The coefficient of kinetic friction between the two materials is approximately 0.1314.
Step-by-step explanation:
To find the coefficient of kinetic friction (μk) between the two materials, we need to know two things: the force required to move the object, which is the force of static friction and is provided as 14 Newtons, and the normal force exerted by the object. The coefficient of static friction (μs) can be calculated from the force required to move the object at rest, and the μk can then be found using the provided relationship between μs and μk.
The normal force equals the weight of the object (5.0 kg × 9.8 m/s²), which is 49 N. To find μs, we use μs = fs(max)/N. Therefore, μs = 14 N / 49 N = 0.2857. According to the question, the μk is 0.46 times the μs, so μk = 0.46 × 0.2857 ≈ 0.1314.