Final answer:
The force of kinetic friction that needs to be overcome to slide the dresser is calculated using the formula = µk * N, which in this case is 111.2 N.
Step-by-step explanation:
The force of kinetic friction that movers must overcome when sliding the dresser across the wooden floor is calculated by multiplying the coefficient of kinetic friction by the normal force. The normal force in this case is equal to the weight of the dresser since it is on a horizontal surface and there are no other vertical forces acting on the dresser.
The formula to find the force of kinetic friction = µk * N, where µk is the coefficient of kinetic friction and N is the normal force.
Using the given values: µk = 0.200 and N (normal force, which equals the weight of the dresser) = 556 N, we can calculate the force of kinetic friction as = (0.200) * (556 N) = 111.2 N. Therefore, movers must overcome a force of 111.2 N to slide the dresser across the floor.