All

Feeling crafty/lazy, Dr. L. (mass M) wants to get up the hill without any running involved. He compresses a spring (stiffness K) some distance Ax to start and then lets it go and launches himself towards a test ramp. At present the ground is frictionless. He is seen to have a velocity of VA at point A and continues up the hill till he stops at point B. v-0 Point B Ax L, HK VA Point A Hmax 1.)(2pts) In terms of M, VA, and K, what was the initial spring compression? 2) (2pts) How high up above the ground (Hmax) does Dr. L. go? Answer ONLY in terms of VA and g... ---He then slides back down the hill. Before he gets to the bottom, Kepler drops a strip of sand paper on the ground. The sandpaper is L in length and has a coefficient of kinetic friction HK. 3.) (3pts) As he goes back the spring is compressed to 1/2 of the initial compression distance. How long (L) is the sandpaper on the floor? Answer in terms of k, M, g, MK, and Ax only. 4.) (3pts) What minimum length would the sandpaper need to be in order for Dr. L. to come to a complete stop just as he reaches the end of it? Answer only in terms of VA, g, and HK