Deck 1: Introduction

Question 1

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.

Answer 1

m/s.

Question 2

The ratio T/m of the prefixes M and m has what value?

A) 10¹⁶
B) 10¹⁴
C) 10¹⁵
D) 10¹³
E) ​10¹⁷

Answer 2

10¹⁵

Question 3

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

A) v/t²
B) vx²
C) v²/t
D) at

Answer 3

at

Question 4

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) v²/x
C) x/t
D) v²t

Question 5

Suppose an equation relating position,x,to time,t,is given by x = b t³ + c t⁴,where b and c are constants.The dimensions of b and c are respectively:

A) T³,T⁴.
B) 1/T³,1/T⁴.
C) L/T³,L/T⁴.
D) L²⋅T³,L²⋅T⁴.

Question 6

When was the existence of the neutron confirmed?

A) in ancient times
B) in 1895
C) in 1932
D) in 1969

Question 7

Calculate (0.73+0.071)(3.3 x 103), keeping only significant figures.

A) 2600
B) 2643
C) 2661
D) ​2419
E) ​3000

Question 8

Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 15.0 x 5.6 x 2.33?

A) 200
B) 195.720
C) 195.72
D) ​195.7
E) ​196

Question 9

Since 1983 the standard meter has been defined in terms of which of the following?
​

A) specific alloy bar housed at Sevres,France
B) wavelength of light emitted by krypton-86
C) distance from the Earth's equator to the North Pole
D) the distance light travels in a certain fraction of a second
E) None of the above

Question 10

The prefixes which are abbreviated f,d,and T represent which of the following?

A) 10^-30,10^-2,and 10²⁴
B) 10^-15,10²,and 10²⁴
C) 10^-15,10^-1,and 10¹²
D) 10^-13,10²,and 10²⁴
E) 1​0^-30,10^-1,and 10^-2

Question 11

Areas always have dimensions ____ while volumes always have dimensions ____.

A) m²,m³
B) L²,L³
C) Both a and b are correct.
D) No answer is correct because of the "always."

Question 12

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

Question 13

The nuclei of atoms contain

A) electrons only.
B) neutrons only.
C) protons and electrons.
D) protons and neutrons.

Question 14

If a is acceleration,v is velocity,x is position,and t is time,then which equation is not dimensionally correct?

A) t = x/v
B) a = v²/x
C) v = a/t
D) t² = 2x/a

Question 15

The number 0.03 has how many significant figures?

A) 2
B) 3
C) 5
D) 6
E) ​7

Question 16

The length and width of a standard sheet of paper is measured,and then the area is found by calculation to be 91.50 in².The number of significant figures in the width measurement must be at least:

A) 1.
B) 2.
C) 3.
D) 4.
E) ​5

Question 17

Since 1967 the standard definition for the second has been based on which of the following?

A) characteristic frequency of the cesium-133 atom
B) average solar day
C) sidereal day
D) Greenwich Civil Time
E) None of the above

Question 18

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) acceleration
B) length
C) time
D) area

Question 19

The proton contains which of the following combination of quarks?

A) two up quarks and one down quark
B) one up quark and two down quarks
C) one top quark and two bottom quarks
D) two top quarks and one bottom quark

Question 20

Which one of the choices below represents the preferred practice regarding significant figures when adding the following: 14.4+13+55.12+2.774?

A) ​85.2940
B) ​85.294
C) ​85.29
D) ​85.3
E) ​85

Question 21

Assume when using a meter stick measuring can be done so that the last significant figure is in the tenth of a millimeter digit.If you are measuring an object with length between 25 and 53 cm,how many significant figures will result if you only use the part of the meter stick between the 3- and 85-cm positions?

A) 1
B) 2
C) 3
D) 4
E) ​more than 4

Question 22

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

A) 10 × 10¹⁵ m
B) 1 × 10¹⁸ m
C) 2 × 10²² m
D) 6 × 10¹² m

Question 23

On planet Q the standard unit of volume is called the guppy.Space travelers from Earth have determined that one liter = 36.6 guppies.How many guppies are in 100 liters?

A) 3,660 guppies
B) 3,696.6 guppies
C) 3,560 guppies
D) 3,760 guppies
E) ​3,623.4 guppies

Question 24

A cereal box has the dimensions of 0.18 m × 0.24 m × 0.080 m.If there are 3.28 feet per meter,then what is the volume of the box in cubic feet?

A) 0.12 cubic feet
B) 0.04 cubic feet
C) 0.42 cubic feet
D) 0.0113 cubic feet
E) ​0.021 cubic feet

Question 25

How many significant figures does the number 3 600 have?

