C1401, Fall 2015, Professor Hailey Do all problems in the blue book. Make sure your name and hand writing are legible. The point totals for each problem are indicated. You must show all of your work if you want partial credit. Calculators are allowed. There is an equation sheet attached. Good luck! Problem 1 (40) A ball is tossed straight up in the air at v = 100 m/s and then fall straight back down into a hole located a depth h = 1500 m below the release point. a) How long does it take the ball to reach its maximum height? Find an algebraic answer. b) What is the maximum height the ball attains? Find an algebraic answer. c) What is the total length of time the ball is in the air (from release to hitting the ground)? Find an algebraic and numeric answer. 1500m Problem 2 (40) A block of mass m = 1 kg is acted on by vertical force F1 = 10 N. The coefficient of static friction is us = 0.25 and the coefficient of kinetic friction uk = 0.20 between the block and the ground. F m ) What is the minimum force Fa necessary to get the block just moving? Find an algebraic answer in terms of the givens of the problem and also find a numeric answer. b) A force F2= 6 N is applied to the block. How fast will the block be moving after it has traversed 1 meter distance? Find an algebraic answer in terms of the givens, and a numeric answer.Problem 3 (40) A pair of blocks each of mass m = 1 kg is connected by a string. A string attached to the first block is pulled with a force of magnitude F = 10 N applied at an angle of 30 degrees as shown. The coefficient of kinetic friction between blocks and ground is uk = 0.2 and you may assume the blocks are in motion. F m . M ...)30' a) Find an algebraic expression for the acceleration of the blocks in terms of the givens of the problem. b) Find an algebraic answer for the tension T in the string between the 2 blocks in terms of the givens, and evaluate T numerically. Problem 4 (40) A block of mass m moves at speed v over a frictionless surface and compresses a spring initially at its relaxed, unstretched position. The ground under the spring presents a coefficient of kinetic friction & to the block. The spring obeys Hooke's law and has a spring constant k. The block comes to rest after the spring is compressed through some distance Xm. frictionless Find an algebraic expression for Xm in terms of v, k, m, k . Problem 5 (20) In gym class you pull yourself up a rope with an acceleration a = 2 m/s?. If your weight is 100 kg, then what force did you apply to the rope to obtain this acceleration. Give a numeric answer. Problem 6 (20) A person of mass 50 kg is standing on the moon (g = 1.6 m/s'). The person runs at a constant speed of v = 2.8 m/s, around a loop-de-loop of radius R = 4 m? What is their apparent weight at the top and bottom of the loop? Give an algebraic and numeric answer. Will the person be able to run over the top of the loop without falling off or not