Question

A box full of books rests on a wooden floor. The normal force the floor exerts on the box is 234.0 N. (a) You push horizontally on the box with a force of 123.0 N, but it refuses to budge. What can you say about the coefficient of static friction between the box and the floor?

Answer 1

µ>=0.526.

Step-by-step explanation:

The friction force is opposite to the horizontal force applied and is given by:

`F_k=\µ*Fn`

The force applied horizontally need to be bigger so the box can be moved, but in this case, the force friction is bigger so:

`F<=\µF_k\\\µ>=(F)/(F_k)\\\\\µ=(123.0)/(234.0)\\\\\µ>=0.526`

So the coefficient of static friction is bigger or equal to 0.526.