Final answer:
The question asks for the calculation of the coefficient of kinetic friction for a skier on a slope. This requires an understanding of the forces at play, including gravity, normal force, and friction force. The coefficient can be found by dividing the force of friction by the normal force.
Step-by-step explanation:
The subject of the question involves calculating the coefficient of kinetic friction for a skier sliding down a snowy slope. To calculate this, we need to understand the concept of forces acting on the skier, which include the gravitational force, the normal force, and the force of friction. Given that the force of friction is 45.0 N, we can determine the coefficient of kinetic friction by dividing this by the normal force, which is equal to the component of the skier's weight perpendicular to the slope.
The weight of the skier is given by multiplying their mass by the acceleration due to gravity. This weight has two components: one perpendicular to the slope (the normal force) and one parallel to the slope (the force causing acceleration). The normal force is calculated by taking the weight and multiplying it by the cosine of the angle of the incline. Once we have the normal force, we can find the coefficient of kinetic friction by dividing the force of friction by the normal force.