# Quiz 1: Introduction

Physics & Astronomy

Q 1Q 1

Which one of the choices below represents the preferred practice regarding significant figures when adding the following: 12.4 + 14 + 67.37 + 4.201?
A) 98
B) 98.0
C) 97.97
D) 97.971

Free

Multiple Choice

A

Q 2Q 2

Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 10.5 8.9 3.11?
A) 290.6295
B) 290.63
C) 291
D) 290

Free

Multiple Choice

D

Q 3Q 3

Calculate (0.82 + 0.042) (4.49 10

^{3}), keeping only significant figures. A) 3870.8 B) 3870 C) 3879 D) 3900Free

Multiple Choice

D

Q 4Q 4

The length and width of a standard sheet of paper is measured, and then the area is found by calculation to be 93.500 in

^{2}. The number of significant figures in the width measurement must be at least: A) 5 B) 4 C) 3 D) 2Free

Multiple Choice

Free

Multiple Choice

Q 6Q 6

Multiplying a 4 significant figure number by a 3 significant figure number and then dividing the product by a six significant figure number yields a number with how many significant figures?
A) 7/6
B) 3
C) 2
D) 13

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Multiple Choice

Q 7Q 7

Modern electroplaters can cover a surface area of 55.0 m

^{2 }with one troy ounce of gold (volume = 1.611 cm^{3}). What is the thickness of the electroplated gold? A) 3.64 10^{}^{7}m B) 1.46 10^{}^{9}m C) 1.83 10^{}^{6}m D) 2.93 10^{}^{8}mFree

Multiple Choice

Q 8Q 8

The basic function of an automobile's carburetor is to atomize the gasoline and mix it with air to promote rapid combustion. Assume that 40 cm

^{3}of gasoline is atomized into N spherical droplets. Each droplet has a radius of 2.0 10^{}^{5}m. Find the total surface area of these N spherical droplets. A) 60,000 cm^{2}B) 24,000 cm^{2}C) 20,000 cm^{2}D) 2800 cm^{2}Free

Multiple Choice

Q 9Q 9

A circle has an area of 2.0 m

^{2}. A second circle has triple the radius of the first. The area of the second circle is _____ times that of the first. A) 27 B) 9.0 C) 3.0 D) 0.67Free

Multiple Choice

Q 10Q 10

tripling the radius of a sphere results in increasing its volume by a factor of
A) 27
B) 27
C) 9
D) 3

Free

Multiple Choice

Q 11Q 11

Two numbers, one with 4 significant figures and the other with 3 significant figures, are combined using the math operations given below. Which operation can give a result with fewer than 3 significant figures?
A) addition
B) subtraction
C) multiplication
D) division

Free

Multiple Choice

Q 12Q 12

A room in a house has a floor area of 160 ft

^{2}. Which of the following is most likely the approximate volume of the room? A) 4000 m^{3}B) 400 m^{3}C) 40 m^{3}D) 4 m^{3}Free

Multiple Choice

Q 13Q 13

In 1983 the standard meter was redefined to what it is currently. What was the previous definition from 1960 based on?
A) specific alloy bar housed at Sevres, France
B) wavelength of light emitted by certain krypton atoms
C) distance from the Earth's equator to the North Pole
D) the distance light travels in a certain fraction of a second

Free

Multiple Choice

Q 14Q 14

The current standard definition for the second has been based on which of the following?
A) characteristic frequency of the light from cesium atoms
B) average solar day
C) sidereal day
D) Greenwich Civil Time

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Multiple Choice

Q 15Q 15

In mechanics, physicists use three basic quantities to derive additional quantities. Mass is one of the three quantities. What are the other two?
A) length and force
B) power and force
C) length and time
D) force and time

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Multiple Choice

Q 16Q 16

The prefixes which are abbreviated p, n, and T represent which of the following?
A) 10

^{}^{2}, 10^{}^{6}, and 10^{15}B) 10^{}^{9}, 10^{6}, and 10^{10}C) 10^{}^{12}, 10^{}^{9}, and 10^{12}D) 10^{}^{15}, 10^{}^{6}, and 10^{15}Free

Multiple Choice

Q 17Q 17

The ratio M/m of the prefixes M and m has what value?
A) 10

^{3}B) 10^{6}C) 10^{9}D) 10^{18}Free

Multiple Choice

Q 18Q 18

One year is about _____ seconds while one day is exactly _____ seconds.
A) 3.16 10

^{7}, 86,400 B) 5.26 10^{5}, 86,400 C) 3.16 10^{7}, 8640 D) 1.04 10^{6}, 36,000Free

