Question

what is the frictional force of a box if A student is pushing a 80kg box across a floor by applying a 503N force to the right. The coefficient of static friction between the box and the floor is 0.6 and the coefficient of kinetic friction is 0.50

Answer 1

The force required to move the box is

$$f_s=mg\mu_s=518.4\text{ N}.$$

The box will not move because the applied force is smaller than the force of static friction.