PhysicsLAB AAPT Quiz
PhysicsBowl 2021 (Part 2)

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27. You are given three 6-ohm resistors. Neglecting the resistance of any connecting wires, which of the following resistances CANNOT be made using one or more of these resistors?
 
28. Electric energy can be generated in many ways, two of which are with nuclear plants using nuclear fission reactions, or coal fired plants utilizing chemical reactions. Energy density for a fuel has units of Joules/kilogram. What is the approximate ratio of nuclear versus chemical energy density?
 
29. An amusement park ride called “The Rotor” has people standing in a vertical cylinder, in this case 6 m in diameter, which rotates and presses them against the wall with sufficient force that the floor can then drop without them sliding down the wall. Shown here is the magnitude of accelerometer data from a device carried in a pocket by a rider. Assuming the high plateau averages 27.7 m/s2 , what is the peak centripetal acceleration? (Consider the spikes noise caused by movement of the rider.)
 
 
 
30. You drop a rock off a bridge into the river below and hear the splash 2.5 s later. How far above the river is the bridge?
 
31. Any nucleus that emits an alpha particle or beta particle




 
32. A child, starting from rest at the top of a 3.00-m tall slide, has a speed of 2.52 m/s at the bottom of the slide. What percent of the mechanical energy of the child-Earth system at the top of the slide remains when the child reaches the bottom of the slide?
 
33. Two identical uniform sticks have small holes drilled in them. The sticks are marked with equally spaced lines as shown. Each stick is suspended from a pin through the hole and is free to rotate about the pin. Both sticks are displaced a small angle from the vertical and released. What is the ratio of the period of pendulum one to the period of pendulum two?
 
 
34. A projectile will be launched from a 2.00-m tall platform and must hit a target at a horizontal distance of 25.0 m away on an identical 2.00-m tall platform. What is the slowest speed at which the projectile can be launched?
 
35. A motorcycle has a total mass of 150 kg. Each wheel has a mass of 10 kg and a radius of 30 cm. As the motorcycle is moving, what is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the motorcycle? Assume the wheels are uniform disks and roll without slipping.
 
36. A spring loaded projectile launcher launches a plastic ball horizontally with a speed of 4.0 m/s. If the spring were compressed twice as far, the ball’s launch speed would be
 
37. You are given three identical resistors, each of resistance R. Each resistor can sustain a maximum power of P. Two of the resistors are connected in series, and a third is connected in parallel with these two. What is the maximum power this network can sustain?
 
38. A man of mass m, gets off a boat by leaping to the left in an exactly horizontal direction. Both the man and the boat were initially stationary. Immediately after the leap, the boat of mass M, is observed to be moving to the right at speed v. What is the increase of the kinetic energy in the man-boat system? (Neglect the resistive force of the water)
 
39. A monatomic ideal gas undergoes an adiabatic expansion. Which of the following statements is true about the gas?




 
40. What temperature exists inside a solar collector (effective collection area of 15 m2) on a bright sunny day when the outside temperature is +20°C? Assume that the collector is thermally insulated, that the Sun radiates the collector with a power per unit area of 600 W/m2 , and that the collector acts as a perfect blackbody.
 
Division 1 Students Stop here. Your last answer should be for #40. Numbers #41 through #50 should remain blank for Division 1 students.
Division 2 Students are to continue with question #41-#50.

41. A P-type semiconductor is doped to produce one of the following. What will it produce:
 
42. A radioactive sample of gas has a half-life of 100 seconds. If there are initially 10000 of these gas molecules in a closed container, approximately how many of the molecules remain after a time of 250 seconds elapses?
 
Question #43 and #44 refer to the circuit shown below.
 
 
43. What is the voltage drop across R5?
 
44. What is the current in R3?
 
45. In the 1990s, the space shuttle flew two separate tethered satellite experiments. One purpose was to generate power via the induced voltage in a 20 km long tether moving perpendicular to the Earth’s 0.5 Gauss magnetic field lines at roughly 8 km/s. What is the theoretical voltage across the tether to the nearest order of magnitude?
 
46. An engine absorbs heat at a temperature of 727oC and exhausts heat at a temperature of 527oC. If the engine operates at maximum possible efficiency, for 2000 J of heat input, the amount of work the engine performs is most nearly
 
47. In an ideal LC circuit, what is the time difference between all of the energy in the circuit being stored in the inductor and all of the energy being stored in the capacitor?




 
48. Two identical metal spheres are hung from a common point by 30-cm long, nonconducting threads of negligible mass. The spheres each have a mass of 0.20 g and are given identical charges. It is found that due to the electrostatic repulsion force, the angle between the threads is 20°. How much charge was placed on each sphere?
 
49. A collimated laser beam emerging from a commercial He-Ne laser has a diameter of 1.0 mm. Two convex lenses are used to convert this beam to a well-collimated beam with 10.0 mm diameter. The first lens has a focal length of 1.5 cm and is to be mounted at the output of the laser. What is the focal length, f, of the second lens and how far from the first lens should it be placed?
 
50. A free electron (rest mass: me = 0.5 MeV/c2) has a total energy of 1.5 MeV. Its momentum, p, in terms of MeV/c is about
 



 
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