acceleration length time area

1. If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following? • acceleration • length • time • area

2. A crate has the dimensions of 1.0 m x 1.2 m x 0.80 m. If there are 3.28 feet per meter then what is the volume of the crate in cubic feet? • 34 cubic feet • 10 cubic feet • 68 cubic feet • 3 cubic feet

3. If a jet airplane climbs at an angle of 15 with respect to the horizontal and follows a straight-line path for a distance of 400 m, how much altitude does it gain? • 103 m • 390 m • 141 m • 200 m

4. The distance to the Andromeda Galaxy is estimated at about 2 x 106 light years. A light year is the distance traveled by light in one year; if the speed of light is 3 x 108 m/s, about how far is it from our galaxy to Andromeda? (1 year = 3.15 x 107 s) • 10 x 1015 m • 1 x 1018 m • 1.9 x 1022 m • 6 x 1012 m

5. A furlong is a distance equal to 220 yards. A fortnight is a time period of 2 weeks. If a race horse is running at a speed of 5 yards per second, what is its speed as measured in furlongs per fortnight? • 27,491 furlongs/fortnight • 13,674 furlongs/fortnight • 6,221 furlongs/fortnight • 2,749 furlongs/fortnight

6. Mass, along with what other two quantities, make up the three basic quantities in mechanics used by physicists to derive additional quantities? • length and force • power and force • length and time • force and time

7. Note the following mathematical expression: y = x 2 . Which one of the statements below is most consistent with this expression? • if y doubles, then x quadruples • y is greater than x • if x doubles, then y doubles • if x doubles, then y quadruples

8. Which of the following formulas is dimensionally consistent with an expression which would yield a value for time -1 (v is velocity, x is distance, and t is time)? • v/x • v2/x • x/t • V2 t

9. Note the following expression: y = A/x3 . Which one of the statements below is most consistent with the above expression? • y is less than A • if x is halved, y is multiplied by eight • if x is doubled, y is multiplied by a factor of 8 • y is greater than x

10. On planet N, the standard unit of length is the nose. If a 6.1 foot height astronaut travels to planet N and is measured to have a height of 94 noses, what would be the height in feet of his partner who measures 76 noses? • 4.9 feet • 7.5 feet • 5.3 feet • 5.8 feet

11. Since 1983 the standard meter has been defined in terms of which of the following? • specific alloy bar housed at Sevres, France • wavelength of light emitted by krypton-86 • distance from the Earth's equator to the north pole • the distance light travels in 1/(3 x 108) second

12. Which of the following formulas is dimensionally consistent with an expression yielding a value for acceleration (v is velocity, x is distance, and t is time)? • v/t2 • v/x2 • v2/t • v2/x

13. Since 1967 the standard definition for the second of time has been based on which of the following? • characteristic frequency of the cesium-133 atom • average solar day • sidereal day • Greenwich Civil Time

14. On planet Q the standard unit of volume is called the guppy. Space travelers from Earth have determined that one liter = 38.2 guppies. If so, how many guppies are contained in 150 liters? • 5730 guppies • 0.255 guppies • 3.93 guppies • 188 guppies

15. Assume that on average everyone in the United States consumes one soft drink in an aluminum can every two days. If there are 270 million Americans, how many tons of aluminum need to be recycled each year if each can weighs 1/16 pound and one ton = 2000 pounds? • 750,000 tons • 1.5 million tons • 1.75 million tons • 3 million tons

16. Army engineers in 1946 determined the distance from the Earth to the moon by using radar. If the time from which a signal was sent out from their radar to the time at which it was received back was 2.56 s, what is the distance from the Earth to the moon? (The speed of radar waves is 3 x 108 m/s). • 240,000 km • 384,000 km • 480,000 km • 768,000 km

17. The mass of the sun is 2 x 1030 kg, and the mass of a hydrogen atom, of which the sun is mostly composed, is 1.67 x 10-27 kg. How many atoms are there in the sun? • 1.2 x 1056 atoms • 3.4 x 1056 atoms • 1.2 x 1057 atoms • 2.4 x 1057 atoms

18. The basic function of the carburetor of an automobile is to atomize the gasoline and mix it with air to promote rapid combustion. As an example, assume that 30 cm3 of gasoline is atomized into N spherical droplets, each with a radius of 2.0 x 10 -5 m. What is the total surface area of these N spherical droplets? • 2,140 cm2 • 10,140 cm2 • 21,400 cm2 • 44,770 cm2

19. Which point is nearest the y-axis? • (3,4) • (4,3) • (-5,2) • (-2,-5)

20. Modern electroplaters can cover a surface area of 60 m2 with one troy ounce of gold (volume = 1.611 cm3 ). What is the thickness of the electroplated gold? • 2.68 x 10-8 m • 1.34 x 10-9 m • 1.67 x 10-6 m • 3.33 x 10-7 m

21. A high fountain of water is in the center of a circular pool of water. If you walk around the circumference of the pool, it is a distance of 150 meters. If now, standing at the edge of the pool, you use a protractor to gauge the angle of elevation of the top of the fountain, it is 55°. How high is the fountain? • 17 m • 23 m • 29 m • 34 m

22. Water flows into a swimming pool at the rate of 8 gallons/minute. If the pool dimensions are 16 ft wide, 32 ft long and 8 ft deep, how long does it take to fill the pool? (1 U.S. gallon = 231 cubic inches) • 32 hours • 64 hours • 48 hours • 24 hours

23. Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 10.5 x 8.8 x 3.14? • 290 • 290.136 • 290.1 • 300

24. The speed of a boat is often given in knots. If a speed of 5 knots were expressed in the SI system of units, the units would be • m • s • m/s • kg/s

25. For which of the values below is x > x3 ? • x = -0.5 • x = 0.5 • x = 1.0 • x = 1.5

26. If a is acceleration, v is velocity, x is position, and t is time, then which equation is not dimensionally correct? • t = x/v • a = v2 /x • v = a/t • t2 = 2x/a

27. A cement truck can pour 20 cubic yards of cement per hour. Express this in ft3 /min. • 1/3 ft3/min • 1.0 ft3/min • 3 ft3/min • 9 ft3/min

28. Which one of the choices below represents the preferred practice regarding significant figures when adding the following: 21.4 + 15 + 17.17 + 4.003? • 57.573 • 57.57 • 57.6 • 58

29. Calculate (0.82 + 0.042) x (4.4 x 10 -3 ), keeping only significant figures. • 3800 • 3784 • 3792 • 3520