# Quiz 1: Systems of Measurement

Physics & Astronomy

Q 1Q 1

Which of the following is a fundamental unit of the SI system of units?
A) kilometer
B) joule
C) kilogram
D) gram
E) newton

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C

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D

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D

Q 4Q 4

Which of the following is NOT one of the fundamental physical quantities in the SI system?
A) mass
B) length
C) force
D) time
E) All of these are fundamental physical quantities in the SI system.

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Q 11Q 11

The prefix "nano" means
A) 10

^{-12 }B) 10^{-6 }C) 10^{-3 }D) 10^{-2 }E) None of these is correct.Free

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Q 12Q 12

Which of the following prefixes does NOT represent a fractional part of a whole unit?
A) nano
B) micro
C) kilo
D) milli
E) deci

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Q 13Q 13

Which of the following prefixes does NOT represent a quantity larger than a single unit?
A) kilo
B) mega
C) giga
D) tera
E) femto

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Q 14Q 14

Which of the following is NOT one of the fundamental units in the SI system?
A) Newton
B) meter
C) kilogram
D) second
E) All of the above are fundamental units in the SI system.

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Q 15Q 15

The fundamental physical quantities are
A) mass, length, time, temperature, amount of a substance, current, and luminous intensity.
B) weight, length, time, temperature, amount of a substance, current, and luminous intensity.
C) mass, length, time, temperature, force, current, and luminous intensity.
D) mass, length, time, force, momentum, amount of a substance, and current.
E) weight, length, time, temperature, amount of a substance, potential energy, and luminous intensity.

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Q 16Q 16

The density of seawater was measured to be 1.07 g/cm

^{3}. This density in SI Units is A) l.07 10^{-3}kg/m^{3 }B) (1/1.07) 10^{3}kg/m^{3 }C) 1.07 10^{3}kg D) 1.07 10^{-3}kg E) 1.07 10^{3}kg/m^{3 }Free

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Q 17Q 17

To convert a quantity from km/h to m/s, you must
A) multiply by 1000 and divide by 60.
B) multiply by 1000 and divide by 3600.
C) multiply by 60 and divide by 1000.
D) multiply by 3600 and divide by 1000.
E) None of these is correct.

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Q 18Q 18

To convert a quantity from m/s to km/h, you must
A) multiply by 1000 and divide by 60.
B) multiply by 1000 and divide by 3600.
C) multiply by 60 and divide by 1000.
D) multiply by 3600 and divide by 1000.
E) None of these is correct.

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Q 19Q 19

To convert a quantity from km/(hr · s) to m/s

^{2}, you must A) multiply by 1000 and divide by 60. B) multiply by 60 and divide by 3600. C) multiply by 60 and divide by 1000. D) multiply by 3600 and divide by 1000. E) None of these is correct.Free

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Q 20Q 20

To convert a quantity from g/cm

^{3}to kg/m^{3}, you must A) multiply by 0.01. B) multiply by 100. C) multiply by 1000. D) multiply by 0.001. E) multiply by 1,000,000.Free

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Q 21Q 21

In doing a calculation, you arrive at an expression in which the numerator is in kilometers and the denominator is in meters per second. When the calculation is completed, the result will be in units of
A) meters, if you divide by 1000.
B) meters, if you multiply by 1000.
C) seconds, if you divide by 1000.
D) seconds, if you multiply by 1000.
E) meters squared per second, if you multiply by 1000.

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Q 22Q 22

You are traveling at a speed of 80 km/hr. Your speed in mph is approximately
A) 30

^{ }B) 40^{ }C) 50^{ }D) 60 E) 70Free

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Q 23Q 23

In doing a calculation, you end up with a fraction having m/s in the numerator and m/s

^{2}in the denominator. The result will have units of A) m^{2}/s^{3 }B) s^{-1 }C) s^{3}/m^{2 }D) s E) m/sFree

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Q 24Q 24

The density of an object equals its mass divided by its volume. The mass of Earth is 6 10

^{24}kg and its radius is 4 10^{3}miles. The mass of the Sun is 2 10^{33}g and its radius is 7 10^{5}km. Calculate the Earth's density divided by that of the Sun. A) 4 10^{}^{1 }B) 4 10^{2 }C) 4 10^{0 }D) 4 10^{1 }E) none of the aboveFree

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Q 25Q 25

The dimensions of mass density are
A) MLT

^{-1 }B) ML^{3 }C) ML^{2 }D) ML^{-1 }E) None of these is correct.Free

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Q 26Q 26

The dimensions of two quantities MUST be identical if you are either __________ or __________ the quantities.
A) adding; multiplying
B) subtracting; dividing
C) multiplying; dividing
D) adding; subtracting
E) All of these are correct.

