PHYS 218 EXAM #1 FORM A February 13, 2007 1. (10 points) A high fountain of water is in the center of a circular pool of water. By walking around the edge you find the pool to have a circumference of 150 meters. Standing on the edge and sighting with a protractor you find the angle to the top of the fountain is 55 degrees. How high is the fountain? A. 17 m B. 23 m C. 20 m D. 34 m E. 37 m 2. (10 points) If the surface area of a sphere is increased by 16.0%, by what percentage has the radius been changed? A. 16% B. 8.1% C. 7.7% D. 12% E. 4.4% 1 PHYS 218 EXAM #1 FORM A February 13, 2007 3. (10 points) In the figure, an airport luggage carrying train with a tractor (T) is pulling three luggage carts, M 1 , M 2 , and M 3, with constant velocity of 4.5 m/s. If T = 300.0 kg, M 1 = 200.0 kg, M 2 = 100.0 kg, and M 3 = 100.0 kg and the coefficient of kinetic friction for each is 0.4000, then the force in the connection between the tractor (T) and cart M 1 is: A. 1176 N. B. 2744 N. C. 1568 N. D. 1960 N. E. 882 N. 4. (10 points) Find the mass of a planet, given that its radius is 3.39 x 10 6 m, and that the acceleration of gravity at the surface is 3.73 m/s 2 . A. 5.24 x10 22 kg B. 3.12 x10 23 kg C. 1.90 x10 17 kg D. 3.77 x10 16 kg E. 6.43 x10 23 kg 2 PHYS 218 EXAM #1 FORM A February 13, 2007 5. (10 points) A pitcher throws a 0.15 kg baseball, accelerating it from rest to a speed of 90.0 mph in a distance of 2.0 meters. Ignoring air resistance, the force exerted by the pitcher is: A. 75 N B. 300 N C. 82 N D. 60 N E. 400 N 6. (10 points) The graph show v x versus t for an object moving along a straight line. What is the acceleration at t = 11s? A. -10 m/s 2 B. 10 m/s 2 C. 22 m/s 2 D. -22 m/s 2 3 PHYS 218 EXAM #1 FORM A February 13, 2007 7. (10 points) A 2.0 kg ball is thrown vertically into the air with an initial velocity of 10.0 m/s. Ignoring air resistance, the height of the ball when the velocity is 5.0 m/s is: A. 0.10 m. B. 0.25 m. C. 4.3 m. D. 3.8 m. E. 1.8 m. 8. (10 points) An airplane flying horizontally at a speed of 50.0 m/s and an elevation of 160 m drops a package. Two seconds later it drops a second package. In the absence of air resistance, how far apart will the two packages land? A. 50 m B. 385 m C. 100 m D. 335 m E. 190 m 4 PHYS 218 EXAM #1 FORM A February 13, 2007 5 9. (10 points) Two masses are connected by a string which passes over a pulley with negligible mass and friction. One mass hangs vertically and one mass slides on a 30.0 degree incline. The inclined surface has a coefficient of kinetic friction of 0.200. The vertically hanging mass is 6.00 kg and the mass on the incline is 4.00 kg. The acceleration of the 4.00 kg mass is (the initial velocity is zero): 30 o A. 3.24 m/s 2 . B. 4.60 m/s 2 . C. 6.48 m/s 2 . D. 7.16 m/s 2 . E. 8.88 m/s 2 . 10. (10 points) A conical pendulum is constructed with a string 2.5 m in length. The pendulum is set in horizontal circular path about the vertical axis. If the angular velocity of the conical pendulum is a constant 2.8 rad/s, then the angle the string makes with the vertical axis is: A. 48 degrees. B. 60 degrees. C. 71 degrees. D. 75 degrees. E. 80 degrees. Pyrak-Nolte 1