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

b) 1.75 m

c) 2.54 x 10-5 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

b) 2.5 x 10-3 s

c) 3.46 x 105 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 %

b) 0.3 %

c) 158.36 cm2

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°

12) 112 km, 26.6°13) 8.66 km

14) 7.52 km

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