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Q 27Q 27

In the expression F

_{net}= ma, m must have the dimensions A) ML/T^{2 }B) M C) L/T^{2 }D) L/T E) ML^{2}/T^{2 }Free

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Q 28Q 28

If K has dimensions ML

^{2}/T^{2}, the k in K = kmv^{2}must A) have the dimensions ML/T^{2}. B) have the dimensions M. C) have the dimensions L/T^{2}. D) have the dimensions L^{2}/T^{2}. E) be dimensionless.Free

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Q 29Q 29

If x and t represent distance and time, respectively, the C in x =

^{1}/2Ct^{2}must A) have the dimensions ML/T^{2}. B) have the dimensions M. C) have the dimensions L/T^{2}. D) have the dimensions L^{2}/T^{2}. E) be dimensionless.Free

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Q 30Q 30

If v and t represent velocity and time, respectively, C

_{1}in v = C_{1}e^{-C}2^{t}must A) have the dimensions L/T. B) have the dimensions L^{2}/T. C) have the dimensions L/T^{2}. D) have the dimensions L^{2}/T^{2}. E) be dimensionless.Free

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Q 31Q 31

If v and t represent velocity and time, respectively, C

_{2}in v = C_{1}e^{-C}2^{t }must A) have the dimensions L/T. B) have the dimensions 1/T. C) have the dimensions L/T^{2}. D) have the dimensions L^{2}/T^{2}. E) be dimensionless.Free

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Q 32Q 32

If x and t represent position and time, respectively, the A in x = A cos Bt must
A) have the dimensions L/T.
B) have the dimensions 1/T.
C) have the dimensions L.
D) have the dimensions L

^{2}/T^{2}. E) be dimensionless.Free

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Q 33Q 33

If x and t represent position and time, respectively, the B in x = A cos Bt must
A) have the dimensions L/T.
B) have the dimensions 1/T.
C) have the dimensions L.
D) have the dimensions L

^{2}/T^{2}. E) be dimensionless.Free

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Q 34Q 34

In Newton's Law of Gravity the universal gravitational constant G = Fr

^{2}/m_{1}m_{2}, where F is the gravitational force between the two masses, m_{1}and m_{2}, and r is the distance between them. What are the dimensions of G? A) L^{2}M^{}^{1}T^{2 }B) L^{3}M^{}^{1}T^{}^{2 }C) L^{2}M^{}^{2}T^{}^{2 }D) L^{3}M^{}^{1}T^{2 }E) L^{}^{3}M^{1}T^{3 }Free

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Q 35Q 35

The dimensions of energy, E, are ML

^{2}/T^{2}. Using dimensional analyzes, E is the product of which two quantities? A) Mass divided by time squared B) Force times acceleration C) Mass times acceleration D) force times distance E) force divided by time squaredFree

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Q 36Q 36

Evaluate:
(4)0 10

^{-6})(3.0 10^{4}) A) 12 10^{10 }B) 1.2 10^{-10 }C) 12 10^{-5 }D) 1.2 10^{-1 }E) 12 10^{-10 }Free

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Q 38Q 38

Compute:
A) 1 10

^{17 }B) 6 10^{7 }C) 8 10^{17 }D) 4 10^{7 }E) None of these is correct.Free

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Q 39Q 39

Compute:
A) 3.3 10

^{-6 }B) 5.1 10^{6 }C) 5.1 10^{-12 }D) 3.3 10^{-1 }E) None of these is correct.Free

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Q 40Q 40

When we look up in the sky the Sun appears about as big as the moon; however, we know that the Sun is much further away. Given that the radius of the Sun is about 7 10