Multiple Choice

Q 19Q 19

On planet Q the standard unit of volume is called the guppy. Space travelers from Earth have determined that one liter = 38.2 guppies. How many guppies are in 200 liters?
A) 70.2 guppies
B) 9.74 guppies
C) 5.24 guppies
D) 7640 guppies

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Multiple Choice

Q 20Q 20

On planet Z, the standard unit of length is the foose. Ann the Astronaut is 5.90 feet tall on Earth. She lands on planet Z and is measured to be 94 foosi tall. Her partner Rachael is 83 foosi tall. How tall is Rachael on Earth?
A) 5.2 feet
B) 5.5 feet
C) 5.8 feet
D) 6.3 feet

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Multiple Choice

Q 21Q 21

A furlong is a distance of 220 yards. A fortnight is a time period of two weeks. A horse is running at a speed of 4.00 yards per second. What is his speed in furlongs per fortnight?
A) 2200 furlongs/fortnight
B) 4980 furlongs/fortnight
C) 11,000 furlongs/fortnight
D) 22,000 furlongs/fortnight

Free

Multiple Choice

Q 22Q 22

A cereal box has the dimensions of 0.19 m 0.28 m 0.080 m. If there are 3.28 feet per meter, then what is the volume of the box in cubic feet?
A) 0.0043 cubic feet
B) 0.15 cubic feet
C) 0.046 cubic feet
D) 0.0014 cubic feet

Free

Multiple Choice

Q 23Q 23

The distance to the Andromeda Galaxy is estimated at about 2 10

^{6}light years. A light year is the distance traveled by light in one year; if the speed of light is 3 10^{8}m/s, about how far is it from our galaxy to Andromeda? (1 year = 3.15 10^{7}s) A) 10 10^{15}m B) 1 10^{18}m C) 2 10^{22}m D) 6 10^{12}mFree

Multiple Choice

Q 24Q 24

A cement truck can pour 40 cubic yards of cement per hour. Express this in ft

^{3}/min. A) 2/3 ft^{3}/min B) 18 ft^{3}/min C) 6 ft^{3}/min D) 2.0 ft^{3}/minFree

Multiple Choice

Q 25Q 25

Water flows into a swimming pool at the rate of 12 gal/min. The pool is 16 ft wide, 32 ft long and 6.0 ft deep. How long does it take to fill? (1 U.S. gallon = 231 cubic inches)
A) 32 hours
B) 64 hours
C) 48 hours
D) 24 hours

Free

Multiple Choice

Q 26Q 26

When NASA was communicating with astronauts on the moon, the time from sending on the Earth to receiving on the moon was 1.28 s. Find the distance from Earth to the moon. (The speed of radio waves is 3.00 10

^{8}m/s.) A) 240,000 km B) 384,000 km C) 480,000 km D) 768,000 kmFree

Multiple Choice

Q 27Q 27

The mass of the Sun is 2.0 10

^{30}kg, and the mass of a hydrogen atom is 1.67 10^{}^{27}kg. If we assume that the Sun is mostly composed of hydrogen, how many atoms are there in the Sun? A) 1.2 10^{56}atoms B) 3.4 10^{56}atoms C) 1.2 10^{57}atoms D) 2.4 10^{57}atomsFree

Multiple Choice

Q 28Q 28

The information on a one-gallon paint can is that the coverage, when properly applied, is 270 ft

^{2}. One gallon is 231 in^{3}. What is the average thickness of the paint in such an application? A) 0.0036 in. B) 0.0059 in. C) 0.043 in. D) 0.053 in.Free

Multiple Choice

Free

Multiple Choice

Q 30Q 30

When SI units are plugged into an equation, it is found that the units balance. Which of the following can we expect to be true for this equation?
A) The equation will be dimensionally correct.
B) The equation will be dimensionally correct except sometimes in cases when the right-hand side of the equation has more than one term.
C) The equation will not be dimensionally correct.
D) All constants of proportionality will be correct.

