Final answer:
To calculate the coefficient of kinetic friction for the skier, we need to consider the forces acting on the skier and use the formulas for friction force and normal force. By substituting the given values into the formulas, we can calculate the coefficient of kinetic friction for the skier.
Step-by-step explanation:
In this question, we are given that a skier leaves the ski track moving horizontally with a speed of 25 m/s. To analyze the motion of the skier, we need to consider the forces acting on the skier. Since the skier is moving horizontally, the only force acting on the skier in the horizontal direction is the force of friction. The coefficient of friction can be calculated using the formula:
friction force = coefficient of friction × normal force
where the normal force is equal to the weight of the skier, which can be calculated using the formula:
normal force = mass × acceleration due to gravity
By substituting the given values into the formulas, we can calculate the coefficient of kinetic friction for the skier.