Question 1

All of the following inequalities for time units are correct except

Accepted Answer

A)  1 millisecond > 1 nanosecond. 
B)  1 nanosecond > 1 microsecond. 
C)  1 second > 1 millisecond. 
D)  1 hour > 1000 seconds. 
E)  1 minute > 10 seconds. 
A)  1 millisecond > 1 nanosecond. 
B)  1 nanosecond > 1 microsecond. 
C)  1 second > 1 millisecond. 
D)  1 hour > 1000 seconds. 
E)  1 minute > 10 seconds.

Question 2

The position of an object as a function of time is given by the equation x(t) = asin(bt2 + c). The dimensions of a, b, and c are

Accepted Answer

A)  distance, angle, and angle. 
B)  distance, angle/time, and angle. 
C)  distance, angle/time2, and angle/time2. 
D)  distance, angle/time2, and angle. 
E)  angle, angle/time2, and angle. 
A)  distance, angle, and angle. 
B)  distance, angle/time, and angle. 
C)  distance, angle/time2, and angle/time2. 
D)  distance, angle/time2, and angle. 
E)  angle, angle/time2, and angle.

Question 3

A student measures the length of an object five times, each time using a different instrument. $\begin{array} { l l l l l l } 
\text { Measurement } & 1 & 2 & 3 & 4 & 5 \
\text { Length (m) } & 74.14 & 74 & 75 & 74.2 & 73.9
\end{array}$ The least precise measurement is

Accepted Answer

A)  1. 
B)  2. 
C)  3. 
D)  4. 
E)  5. 
A)  1. 
B)  2. 
C)  3. 
D)  4. 
E)  5.

Question 4

A box is 1.5 yard wide, 1.2 feet wide and 3.5 in. high. Its volume in SI units is

Accepted Answer

A)  4.5 $\times$ 10-2 m3. 
B)  4.5 m3. 
C)  1.5 $\times$ 10-2 m3. 
D)  1.5 $\times$ 10-1 m3. 
E)  3.0 $\times$ 103 m3. 
A)  4.5 $\times$ 10-2 m3. 
B)  4.5 m3. 
C)  1.5 $\times$ 10-2 m3. 
D)  1.5 $\times$ 10-1 m3. 
E)  3.0 $\times$ 103 m3.

Question 5

The position of an object as a function of time is given by the equation x(t) = at2 + bt + c. The dimensions of a, b, and c are

Accepted Answer

A)  distance, distance, and distance. 
B)  distance/time, distance/time, and distance/time. 
C)  distance, distance/time, and distance/time2. 
D)  distance·time2, distance·time, distance. 
E)  distance/time2, distance/time, distance. 
A)  distance, distance, and distance. 
B)  distance/time, distance/time, and distance/time. 
C)  distance, distance/time, and distance/time2. 
D)  distance·time2, distance·time, distance. 
E)  distance/time2, distance/time, distance.

Question 6

The sum of 1.00 m + 1531 mm + 2.54 $\times$ 10-2 km, with the correct number of significant figures is

Accepted Answer

A)  0.3 $\times$ 102 m. 
B)  27 m. 
C)  27.9 m. 
D)  27.93 m. 
E)  27.931 m. 
A)  0.3 $\times$ 102 m. 
B)  27 m. 
C)  27.9 m. 
D)  27.93 m. 
E)  27.931 m.

Question 7

A thunderstorm drops 1/4 in. of rain on a 50 mi2 area. The estimated number of fallen raindrops is

Accepted Answer

A)  1017. 
B)  107. 
C)  106. 
D)  100,000. 
E)  10-6. 
A)  1017. 
B)  107. 
C)  106. 
D)  100,000. 
E)  10-6.

Question 8

The Roosevelt Island Tramway in New York City spans the East River and connects Roosevelt Island to Manhattan. It is the only commuter aerial tramway in North America. Between two particular points, the altitude change is 50 ft when the horizontal distance between them is 100 ft. The grade (the steepness) of this portion of the path is

Accepted Answer

A)  0.35. 
B)  0.50. 
C)  1.0. 
D)  2.0. 
E)  4.0. 
A)  0.35. 
B)  0.50. 
C)  1.0. 
D)  2.0. 
E)  4.0.

Question 9

In the international system of units (SI), the official unit of length is the

Accepted Answer

A)  millimeter. 
B)  centimeter. 
C)  meter. 
D)  kilometer. 
E)  none of the above. 
A)  millimeter. 
B)  centimeter. 
C)  meter. 
D)  kilometer. 
E)  none of the above.

Question 10

If 1/3 yard is equal to 1 foot, then 1 cubic yard of volume is equal to

Accepted Answer

A)  1 cubic foot. 
B)  3 cubic feet. 
C)  9 cubic feet. 
D)  27 cubic feet. 
E)  81 cubic feet. 
A)  1 cubic foot. 
B)  3 cubic feet. 
C)  9 cubic feet. 
D)  27 cubic feet. 
E)  81 cubic feet.

