In this problem label every force with two subscripts such as n, which means the force on object 1 from object 2. A 75 kg person on snow skis is coasting directly north on a level road and slowing down. Use the subscripts P (person), E (earth), and S (surface of the snow/earth) 1) Draw a free body diagram showing the following three forces acting on the person: i) Weight force: The gravitational force acting on the person by the earth, 15123 _,v ii) Normal force: The vertical upward force on the person by the surface of road, FPS. (This is a contact force in the vertical direction as indicated by the superscript V.) iii) Frictional force: The horizontal force on the person by the surface of snow, E: (This is also a contact force, but in the horizontal direction as indicated by the subscript H.) 2) What is the magnitude of the net force in the vertical direction acting on the person? (Hint: Is the person accelerating in the vertical direction?) 3) What is the magnitude of the weight of the person? 4) What is the magnitude of the normal force on the person? (Hint: use Newton's 2nd law in the vertical direction.) 5) If the frictional force on the person has a magnitude of 8.4 N, what is the magnitude of the acceleration of the person? (Hint: Use Newton's 2nd law in the horizontal direction.) 6) What is the direction of the acceleration of the person? 7) What is the direction of the net force on the person? 8) Are there any circumstances in which the net force on an object is not in the same direction as the acceleration of the object? 9) What information does the direction and magnitude of the net force acting on an object tell you about the direction and magnitude of the velocity of the object? 10) How does the magnitude of F: (the horizontal force on the person from the surface of the snow) compare with the magnitude of F15: (the horizontal force on the surface of the snow from the person)? 11) Considering that the snow is attached to the earth and part of the earth, what is the magnitude of the net horizontal force acting on the earth/ snow due to the person? 12) If the earth has a mass of 6 X 1024 kg, what is the acceleration of the earth in the horizontal direction? 13)Explain how the force of the snow/earth on the person can have the same magnitude as the force of the person on the snow/earth but the acceleration of the person and the earth are not the same