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Topic 1: Physical Measurements Practice Questions Practice Questions 1. Convert the following into metres (m) and write in standard form: a) Distance from London to New York = 5585 km b) Height of Einstein was 175 cm c) Thickness of a human hair = 25.4 μm d) Distance to the edge of the universe = 100,000 million million million km a) 5.585 x 106 m c) 2.54 x 10-5 m b) 1.75 m d) 1026 m Practice Questions 2. Convert the following times into seconds (s) and write in standard form: a) 85 years, how long Newton lived b) 2.5 ms, the time taken for a mosquito’s wing to go up and down c) 4 days, the time it took to travel to the moon d) 2 hours, 52 min 59 s, the time time for the Concord to fly from London to New York a) 2.69 x 109 s c) 3.46 x 105 s b) 2.5 x 10-3 s d) 1.0379 x 104 s Practice Questions 3. Convert the following masses to kilograms (kg) and write in the standard form: a) The mass of an apple = 200 g b) The mass of a grain of sand = 0.00001 g c) The mass of a family car = 2 tonnes a) 0.2 kg b) 1 x 10-8 kg c) 2 x 103 kg Practice Questions 4. Calculate the volume of a room of length 5 m, width 10 m and height 3m. 5. What is the volume of a human hair with length 20 cm? 6. Calculate the volume of the Earth (radius = 6.378 x 106 m). 4) 150 m3 5) 1.0 x 10-10 m3 6) 1.09 x 1021 m3 Practice Questions 7. Calculate the mass of the air in the previous room. The density of air is 1.2 kg m-3. 8. Calculate the mass of a gold bar of length 30 cm, width 15 cm, height 10 cm and density 1.93 x 104 kg m-3. 9. The Earth has a mass of 5.97 x 1024 kg, calculate its average density. 7) 180 kg 8) 86.85 kg 9) 5.48 x 103 kg m-3 Practice Questions 10. To determine the area of an object, two lengths l1 and l2 are measured. l1 = 10.25 +/- 0.05 cm l2 = 15.45 +/-0.05 cm. Calculate: a) the % uncertainty in l1 b) the % uncertainty in l2 c) the area of the object d) the % uncertainty in the area a) 0.5 % c) 158.36 cm2 b) 0.3 % d) 0.8 % Practice Questions 11. A boat travels 4 km west followed by 8 km north. What is the resultant displacement? 12. A plane flies 100 km north then changes course to fly 50 km east. What is the resultant displacement? 13. If a boat travels 10 km in a direction 30° east of north, how far north has it traveled? 14. On his way to the South Pole , Amundsen traveled 8 km in a direction that was 20° west if south. What was his displacement south? 15. A mountaineer climbs 500 m up a slope that is inclined at an angle 60° to the horizontal. How high has he climbed? 11) 8.94 km, 26.6° 14) 7.52 km 13) 8.66 km 12) 112 km, 26.6° 15) 433 km Practice Questions a) half area of graph paper used; axes labels and units included; scale; data points; b) absolute uncertainty in Q at 10.0 V = +/- 3nC; absolute uncertainty in Q at 50.0 V = +/- 18nC; correct placing on graph; c) from top of error bar at (50,180) to bottom of error bar (10,30); Use of at least half of the line or algebraic indication; value = 4.3 or 4.3 x 10-9; d) CV-1 e) recognize that m = ε°A / d; therefore ε° = dm / A; (0.51 x 10-3)(4.3 x 10-9) / 0.15; 1.5 x 10-11 CV-1m-1; Practice Questions 2) C 3) A 4) C 5) C Practice Questions 6) C 7) D 8) B 9) C