A) 1
B) 2
C) 3
D) 4
E) ​One cannot tell with certainty when the number is written in the given form,but it will be one of the other given answers.

Question 26

Assume everyone in the United States consumes one soft drink in an aluminum can every two days.If there are 280 million Americans,how many tons of aluminum need to be recycled each year if each can weighs 1/17 pound and one ton = 2000 pounds?

A) 412000 tons
B) 1.5 million tons
C) 3 million tons
D) 1 million tons
E) ​376000 tons

Question 27

The mass of the sun is 2.0 × 10³⁰ 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 × 10⁵⁶ atoms
B) 3.4 × 10⁵⁶ atoms
C) 1.2 × 10⁵⁷ atoms
D) 2.4 × 10⁵⁷ atoms

Question 28

A furlong is a distance of 180 yards.A fortnight is a time period of two weeks.A race horse is running at a speed of 7 yards per second.What is his speed in furlongs per fortnight?
​

A) 47,040 furlongs/fortnight
B) 6,720 furlongs/fortnight
C) 47,140 furlongs/fortnight
D) 47,340 furlongs/fortnight
E) 46,840 furlongs/fortnight

Question 29

Assume when using a meter stick measuring can be done so that the last significant figure is in the tenth of a millimeter digit.If you are measuring an object with length between 8 and 9 cm,how many significant figures will result if you only use the part of the meter stick between the 82- and 93-cm positions?

A) 0
B) 2
C) 3
D) 4
E) ​more than 4

Question 30

Water flows into a swimming pool at the rate of 7 gal/min.The pool is 16 ft wide,31 ft long and 8 ft deep.How long does it take to fill? (1 U.S.gallon = 231 cubic inches)

A) 35.5 hours
B) 71 hours
C) 70 hours
D) 142 hours
E) ​710 hours

Question 31

A cement truck can pour 120 cubic yards of cement per hour.Express this in ft³/min.

A) 360 ft³/min
B) 2.00 ft³/min
C) 18 ft³/min
D) 6 ft³/min
E) ​54

Question 32

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 × 10⁸ m/s. )

A) 240 000 km
B) 384 000 km
C) 480 000 km
D) 768 000 km

Question 33

A physics class in a large lecture hall has 150 students.The total mass of the students is about ____ kg.

A) 10⁴
B) 10⁵
C) 10⁶
D) 10⁷
E) ​10⁸

Question 34

Assume when using a meter stick measuring can be done so that the last significant figure is in the tenth of a millimeter digit.If you are measuring an object with length between 6 and 7 cm,how many significant figures will result if you only use the part of the meter stick between the 1-cm and 9-cm positions?

A) 2
B) 3
C) 4
D) 5
E) ​more than 5

Question 35

An apartment has 1100 ft² of floor space.What is the approximate volume of the apartment?
​

A)10³ft³
B) 10⁴ ft³
C) 10⁵ ft³
D) 10⁶ ft³
E) ​10⁷ ft³

Question 36

The information on a one-gallon paint can is that the coverage,when properly applied,is 452 ft².One gallon is 231 in³.What is the average thickness of the paint in such an application?

A) 0.0035 in
B) 0.5111 in
C) 0.0426 in
D) 0.0136 in
E) ​0.1631 in

Question 37

On planet Z,the standard unit of length is the foose.Ann the Astronaut is 5.80 feet tall on earth.She lands on planet Z and is measured to be 86 foosi tall.Her partner Rachael is 89 foosi tall.How tall is Rachael on Earth?
​

A) 6.5 feet
B) 6 feet
C) 5.80 feet
D) 5.7 feet
E) 6.2​ feet

Question 38

Which point is nearest the x-axis?

A) ​(1,7)
B) (-3,-6)
C) ​(-7,5)
D) ​(-6,-4)
E) ​(2,3)

Question 39

Multiplying a 2 significant figure number by a 4 significant figure number and then dividing the product by a seven significant figure number yields a number with how many significant figures?

A) 6/7
B) 1
C) 2
D) 13
E) ​8/7

Question 40

In the text are the following conversion factors:
i.1 mi = 1 609 m
ii.1 m = 39.37 in.
iii.1 ft = 30.48 cm
iv.1 in.= 2.54 cm
The 1 on the left hand side is assumed to have the same number of significant figures as the number on the right hand side of each of these equations.However,2 of these conversion factors are exact,and this means they have the equivalent of an unlimited number of significant figures when used in calculations.Which 2 are the exact conversion factors?

