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Physics 8A Spring 2008 Final Exam 1. (1 pt) Write your D/L section number on your exam. 2. (14 pts) A car is traveling along a road at 15.0 m/s when it passes a second car that is at rest. At a point in time when the first car is 20.0 m in front of the second, the driver of the second car puts his foot on the accelerator, causing his car to speed up at a rate of 1.50 m/s. (2) How long will it take him to pass the first car? (b) How fast will he be traveling as he passes the first car? (c) How far will he have traveled up to that point? 3. (40 pts) A block of mass 3.0 kg is being pushed against a wall with a horizontal force of 170 N. The coefficient of static friction between the wall and the block is 0.25; the kinetic friction coefficient is 0.10. (a) Will the block slide l7oN down the wall? (b) What minimum force must be exerted upward on the block to get it started moving up the wall? (c) If this force is continually applied, what will be the acceleration of the block once it starts moving up the wall? 4. (10 pts) A uniform rod is free to pivot about one end in a vertical plane. Initially, it is oriented vertically above the pivot point. It then starts to fall to one side. (a) When the rod reaches the horizontal position, what is its angular speed? (b) What is its angular ed) acceleration when it’s in the horizontal position? Note: The moment of inertia of a uniform rod is (1/12)ML? about the midpoint of the rod. enctie Lenel 5. (15 pts) A water tank is open at the top. The water surface is 35.0 m above the ground. A very narrow hose is attached to the side of the tank, 20.0 m above the ground, The hose runs all the way to the ground. However, the hose gets narrower as you go down, so that its diameter is one-half as large at the bottom as at the point where it’s joined to the tank. Water flows out of the tank through the hose, and exits into the open air at the ground. (a) Find the speed with which the water flows out of the hose at the ground. (b) Find the speed and pressure of the water as it’s flowing through the top of the hose (i.e., 20.0 m above the ground). 
