A cardboard carton weighing 165 newtons is resting on a marble floor. If the coefficient of friction between cardboard and smooth marble is 0.20, how much force would it take to keep the box sliding along at a constant speed?

165 * .2 = 33 N

To determine the force required to keep the cardboard carton sliding along at a constant speed, we need to consider the force of friction acting on the box.

The force of friction can be calculated using the formula:

Friction force = coefficient of friction × normal force

The normal force in this case is the weight of the carton, which is equal to 165 newtons.

Let's calculate the friction force:

Friction force = 0.20 × 165
Friction force = 33 newtons

Therefore, it would take an additional force of 33 newtons to keep the box sliding along at a constant speed.