^{8}m and that the radius of the moon is about 2 10^{6}m, calculate approximately the number of times the moon could fit inside the Sun. A) 4 10^{2 }B) 4 10^{6 }C) 4 10^{7 }D) 1 10^{5 }E) 2 10^{5 }Free

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Q 41Q 41

Compute:
(12 10

^{6} 2 10^{7}) / (12 10^{7}+ 7 10^{6}) A) 7.1 10^{}^{2 }B) 7.0 10^{6 }C) 2.0 10^{}^{8 }D) 7.1 10^{}^{2 }E) 2 10^{5 }Free

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Q 42Q 42

The measurement 5.130 10

^{-4}has _____ significant figures. A) two B) three C) one D) seven E) fourFree

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Q 43Q 43

The measurement 23.0040 has _____ significant figures.
A) six
B) three
C) five
D) four
E) two

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Q 44Q 44

The number of seconds in a month is of the order of
A) 10

^{3 }B) 10^{8 }C) 10^{5 }D) 10^{10 }E) 10^{6 }Free

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Q 45Q 45

Earth's population, expressed as an order of magnitude, is closest to
A) 10

^{6}^{ }B) 10^{10 }C) 10^{5 }D) 10^{8 }E) 10^{7 }Free

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Q 46Q 46

The chemical agent dioxin can be toxic or hazardous to humans in concentrations as small as one part per billion. If I am testing a soil sample that has a mass of 1.0 kg, how much dioxin would have to be present for me to label it toxic or hazardous?
A) a picogram
B) a kilogram
C) a microgram
D) a milligram
E) a nanogram

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Q 47Q 47

An impurity in a manufacturing process will cause a batch to be rejected if the impurity exceeds one part per million. What is the maximum amount of impurity that could be present if the batch contains 100 kg of the product?
A) 100 micrograms
B) 100 nanograms
C) 100 grams
D) 100 megagrams
E) 100 milligrams

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Q 48Q 48

What is the order of magnitude of Earth's tallest mountain heights?
A) 10

^{8}m B) 10^{4}m C) 10^{6}m D) 10^{3}m E) 10^{5}mFree

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Q 49Q 49

The longest bridge on Earth is of the order of
A) 10

^{3 }m B) 10^{4 }m C) 10^{5 }m D) 10^{6 }m E) 10^{7 }mFree

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Q 50Q 50

A person inhales about 1 L of air per breathe. Estimate the number of air molecules inhaled.
A) 10

^{10}B) 10^{14}C) 10^{18}D) 10^{22}E) 10^{26}Free

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Q 51Q 51

Estimate the number of raindrops needed to fill a volume of 1m 1m 1cm.
A) 10

^{3 }B) 10^{5}^{ }C) 10^{7}^{ }D) 10^{9}^{ }E) 10^{11}^{ }Free

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Q 52Q 52

Light travels at 3 10

^{8}m/s, and it takes about 8 min for light from the sun to travel to Earth. Based on this, the order of magnitude of the distance from the sun to Earth is A) 10^{10}m B) 10^{8}m C) 10^{9}m D) 10^{6}m E) 10^{11}mFree

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Q 53Q 53

The momentum of a body is defined to be the product of its mass and its velocity. If the mass of an air-track glider is known to be 225 g and its velocity is measured to be 3.1 cm/s, its momentum should be reported as
A) 697.5 g · cm/s
B) 698 g · cm/s
C) 7.0 10

^{2}g · cm/s D) 6.98 10^{2}g · cm/s E) 6.975 10^{2}g · cm/sFree

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Q 54Q 54

The net force acting on a body is defined to be the product of the mass of the body and its resultant acceleration. If the mass of a body is known to be 184 kg and its acceleration is measured to be 2.4 m/s

^{2}, the resultant force should be reported as A) 4.4 10^{2}kg · m/s^{2 }B) 441.6 kg · m/s^{2 }C) 442 kg · m/s^{2 }D) 4.416 kg · m/s^{2 }E) 4.42 10^{2}kg · m/s^{2 }Free

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Q 55Q 55

Which of the following represents a value of current measured to at least five significant figures?
A) 2.375 10