Free

Multiple Choice

Q 31Q 31

Which formula is dimensionally consistent with an expression yielding a value for velocity? (v is velocity, x is distance, and t is time)
A) v/t

^{2}B) vx^{2}C) v^{2}/t D) v^{2}t/xFree

Multiple Choice

Q 32Q 32

Which expression is dimensionally consistent with an expression that would yield a value for time

^{}^{1}?(v is velocity, x is distance, and t is time) A) v/x B) v^{2}/x C) x/t D) v^{2}tFree

Multiple Choice

Q 33Q 33

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?
A) volume
B) length
C) time
D) area

Free

Multiple Choice

Q 34Q 34

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:
A) m
B) s
C) m/s
D) kg/s

Free

Multiple Choice

Q 35Q 35

If v is velocity, x is position, and t is time, then which equation is not dimensionally correct?
A) t = x/v
B) = v

^{2}/x^{2}C) v = t/x D) t^{2}= 2x^{2}/v^{2}Free

Multiple Choice

Q 36Q 36

Suppose an equation relating position, x, to time, t, is given by x = bt

^{3}+ ct^{4}, where b and c are constants. The dimensions of b and c are respectively: A) T^{3}, T^{4}. B) 1/T^{3}, 1/T^{4}. C) L/T^{3}, L/T^{4}. D) L^{2}T^{3}, L^{2}T^{4}.Free

Multiple Choice

Q 37Q 37

Areas always have dimensions _____ while volumes always have dimensions _____.
A) m

^{2}, m^{3}B) L^{2}, L^{3}C) Both a and b are correct. D) No answer is correct because of the "always."Free

Multiple Choice

Free

Multiple Choice

Q 39Q 39

Volume can be measured in units of Which of the following unit combinations also result in volume?
A)
B)
C)
D)

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Multiple Choice

Q 40Q 40

Note the expression: y = x

^{2}. Which statement is most consistent with this expression? A) if y doubles, then x quadruples B) y is greater than x C) if x doubles, then y doubles D) if x doubles, then y quadruplesFree

Multiple Choice

Q 41Q 41

Note the expression: y = A/x

^{2}. Which statement is most consistent with this expression? A) y is less than A B) if x is doubled, y is multiplied by a factor of four C) if x is halved, y is multiplied by a factor of four D) y is greater than xFree

Multiple Choice

Free

Multiple Choice

Q 43Q 43

Consider the cosine of any angle between 35° and 40°. If the angle were doubled, what would happen to the cosine of the angle.
A) It would halve.
B) It would decrease to less than half its original value.
C) It would decrease but be more than half its original value.
D) In different cases, it could do any of the above.

Free

Multiple Choice

Q 44Q 44

A high fountain of water is in the center of a circular pool of water. You walk the circumference of the pool and measure it to be 170 meters. You then stand at the edge of the pool and use a protractor to gauge the angle of elevation of the top of the fountain. It is 51°. How high is the fountain?
A) 17 m
B) 23 m
C) 30 m
D) 33 m

Free

Multiple Choice

Q 45Q 45

A right triangle has sides 5.0 m, 12 m, and 13 m. The largest angle not 90° of this triangle is nearest:
A) 21°.
B) 23°.
C) 67°.
D) Not attainable since this is not a right triangle.

Free

Multiple Choice

Q 46Q 46

If = 90° - , what is the value of sin

^{2} + sin^{2}? A) 0 B) 1 C) 1 D) The answer depends on .Free

Multiple Choice

Q 47Q 47

A triangle has sides of lengths 14 cm and 50 cm. If the triangle is a right triangle, which of the following could be the length of the third side?
A) 26 cm
B) 36 cm
C) 48 cm
D) 64 cm

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Multiple Choice

Q 48Q 48

A train slowly climbs a 600-m mountain track which is at an angle of 10.0° with respect to the horizontal. How much altitude does it gain?
A) 86.8 m
B) 104 m
C) 106 m
D) 492 m

Free

Multiple Choice

Free

Multiple Choice

Q 50Q 50

Suppose the interior angles of a triangle are , , and , with . Which side of the triangle is the shortest?
A) The side opposite .
B) The side opposite .
C) The side opposite .
D) More information is needed unless the triangle is a right triangle.

Free

Multiple Choice

Free

Multiple Choice

Q 52Q 52

Each edge of a cube has a length of 50.8 cm. What is the length of a diagonal of the cube going through the center of the cube?
A) 20.0 in
B) 28.8 in
C) 34.6 in
D) 50.8 in

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Multiple Choice

Q 53Q 53

If point A is located at coordinates (2, 3) and point B is located at coordinates (3, 9), what is the distance from A to B if the units of the coordinated system are meters?
A) 17 m
B) 10 m
C) 13 m
D) 20 m

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Multiple Choice

Q 54Q 54

Vectors have magnitudes 6, 11, and 22. When these vectors are added, what is the least possible magnitude of their addition?
A) 25
B) 15
C) 5
D) 3

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Multiple Choice

Q 55Q 55

Four vectors all have the same magnitude. Vector 1 is at 30, Vector 2 is at 110, vector 3 is at 240, and Vector 4 is at 315. Which vector has the greatest magnitude x component and which vector has the least magnitude y component?
A) Vector 1, Vector 2
B) Vector 4, Vector 4
C) Vector 1, Vector 1
D) Vector 3, Vector 2

Free

Multiple Choice

Q 56Q 56

Vector 1 is 7 units long and is at 70. Vector 2 is 5 units long and is at 155. Vector 3 is 3 units long and is at 225. Which vector has equal magnitude components?
A) Vector 1
B) Vector 2
C) Vector 3
D) None of the vectors has equal magnitude components.