Question 11

The best estimate of the volume of your body is

Accepted Answer

A)  103 l. 
B)  102 l. 
C)  10 l. 
D)  10-1 l. 
E)  10-2 l. 
A)  103 l. 
B)  102 l. 
C)  10 l. 
D)  10-1 l. 
E)  10-2 l.

Question 12

The most precise scientific standard of time is based on

Accepted Answer

A)  a specified fraction of the mean solar day. 
B)  the time taken for a specific "seconds" pendulum kept at special conditions to complete one oscillation. 
C)  a property of a particular kind of atom. 
D)  the speed of light. 
E)  the travel time of light from the nearest star. 
A)  a specified fraction of the mean solar day. 
B)  the time taken for a specific "seconds" pendulum kept at special conditions to complete one oscillation. 
C)  a property of a particular kind of atom. 
D)  the speed of light. 
E)  the travel time of light from the nearest star.

Question 13

20/20 vision is a term used to express normal visual acuity (the clarity or sharpness of vision) measured at a distance of 20 feet. If you have 20/20 vision, you can see clearly at 20 feet what should normally be seen at that distance. In European countries (that use the international system of units), the equivalent of 20/20 vision is

Accepted Answer

A)  6/6 vision 
B)  7/7 vision. 
C)  10/10 vision. 
D)  40/40 vision. 
E)  60/60 vision. 
A)  6/6 vision 
B)  7/7 vision. 
C)  10/10 vision. 
D)  40/40 vision. 
E)  60/60 vision.

Question 14

An acceptable (though perhaps unusual) unit for density is

Accepted Answer

A)  kilogram/liter. 
B)  gram/centimeter3. 
C)  pound/gallon. 
D)  kilogram/meter3. 
E)  all of the above. 
A)  kilogram/liter. 
B)  gram/centimeter3. 
C)  pound/gallon. 
D)  kilogram/meter3. 
E)  all of the above.

Question 15

If in the international system of units $[ x ] _ { \mathrm { SI } } = \mathrm { m } , [ t ] _ { \mathrm { SI } } = \mathrm { s } , [ v ] _ { \mathrm { SI } } = \mathrm { m } / \mathrm { s }$, and $[ a ] _ { \mathrm { SI } } = \mathrm { m } / \mathrm { s } ^ { 2 }$, and (i) $x$ $= v t + a$, (ii) $x = \frac { 1 } { 2 } a t ^ { 2 }$, and (iii) $t = \left( \frac { 2 x } { a } \right) ^ { \frac { 1 } { 2 } }$, the dimensionally consistent equation(s) is(are):

Accepted Answer

A)  (i), (ii), and (iii). 
B)  (i) and (iii). 
C)  (i) and (ii). 
D)  (ii) and (iii). 
E)  only (i). 
A)  (i), (ii), and (iii). 
B)  (i) and (iii). 
C)  (i) and (ii). 
D)  (ii) and (iii). 
E)  only (i).

Question 16

All of the following inequalities for length units are correct except

Accepted Answer

A)  1 millimeter > 1 centimeter. 
B)  1 meter > 1 millimeter. 
C)  1 kilometer > 1 meter. 
D)  1 centimeter > 1 micron. 
E)  1 picometer > 1 nanometer. 
A)  1 millimeter > 1 centimeter. 
B)  1 meter > 1 millimeter. 
C)  1 kilometer > 1 meter. 
D)  1 centimeter > 1 micron. 
E)  1 picometer > 1 nanometer.

Question 17

If in the international system of units the variables a, b, and c are related to each other through the equation ax = bycz, and [c]SI = s, [b]SI = m/s, and [a]SI = m/s2, the powers x, y, and z that make the equation dimensionally consistent are

Accepted Answer

A)  1, 1, and -1. 
B)  -1, -1, and 1. 
C)  2, 2, and -2. 
D)  all of the above. 
E)  none of the above. 
A)  1, 1, and -1. 
B)  -1, -1, and 1. 
C)  2, 2, and -2. 
D)  all of the above. 
E)  none of the above.

Question 18

If 1 in. is approximately equal to 2.5 cm, then 1.0 cm2 of surface area is approximately

Accepted Answer

A)  1/(6.3) in2. 
B)  1/(2.5) in2. 
C)  1.0 in2. 
D)  2.5 in2. 
E)  6.3 in2. 
A)  1/(6.3) in2. 
B)  1/(2.5) in2. 
C)  1.0 in2. 
D)  2.5 in2. 
E)  6.3 in2.