^{4}A B) 0.00347 A C) 3.0 10^{5}A D) 23.75 10^{1}A E) 50.300 AFree

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Q 56Q 56

The size of a proton is of the order of 10

^{-15}m and the size of the visible universe is of the order of 10^{26}m. From this information you can conclude that A) the size of the universe is 26 orders of magnitude greater than that of the proton. B) the size of the universe is 41 orders of magnitude greater than that of the proton. C) the size of the proton is 11 orders of magnitude greater than that of the universe. D) the size of the universe is 15 orders of magnitude greater than that of the proton. E) the size of the proton is 15 orders of magnitude greater than that of the universe.Free

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Q 57Q 57

The mass of an electron is of the order of 10

^{-30}kg and the mass of the universe is believed to be of the order of 10^{52}kg. From this information you can conclude that A) the mass of Earth is 52 orders of magnitude greater than that of the electron. B) the mass of Earth is 30 orders of magnitude greater than that of the electron. C) the mass of the electron is 82 orders of magnitude greater than that of Earth. D) the mass of Earth is 82 orders of magnitude greater than that of the electron. E) the mass of the electron is 30 orders of magnitude greater than that of Earth.Free

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Q 58Q 58

Light travels at 3 10

^{8}m/s, and the size of a proton is about 1 fm. Calculate the order of magnitude for the time taken for light to pass across a proton. A) 10^{}^{7}s B) 10^{}^{8}s C) 10^{}^{22}s D) 10^{}^{23}s E) 10^{23}sFree

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Q 59Q 59

If Earth is approximately 4.5 billion years old, estimate the order of magnitude for the number of times it has rotated about its own axis. (Assume a constant rate of rotation.)
A) 10

^{9 }B) 10^{10 }C) 10^{11 }D) 10^{12 }E) 10^{14 }Free

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Q 60Q 60

If you have a music CD collection of about 150 discs, estimate the order of magnitude of the number of heartbeats you would have if you listened all the way through your collection.
A) 10

^{6 }B) 10^{8 }C) 10^{10 }D) 10^{4 }E) 10^{3 }Free

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Q 61Q 61

A diehard music lover still prefers to listen to his vinyl records, which rotate at 33 revolutions per minute. If he listens for an average of three hours per day, estimate the order of magnitude for the number of revolutions his turntable makes in a year.
A) 10

^{7 }B) 10^{2 }C) 10^{6 }D) 10^{5 }E) 10^{4 }Free

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Q 62Q 62

The vector equation that describes the relationship among vectors , , and is
A) = +
B) = -
C) = -
D) = -
E) = +

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Q 64Q 64

Which of the following vector equations correctly describes the relationship among the vectors shown in the figure?
A) + - = 0
B) - + = 0
C) - - = 0
D) + + = 0
E) None of these equations is correct.

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Q 65Q 65

The angle between vectors and is 30º, and their sum is . Which vector diagram correctly describes the vectors , , and ?
A) 1
B) 2
C) 3
D) 4
E) 5

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Q 66Q 66

Two vector quantities, whose directions can be altered at will, can have a resultant of any magnitude between the limits 0 and 200. The magnitude of each vector quantity must therefore be
A) between 0 and 80.
B) between 120 and 200.
C) less than 100.
D) exactly 100.
E) more than 100.

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Q 67Q 67

Two vector quantities, whose directions can be altered at will, can have a resultant between the limits 5 and 15. The magnitudes of these two vector quantities could be
A) 2 and 2
B) 5 and 10
C) 20 and 40
D) 20 and 50
E) 59 and 97

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Q 68Q 68

The components of a vector are A

_{x}= -10 units and A_{y}= 6 units. What angle does this vector make with the positive x axis? A) 31º B) -31º C) 180º - 31º D) 180º + 31º E) 90º - 31ºFree

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Q 69Q 69

What is the least number of non-zero vectors that can be added to give a resultant equal to zero?
A) 2
B) 3
C) 4
D) 5
E) It cannot be done.

