The coefficients of static and kinetic friction between the paper used in a cardboard box and a particular wooden floor are 0.5 and 0.3, respectively. Calculate the force that must be applied to slide a box with a weight of 40 N over the floor at a constant speed.(1 point)

Question

Responses

40 N
40 N

32 N
32 N

12 N
12 N

20 N

Answer 1

To determine the force required to slide the box at a constant speed, we need to consider the force of kinetic friction, since the box is already in motion.

The force of kinetic friction (\(F_k\)) can be calculated using the formula:

\[ F_k = \mu_k \cdot N \]

where:

• \(\mu_k\) is the coefficient of kinetic friction (0.3 for wood and paper in this case).
• \(N\) is the normal force, which is equal to the weight of the box if the box is on a horizontal surface.

Given that the weight of the box is \(40 , \text{N}\), we can substitute the values into the equation:

\[ F_k = 0.3 \cdot 40 , \text{N} = 12 , \text{N} \]

Thus, the force that must be applied to slide the box over the floor at a constant speed is 12 N.

So, the correct response is:

12 N