A student of height h jumps vertically up from the "squat" position. At the top point of the jump, the student's center of mass is at a height 3 ~h / 4 from the ground. Find the average force F acting on the floor prior to the moment when the student loses contact with the floor. It is known that when the student stands on the floor, the center of mass is at a height h / 2 from the floor; in the "squat" position, the

Step-by-step solution

Method 1: Even though the normal force with the floor does no physical work on the person (energy transfers occur internally from the muscles), one can write a mathematically correct expression as though the contact force with the floor does change the person's energy. Hence, we can treat the center of mass motion as W net = Kcm . Here, we are treating it as though only gravity and the floor act onthe person, and since the person is in contact with the floor until the center of mass is a position h / 2 from the gro