box will not be moving and the frictional force will cancel out the applied force of 35 N."

David: "It is 40 N for the kinetic frictional force and 60 N for the static frictional force. The normal force is 100 N and the µK is 0.4 giving 40 N for the kinetic friction. Similarly, the static frictional force is 60 N since it has a µS of 0.6."

None of them. They should all enroll in Physics!

Explanation / Answer

Carlos: "The frictional force is 35 N since the box will not be moving and the frictional force will cancel out the applied force of 35 N." He's basically correct. If the force was bigger it would move backwards

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