81 students took the exam. The number of students getting a question right is for the whole class on that question. Quest. Version A Version B Version C ans. # right ans. # right ans. # right 1. A 62 C 64 B 51 2. A 71 B 72 D 66 3. C 70 B 51 C 69 4. C 80 C 71 B 62 5. B 51 D 66 C 48 6. B 62 C 63 B 63 7. A 61 C 70 C 63 8. B 74 D 74 C 80 9. D 65 A 58 A 61 10. A 80 A 61 A 58 11. C 69 B 62 B 68 12. B 63 A 80 B 62 13. B 62 C 69 C 69 14. D 74 C 80 B 53 15. A 58 B 68 D 74 16. C 64 C 71 C 70 17. C 63 C 69 C 71 18. C 71 A 62 A 80 19. B 53 A 71 A 71 20. B 68 B 62 B 74 21. C 69 B 74 D 65 22. D 66 D 65 D 69 23. C 48 B 63 A 62 24. B 72 D 69 C 64 25. D 69 B 53 B 72 26. T 60 F 75 F 47 27. F 58 F 54 T 73 28. F 75 T 73 T 71 29. T 73 F 58 F 75 30. T 65 T 65 T 65 31. T 73 T 78 F 58 32. T 71 T 71 T 78 33. F 54 F 47 F 54 34. F 47 T 60 T 60 35. T 78 T 32 T 73 36. (a): 1 m^2 area times 10 m (amount of air that passes in a second) = 10 m^3 (b): density 1.3 kg/m^3 times a volume of 10 m^3 = 13 kg (c): in each second, the kinetic energy passing through the windmill is 0.5*m*v^2 = 0.5*(13 kg)*(10 m/s)^2 = 650 J so the power available is 650 J in each second, or 650 W (d): only 40% (0.4) of the above is extractable by the windmill, so the practical power is 0.4*650 W = 260 W 36. (8 points): The shower uses 75 kg of water whose temperature has been raised by 25 C, requiring an energy of (4184 J/kg/C)*(75 kg)*(25 C) = 7.8 MJ. For a 1500 W (1500 J/s) space heater to blow through 7.8 MJ would take (7.8x10^6 J)/(1500 J/s) = 5230 seconds, or about 1.5 hours. Let this sink in: a 10 minute shower uses as much energy as 1.5 hours of personal space heater. 38. (a): 0.15 kW * 720 h = 108 kWh (b): uwave: 1 kW * 0.2 h = 0.2 kWh every day stove: 2 kW * 0.3 h = 0.6 kWh every day total is 0.8 kWh each day, or 0.8*30 = 24 kWh in a month (c): 0.075 kW * 720 h = 54 kWh (same technique as part a) (d): each load has 5 kW*1 h = 5 kWh from dryer, 0.2 kWh from washer so 5.2 kWh per load. At 12 loads per month, this is 62.4 kWh (e): 248 kWh in a month means 8.3 kWh per day (note: at $0.15/kWh, this is $37/month) note the relative importance of the above contributions: an always-on computer plus random household devices might dominate (f): If the unknown part uses 2 kWh of energy every 24 hours, the average power associated with this is 2kWh/24h = 1/12 kW = 83 W (g): If the missing 2 kWh is being used in a 5 hr period, the power associated with this source is 2 kWh/5h = 0.4 kW = 400 W