A skier with a mass of m = 60 kg is gliding at a constant velocity down a hill that has a 20-degree incline with respect to the horizontal.
A. Draw a free body diagram illustrating all the forces on the skier.
B. What is the force of gravity on the skier (magnitude and direction)?
C. To analyze forces on an incline, it is useful to break all forces into components in the parallel (||) and perpendicular (⊥) directions. What are the parallel and perpendicular components of the gravitational force on the skier? (Calculate the values, and label these in your free body diagram).
D. In the direction parallel to the slope, do you expect that the skier is in mechanical equilibrium? Explain your reasoning, and state which of Newton's Laws helps you answer this question.
E. Based on your answers to (c) and (d), determine the magnitude of the frictional force on the skier.
F. In the direction perpendicular to the slope, do you expect that the skier is in mechanical equilibrium? Explain your reasoning, and state which of Newton's Laws helps you answer this question.
G. Based on your answers to (c) and (f), what is the magnitude of the normal force of the hill pushing on the skier?