A) i and ii
B) i and iii
C) ii and iii
D) iii and iv

Question 41

A triangle has sides of length 7 cm and 11 cm.If the triangle is a right triangle,which of the following could be the length of the third side?

A) 11 cm
B) 8 cm
C) 16 cm
D) 17 cm
E) ​7 cm

Question 42

Doubling the radius of a sphere results in increasing its volume by a factor of
​

A) 2
B) 4
C) 8
D) 8 π

Question 43

The basic function of an automobile's carburetor is to atomize the gasoline and mix it with air to promote rapid combustion.Assume that 25cm³ of gasoline is atomized into N spherical droplets.Each droplet has a radius of 1.0 × 10−⁵ m.Find the total surface area of these N spherical droplets.
​

A) 25,000 cm²
B) 100,000 cm²
C) 150,000 cm²
D) 75,000 cm²
E) ​87,500 cm²

Question 44

Note the expression: y = x².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 quadruples.

Question 45

A right triangle has sides 10 m,5 m,and 11 m.The smallest angle of this triangle is nearest:

A) 32°.
B) 27°.
C) 22°.
D) 63°.
E) ​Not attainable since this is not a right triangle.

Question 46

Each edge of a cube has a length of 38.1 cm.What is the length of a diagonal of the cube going through the center of the cube?

A) 28.0 in
B) 26.0 in
C) 29.5 in
D) 24.5 in
E) ​66.0 in

Question 47

For which of the values below is x > x⁷?

A) x = -2.0
B) x = 0
C) x = 1.0
D) x = 2.0
E) ​x = 4.0

Question 48

Modern electroplaters can cover a surface area of 60.0 m² with one troy ounce of gold (volume = 1.611 cm³).What is the thickness of the electroplated gold?

A) 2.69 × 10−⁸ m
B) 1.35 × 10−⁹ m
C) 1.79 × 10−⁶ m
D) 5.38 × 10−⁷ m
E) ​None of the above

Question 49

If ϕ = 90° − θ,what is the value of sin² ϕ + sin² θ?

A) 0
B) 1
C) −1
D) ​The answer depends on θ.

Question 50

Note the expression: y = A/x³.Which statement is most consistent with this expression?

A) y is less than A.
B) If x is halved,y is multiplied by eight.
C) If x is doubled,y is multiplied by a factor of 8.
D) y is greater than x.

Question 51

If point A is located at coordinates (-8,1)and point B is located at coordinates (7,-3),what is the distance from A to B if the units of the coordinated system are meters?

A) 241 m
B) 16 m
C) 21 m
D) 26 m
E) ​19 m

Question 52

​Which is smallest,an atom,a nucleus,a proton,or an electron?

A) ​atom
B) ​electron
C) ​nucleus
D) ​proton

Question 53

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 190 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 55°.How high is the fountain?

A) 25 m
B) 53 m
C) 86 m
D) 43 m
E) ​48 m

Question 54

There are other ways of expressing uncertainty besides significant figures.For example,suppose a quantity is known to have a value between 20.4 and 20.0,and our best estimate of the value is midrange at 20.2.We could write the number as 20.2 +/− 0.2 and say that the number has a 1% uncertainty.We would also say it has 3 significant figures.If we square a number with 1% uncertainty and 3 significant figures,what results?

A) A number with 1% uncertainty and 3 significant figures.
B) A number with 2% uncertainty and 3 significant figures.
C) A number with 2% uncertainty and 2 significant figures.
D) A number with 1% uncertainty and 2 significant figures.

Question 55

A room in a house has a floor area of 140 ft².Which of the following is most likely the approximate volume of the room?

A) 4.55 m³
B) 45.5 m³
C) 455 m³
D) 4550 m³
E) ​13 m³

Question 56

How long has it been that scientists have accepted that the nucleus of the atom consists of neutrons and protons? Think of your answers in terms of order of magnitude.

A) about a decade
B) about a century
C) about a thousand years
D) since Aristotle

Question 57

Consider the sine of any angle between 30° and 40°.If the angle were doubled,what would happen to the sine of the angle?

A) It would double.
B) It would more than double.
C) It would increase but be less than double.
D) In different cases,it could do any of the above.

Question 58

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.

Question 59

A circle has an area of 4.0 m².A second circle has double the radius of the first.The area of the second circle is ____ times that of the first.

A) 1
B) 2.0
C) 4.0
D) 8.0
E) ​4.0

Question 60

A train slowly climbs a 450-m mountain track which is at an angle of 10.0° with respect to the horizontal.How much altitude does it gain?

A) 78.1 m
B) 225.0 m
C) 83.1 m
D) 443.2 m
E) ​450 m