Final answer:
The coefficient of kinetic friction between the skis and the snow is 0.138.
Step-by-step explanation:
To find the coefficient of kinetic friction between the skis and the snow, we can use the work-energy principle. The work done by the friction force is equal to the change in kinetic energy of the skier. Therefore, we can calculate the work done by the friction force using the formula:
Work = force x distance
Since the only force acting on the skier is the friction force, we have:
Work = friction force x distance
Using the given information, we can substitute the values into the equation and solve for the coefficient of kinetic friction:
45 N x 180 m = coefficient of kinetic friction x (62 kg x 9.8 m/s^2 x 180 m)
Cross multiplying and solving for the coefficient of kinetic friction, we find:
μ = (45 N x 180 m) / (62 kg x 9.8 m/s^2 x 180 m)
μ = 0.138