Search & Filtering
25. A partly full paint can has 2.75 liters of paint left in it. What is volume of the paint in cubic centimeters? (3)
A) 2.75 x 10-3 cm3 C) 275 x 10-3 cm3 E) 27.5 x 103 cm3
B) 2.75 cm3 D) 2.75 x 103 cm3
26. Calculate the resultant of the four forces working on an object:
25 N 20° W of N
60 N 18° S of W
45 N W
35 N 49° E of N
Use the perpendicular component method. Express the answer in unit vector notation. (6)
24. While observing the obelisk in Saint Peter’s Square in Vatican City, you stand at the edge of the shadow it is casting across the ground, which is about 120 m long. While kneeling, you estimate your line of sight with the top of the obelisk to be about 12o above the horizontal. Approximately how tall is the obelisk? (3)
A) 9.6 m C) 23.1 m E) 26 m
B) 120 m D) 190 m
25. A partly full paint can has 2.75 liters of paint left in it. What is volume of the paint in cubic centimeters? (3)
A) 2.75 x 10-3 cm3 C) 275 x 10-3 cm3 E) 27.5 x 103 cm3
B) 2.75 cm3 D) 2.75 x 103
24. While observing the obelisk in Saint Peter’s Square in Vatican City, you stand at the edge of the shadow it is casting across the ground, which is about 120 m long. While kneeling, you estimate your line of sight with the top of the obelisk to be about 12o above the horizontal. Approximately how tall is the obelisk? (3)
A) 9.6 m C) 23.1 m E) 26 m
B) 120 m D) 190 m
25. A partly full paint can has 2.75 liters of paint left in it. What is volume of the paint in cubic centimeters? (3)
A) 2.75 x 10-3 cm3 C) 275 x 10-3 cm3 E) 27.5 x 103 cm3
B) 2.75 cm3 D) 2.75 x 103 cm3
19. Which of the following quantities have the dimensions of the speed? (2)
A) at2 C) 2at
B) a2t D) (2ax)1/2
17. An electronic advertising sign repeats a message every 7 seconds, day and night, a week. How many times did the message appear on the sign? (4)
A) 9 x 104 message/week
B) 10 message/week
C) 1.689 x 104 message/week
D) 459 x 104 message/week
E) 105 message/week
18. A highway is to be built between two towns, one of which lies 18.0 km South and 85.0 km West of the other. What is the shortest length of highway that can be built between the two towns, and at what angle would this highway be directed with respect to due West? (4)
A) 86.9 km; 12.0o S of W C) 78 km; 90o N of E E) 10 km; 120o E of N
B) 103 km; 120o E of W D) 0 km; 0o S of W
19. Which of the following quantities have the dimensions of the speed? (2)
A) at2 C) 2at
B) a2t D) (2ax)1/2
14. The movie Spiderman brought $114,000,000 in its opening weekend. Express this amount in gigadollars. (2)
A) 114 x 107 C) 0.114 E) 38 x 105
B) 11.4 D) 114,000
15. A mass of a newborn baby’s brain has been found to increase by about 1.6 mg + (4)
A) 0.007 g C) 8.91 g E) 2.3 g
B) 0.9818 g D) 14.0016 g
16. The speed of light in a vacuum is approximately 0.3 Gm/s. Express the speed of light in meters per second? (2)
A) 3 x 108 m/s C) 0.3 x 10-9 m/s E) 3 x 109 m/s
B) 0.3 x 10-8 m/s D) 0.3 m/s
17. An electronic advertising sign repeats a message every 7 seconds, day and night, a week. How many times did the message appear on the sign? (4)
A) 9 x 104
10. Do the following unit conversion: 1 kilogram = ______ centigram (3)
A) 100 C) 10-5 E) 105
B) 103 D) 103
11. Do the following unit conversion: 3212 feet = ______ kilometer (1 m = 3.28 ft) (4)
A) 10 C) 88.214 E) 32.12
B) 0.979 D) 17.7
12. Consider a highway with a speed limit of 55 mi/h. Is this speed less than, equal, or greater than 55 km/h? (1 km = 0.62 miles) (2)
A) Less than 55 mi/h C) Equal to 55 mi/h
B) Greater than 55 mi/h D) Impossible to say
13. The acceleration of gravity is approximately 9.81 m/s2 (depending on your location). What is the acceleration of gravity in feet per second squared? ( 1 m = 3.28 ft) (4)
A) 11.37 C) 91.8 E) 32.2
B) 0.981 D) 3.41
9. The largest mall in Africa by volume is Mall of Africa, South Africa. It measures approximately 631 m long, 707 yards wide, and 110 ft high. Its volume in cubic feet is 4.83 x 108 ft3. Convert the volume to cubic meters. (1 m = 3.28 ft) (4)
A) 1.37 x 107 C) 483 E) 731 x 100
B) 1.7317 x 104 D) 3.141
10. Do the following unit conversion: 1 kilogram = ______ centigram (3)
A) 100 C) 10-5 E) 105
B) 103 D) 103
7. The speed of light to five significant figures is 2.9979 x 108 m/s. Write the speed of light to three significant figures. (2)
A) 3 x 1010 m/s C) 0.03 x 108 m/s E) 3.00 x 108 m/s
B) 2.99 x 108 m/s D) 0.2 x 107 m/s
8. The first several digits of π are known to be π = 3.1415926535 8979…. What is the value of π to seven significant figures? (2)
A) 3.141593 C) 3.141592 E) 3.141594 B) 3.1415926 D) 3.14159
3. A typical E.coli bacteria is about 5 microns (or micrometers) in length. How long is this length in millimeter? (3)
A) 5.000 mm C) 0.005 mm E) 50 mm
B) 5000 mm D) 0.05 mm
4. Which one of the following equations are dimensionally consistent? (3)
A) v = at2 C) v =
B) v = at2 D) v2 = 2ax
5. How many significant figures does the number 0.000054 have? (2)
A) 4 C) 5
B) 6 D) 2
6. How many significant figures does the number 3.001 x 105 have? (2)
A) 4 C) 7
B) 10 D) 2