Question 19

The density of a block is defined as the ratio of the block's mass to its volume. If the mass and the volume of a block were measured to be 123.34 kg and 2.4 m3 respectively, its density is

Accepted Answer

A)  51.0 kg/m3 . 
B)  51.4 kg/m3 . 
C)  51.39 kg/m3 . 
D)  5.14 $\times$ 10 kg/m3 . 
E)  5.1 $\times$ 10 kg/m3 . 
A)  51.0 kg/m3 . 
B)  51.4 kg/m3 . 
C)  51.39 kg/m3 . 
D)  5.14 $\times$ 10 kg/m3 . 
E)  5.1 $\times$ 10 kg/m3 .

Question 20

The speed of an object as a function of time is given by the equation v(t) = at2  be-ct. The dimensions of a, b, and c are -

Accepted Answer

A)  distance/time, distance/time, and 1/time. 
B)  distance/time, distance/time, and time. 
C)  distance, distance/time, and 1/time. 
D)  distance/time3, distance/time, 1/time. 
E)  distance/time3, distance/time, time. 
A)  distance/time, distance/time, and 1/time. 
B)  distance/time, distance/time, and time. 
C)  distance, distance/time, and 1/time. 
D)  distance/time3, distance/time, 1/time. 
E)  distance/time3, distance/time, time.

Exam 1: Space, Time, and Mass

All of the following inequalities for time units are correct except

The position of an object as a function of time is given by the equation x(t) = asin(bt2 + c). The dimensions of a, b, and c are

A student measures the length of an object five times, each time using a different instrument. Measurement 1 2 3 4 5 Length (m) 74.14 74 75 74.2 73.9 The least precise measurement is

A box is 1.5 yard wide, 1.2 feet wide and 3.5 in. high. Its volume in SI units is

The position of an object as a function of time is given by the equation x(t) = at2 + bt + c. The dimensions of a, b, and c are

The sum of 1.00 m + 1531 mm + 2.54 ×\times× 10-2 km, with the correct number of significant figures is

A thunderstorm drops 1/4 in. of rain on a 50 mi2 area. The estimated number of fallen raindrops is

In the international system of units (SI), the official unit of length is the

If 1/3 yard is equal to 1 foot, then 1 cubic yard of volume is equal to

The best estimate of the volume of your body is

The most precise scientific standard of time is based on

An acceptable (though perhaps unusual) unit for density is

All of the following inequalities for length units are correct except

If in the international system of units the variables a, b, and c are related to each other through the equation ax = bycz, and [c]SI = s, [b]SI = m/s, and [a]SI = m/s2, the powers x, y, and z that make the equation dimensionally consistent are

If 1 in. is approximately equal to 2.5 cm, then 1.0 cm2 of surface area is approximately

The density of a block is defined as the ratio of the block's mass to its volume. If the mass and the volume of a block were measured to be 123.34 kg and 2.4 m3 respectively, its density is

The speed of an object as a function of time is given by the equation v(t) = at2 be-ct. The dimensions of a, b, and c are -

Motion Along a Straight Line

Vectors

Motion in Two and Three Dimensions

Newtons Laws of Motion

Further Applications of Newtons Laws

Work and Energy

Conservation of Energy

Gravitation

Systems of Particles

Collisions

Rotation of a Rigid Body

Dynamics of a Rigid Body

Statics and Elasticity

Oscillations

Waves

Sound

Fluid Mechanics

The Ideal Gas

Heat

Thermodynamics

Electric Force and the Electric Charge

The Electric Field

Gauss Law

Electrostatic Potential and Energy

Capacitors and Dielectrics

Currents and Ohms Law

Direct Current Circuits

Magnetic Force and Field

Charges and Currents in Magnetic Fields

Electromagnetic Induction

Alternating Current Circuits

Electromagnetic Waves

Reflection, Refraction, and Optics

Interference and Diffraction

The Theory of Special Relativity

Quanta of Light

Spectral Lines, Bohrs Theory, and Quantum Mechanics

Quantum Structure of Atoms, Molecules, and Solids

Nuclei

Elementary Particles and Cosmology

Filters

The position of an object as a function of time is given by the equation x(t) = asin(bt²+ c). The dimensions of a, b, and c are

The position of an object as a function of time is given by the equation x(t) = at²+ bt + c. The dimensions of a, b, and c are

The sum of 1.00 m + 1531 mm + 2.54 $\times$ 10^-2 km, with the correct number of significant figures is

A thunderstorm drops 1/4 in. of rain on a 50 mi²area. The estimated number of fallen raindrops is

If in the international system of units the variables a, b, and c are related to each other through the equation a^x= b^yc^z, and [c]_SI= s, [b]_SI= m/s, and [a]_SI= m/s², the powers x, y, and z that make the equation dimensionally consistent are

If 1 in. is approximately equal to 2.5 cm, then 1.0 cm² of surface area is approximately

The density of a block is defined as the ratio of the block's mass to its volume. If the mass and the volume of a block were measured to be 123.34 kg and 2.4 m³respectively, its density is

The speed of an object as a function of time is given by the equation v(t) = at² be^-ct. The dimensions of a, b, and c are -