Dimensional Analysis Worksheet #2

Dimensional Analysis Worksheet #2 1. 261 g → kg 2. 3 days → seconds 3. 9,474 mm → cm 4. 0.73 kL → L 5. 5.93 cm3 → m3 6. 498.82 cg → mg 7. 1 ft3 → m3 (Note: 3.28 ft = 1 m) 8. 1 year → minutes 9. 175 lbs → kg (Note: 2.2 lb = 1 kg) 10. 4.65 km → m 11. 22.4 kg/L to kg/mL 12. Convert 2.05 x 105 seconds into years. 13. Traveling at 65 miles/hour, how many minutes will it take to drive 125 miles to San Diego? 14. Convert 50 years into seconds. Express your answer in scientific notation. Dimensional Analysis Worksheet #2 1. 261 g → kg 0.261 kg 2. 3 days → seconds 3 x 105s 3. 9,474 mm → cm 947.4 cm 4. 0.73 kL → L 730 L 5. 5.93 cm3 → m3 5.93x10-6 m3 6. 498.82 cg → mg 4988.2 mg 7. 1 ft3 → m3 (Note: 3.28 ft = 1 m) 0.028m3 14.2mg/mm2 14. 10095 m/s to miles/s 6.3094 miles/s 15. 9.81 m/s2 to ft/s2 32.2 ft/s2 8. 1 year → minutes 525600 9. 175 lbs → kg (Note: 2.2 lb = 1 kg) 79.5kg 10. 4.65 km → m 4650m 11. 22.4 kg/L to kg/mL 0.0224kg/mL 12. 0.74 Kcal/min to cal/sec 12 cal/sec 13. 1.42 g/cm2 to mg/mm2 16. 8.41 g/mL to Kg/L 8.41 Kg/L 17. 3.8 Km/sec to miles/year 7.5 x 107 miles/year 18. 7.68 cal/sec to Kcal/min 0.461 Kcal/min 19. 8.24 g/cm2 to mg/mm2 82.4 mg/mm2 20. 25 m/s to miles/hr =56 miles/hr 21. Convert 2.05 x 105 seconds into years. 6.50 x 10-3 years 22. Traveling at 65 miles/hour, how many minutes will it take to drive 125 miles to San Diego? 115 min 23. Convert 50 years into seconds. Express your answer in scientific notation. 1.58 x 109 s 24. Traveling at 65 miles/hour, how many feet can you travel in 22 minutes? (1 mile = 5280 feet) a. 125 840 ft 25. One sphere has a radius of 5.10 cm; another has a radius of 5.00 cm. What is the difference in volume (in cubic centimeters) between the two spheres? Give the answer to the correct number of significant figures. The volume of a sphere is (4/3)πr3, where π = 3.1416 and r is the radius. 32.0cm3 26. The total amount of fresh water on earth is estimated to be 3.73 x 108 km3. What is this volume in cubic meters? In liters? 3.73 x1017 m3 3.73 x 1020 L 27. Sally Leadfoot was pulled over on her way from Syracuse to Ithaca by an officer claiming she was speeding. The speed limit is 65 mi/hr and Sally had traveled 97 km in 102 minutes. How fast was Sally’s average speed? Does she deserve a ticket? 35.7 mi/h, no 28. Marie was trying to make her favourite recipe but was not sure of the conversions. Would you eat these cookies? Recipe Marie’s Conversions 2 ¼ Cups flour 0.5 lbs choc. chips 325 degrees Fahrenheit 0.5 litre flour 2000 g choc. chips 373 Kelvin 29. Winnipeg is refilling the pool. How many gallons of water will it take if the pool is 50m by 25m by 1.5m? (1 gallon = 3.786 L) 5 x 105 gallons 30. Meredith found some lace at a price of 4.0 £/meter in Ireland that she liked but was afraid she was paying too much for it. The same lace in the Canada would sell for $5.99/yd. Was she paying too much for it? ($1 = 0.498 £) $7.35/yard, yes 31. At a given point in its orbit, the moon is 2.4 x 105 miles from earth. How long does it take light from a source on earth to reach a reflector on the moon and then return to earth? (speed of light is 3.0 x 108 m/s) 1.3 s x 2 = 2.6 s 32. In Raiders of the Lost Ark, Indiana Jones tried to remove a gold idol from a booby-trapped pedestal. He replaces the idol with a bag of sand. If the idol has a mass of 2.00 kg, how many litres of sand must he place on the pedestal to keep the mass sensitive booby-trap from activating? (Density of sand is 3.00 g/cm3) 0.667 L