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Multiple Choice

Q 57Q 57

Which type of quantity is characterized by both magnitude and direction?
A) scalar
B) vector
C) trigonometric
D) algebraic variable

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Multiple Choice

Q 58Q 58

Which of the following is an example of a vector quantity?
A) velocity
B) temperature
C) volume
D) mass

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Multiple Choice

Q 59Q 59

When we subtract a velocity vector from another velocity vector, the result is:
A) another velocity.
B) an acceleration.
C) a displacement.
D) a scalar.

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Multiple Choice

Q 60Q 60

Of vectors with lengths 5 m, 3 m, and 4 m, which has the greatest magnitude x component?
A) the one with length 5 m
B) the one with length 3 m
C) the one with length 4 m
D) It could be any of the three.

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Multiple Choice

Q 61Q 61

A student adds two vectors with magnitudes of 200 and 70. Which one of the following is the only possible choice for the magnitude of their sum?
A) 100
B) 280
C) 200
D) 70

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Multiple Choice

Q 62Q 62

Vector points north and vector points east. If , then vector points:
A) north of east.
B) south of east.
C) north of west.
D) south of west.

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Multiple Choice

Q 63Q 63

Vector is 5 m long and vector is 12 m long. The length of the sum of the vectors must be:
A) some value from 7 m to 17 m.
B) 13 m.
C) 17 m.
D) 8 m.

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Multiple Choice

Q 64Q 64

When three vectors are added graphically and form a closed triangle, the largest enclosed angle between any two of the vectors cannot be greater than:
A) 60.
B) 90.
C) 180.
D) No maximum exists.

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Multiple Choice

Q 65Q 65

In a 2-dimensional Cartesian coordinate system the y component of a given vector is equal to that vector's magnitude multiplied by which trigonometric function, with respect to the angle between vector and x axis?
A) sine
B) cosine
C) tangent
D) cotangent

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Multiple Choice

Q 66Q 66

In a 2-dimensional Cartesian coordinate system the x component of a given vector is equal to that vector's magnitude multiplied by which trigonometric function, with respect to the angle between vector and y axis?
A) sine
B) cosine
C) tangent
D) cotangent

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Multiple Choice

Q 67Q 67

In a 2-dimensional Cartesian system, the y component of a vector is known, and the angle between vector and x axis is known. Which operation is used to calculate the magnitude of the vector (taken with respect to the y component)?
A) dividing by cosine
B) dividing by sine
C) multiplying by cosine
D) multiplying by sine

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Multiple Choice

Q 68Q 68

A taxicab moves five blocks due north, five blocks due east, and another three blocks due north. Assume all blocks are of equal size. How far is the taxi from its starting point?
A) 13 blocks
B) 9.4 blocks
C) 9.2 blocks
D) 8.6 blocks

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Multiple Choice

Q 69Q 69

Find the sum of the following two vectors: (i) 50 units due east and (ii) 100 units 30 south of west.
A) 100 units 30 south of west
B) 62 units 54 south of west
C) 87 units 60 south of west
D) 62 units 15 south of west

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Multiple Choice

Q 70Q 70

Arvin the Ant travels 30 cm eastward, then 25 cm northward, and finally 10 cm westward. In what direction is Arvin now in with respect to his starting point?
A) 59 N of E
B) 29 N of E
C) 29 N of W
D) 51 N of E

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Multiple Choice

Q 71Q 71

Vector is 3.0 units in length and points along the positive x axis; vector is 5.0 units in length and points along a direction 150 from the positive x axis. What is the magnitude of the resulting vector when vectors and are added?
A) 7.0
B) 6.7
C) 2.8
D) 2.1

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Multiple Choice

Q 72Q 72

Vector is 3.0 units in length and points along the positive x axis; vector is 5.0 units in length and points along a direction 150 from the positive x axis. What is the direction of their sum with respect to the positive x axis?
A) 62
B) 13
C) 118
D) 103

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Multiple Choice

Q 73Q 73

I walk six miles in a straight line in a direction north of east, and I end up four miles north and several miles east. How many degrees north of east have I walked?
A) 19
B) 42
C) 60
D) 71

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Multiple Choice