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Q 70Q 70

Three vectors , , and have the following x and y components: x component
+6
-3
+2
Y component
-3
+4
+5
The angle that the resultant makes with the positive direction of the x axis is
A) 1.2º
B) 36º
C) 50º
D) 40º
E) 70º

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Q 71Q 71

A car proceeding due south at 60 km/h (

_{1}) makes a right turn, after which it is traveling due west at 80 km/h (_{2}). What is its change in velocity (_{2}-_{1})? A) 100 km/h 37º north of west B) 100 km/h 37º south of west C) 20 km/h west D) 20 km/h 37º north of west E) 20 km/h 37º south of westFree

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Q 72Q 72

Two vectors and are added to give a resultant . The components of are A

_{x}= -8.0 units and A_{y}= 6.0 units and the components of are B_{x}= 1.0 units and B_{y}= -1.0 units. The magnitude of vector is A) -1.0 units B) +8.6 units C) +19 units D) +2.0 units E) -3.2 unitsFree

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Q 73Q 73

Vector has components A

_{x}= +4.0 units and A_{y}= +3.2 units, whereas vector has components B_{x}= +2.5 units and B_{y}= +5.5 units. The angle between the two vectors is A) 24º B) 65º C) 27º D) 39º E) 14ºFree

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Q 74Q 74

Vectors and have the following components:
A

_{x}= 5 units A_{y}= 2 units B_{x}= 3 units B_{y}= 4 units The angle between the positive x axis and the vector - is A) -45º B) 194º C) 37º D) -54º E) 86ºFree

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Q 75Q 75

What angle does the vector = 3 - 4 + 5 make with the positive z axis?
A) 55.5º
B) 45.0º
C) 64.9º
D) 34.5º
E) 25.1º

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Q 76Q 76

The length of the vector = 5 + 12 is
A) 169 units
B) 144 units
C) 25 units
D) 17 units
E) None of these is correct.

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Q 77Q 77

Given vector , the vector 3
A) has a magnitude 3 times that of .
B) points in the same direction as .
C) has components each of which is 3 times those of .
D) makes the same angle with a given axis as does .
E) is described by all of these.

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Q 78Q 78

What angle does the vector = 5 - 12 make with the positive x axis?
A) 67.4º
B) 22.6º
C) 36.9º
D) 53.1º
E) 24.6º

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Q 79Q 79

A velocity vector has an x component of +5.5 m/s and a y component of -3.5 m/s. The diagram that gives the direction of the vector is
A) 1
B) 2
C) 3
D) 4
E) None of these is correct.

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Q 80Q 80

A vector of magnitude 5 points in the +y direction. Another vector of magnitude 4 is added to the first vector. The largest possible magnitude of the sum is
A) 1

^{ }B) 4 C) 5 D) 9 E) 10^{ }Free

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Q 81Q 81

A vector of magnitude 5 points in the +y direction. Another vector of magnitude 4 is subtracted from the first vector. The smallest possible magnitude of the sum is
A) 1

^{ }B) 4 C) 5 D) 9 E) 10^{ }Free

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Q 82Q 82

Three vectors and are added together. Which statement below best describes the additive property of the three vectors?
A)
B)
C)
D)
E) all the other statements

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Q 83Q 83

The components of a vector
A) are not unique.
B) depend on the axes chosen.
C) can have one of the components equal to zero.
D) can be negative.
E) All of the above.

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Q 84Q 84

A vector A is shown below. The x and y components of the vector are, respectively,
A) (A sin , A cos ) or (A sin , A cos )
B) (A sin , A cos ) or (A cos , A sin )
C) (A sin , A sin ) or (A sin , A cos )
D) (A cos , A cos ) or (A sin , A cos )
E) (A cos , A cos ) or (A cos , A cos )

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Q 85Q 85

If the resultant vector of the sum of three vectors is zero, the three vectors must have the following property.
A) The sum of each component of the three vectors is zero.
B) The sum of any two vectors is the negative of the third vector.
C) All three vectors lie in the same plane.
D) The magnitude of the sum of any two vectors is equal to the magnitude of the third vector.
E) All the above are correct.

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Q 86Q 86

Which of the following is NOT a vector?
A) velocity
B) acceleration
C) displacement
D) mass
E) force

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