Question 1

The shortest wavelength of visible light is approximately 400 nm. Express this wavelength in centimeters.

Accepted Answer

A)  4 × 10-5 cm 
B)  4 × 10-7 cm 
C)  4 × 10-9 cm 
D)  4 × 10-11 cm 
E)  400 × 10-11 cm

Question 2

Vector  
has a magnitude of 75.0 cm and points at 30° above the positive x-axis. Vector  
has a magnitude of 25.0 cm and points along the negative x-axis. Vector  
has a magnitude of 40.0 cm and points at 45° below the negative x-axis.
(a) Determine the x and y components of Vector  .
(b) Determine the x and y components of Vector  .
(c) Determine the x and y components of Vector  .
(d) Determine x and y components of the sum of these three vectors.
(e) Determine the magnitude and direction of the sum of these three vectors.

Accepted Answer

The answer of Vector  
has a magnitude of 75.0...

Question 3

A person on a diet loses 1.6 kg in a week. How many micrograms/second (μg/s) are lost?

Accepted Answer

A)  2.6 × 103 μg/s 
B)  1.6 × 105 μg/s 
C)  44 μg/s 
D)  6.4 × 104 μg/s

Question 4

Add 3685 g and 66.8 kg and express your answer in milligrams (mg).

Accepted Answer

A)  7.05 × 107 mg 
B)  7.05 × 104 mg 
C)  7.05 × 105 mg 
D)  7.05 × 106 mg

Question 5

Approximately how many times does an average human heart beat in a lifetime?

Accepted Answer

A)  3 × 1011 
B)  3 × 1010 
C)  3 × 109 
D)  3 × 108 
E)  3 × 107

Question 6

Albert uses as his unit of length (for walking to visit his neighbors or plowing his fields) the albert (A), the distance Albert can throw a small rock. One albert is 92 meters. How many square alberts is equal to one acre? (1 acre = 43,560 ft2 = 4050 m²)

Accepted Answer

The answer of Albert uses as his unit of length...

Question 7

If, in a parallel universe, π has the value 3.14149, express π in that universe to four significant figures.

Accepted Answer

A)  3.141 
B)  3.142 
C)  3.1415 
D)  3.1414

Question 8

Vector  has a magnitude 5.00 and points in a direction 40.0° clockwise from the negative y axis. What are the x and y components of vector  )

Accepted Answer

A)  Ax = 3.83 and Ay = 3.21 
B)  Ax = 3.83 and Ay = -3.21 
C)  Ax = -3.21 and Ay = -3.83 
D)  Ax = -3.21 and Ay = 3.83 
E)  Ax = 4.29 and Ay = 2.16

Question 9

A plot of land contains 5.8 acres. How many square meters does it contain?
[1 acre = 43,560 ft2]

Accepted Answer

A)  2.3 × 104 m2 
B)  7.1 × 103 m2 
C)  7.0 × 104 m2 
D)  5.0 × 104 m2

Question 10

You walk 53 m to the north, then turn 60° to your right and walk another 45 m. Determine the direction of your displacement vector. Express your answer as an angle relative to east.

Accepted Answer

A)  63° N of E 
B)  50° N of E 
C)  57° N of E 
D)  69° N of E

Question 11

What is the magnitude of the cross product of a vector of magnitude 2.00 m pointing east and a vector of magnitude 4.00 m pointing 30.0° west of north?

Accepted Answer

A)  6.93 
B)  -6.93 
C)  4.00 
D)  -4.00 
E)  8.00

Question 12

The current definition of the standard second of time is based on

Accepted Answer

A)  the frequency of radiation emitted by cesium atoms. 
B)  the earth's rotation rate. 
C)  the duration of one year. 
D)  the oscillation of a particular pendulum kept in France.

Question 13

The height of the ceiling in a typical home, apartment, or dorm room is closest to

Accepted Answer

A)  100 cm. 
B)  200 cm. 
C)  400 cm. 
D)  500 cm.

Question 14

The angle between vector  = 2.00 î + 3.00 ĵ and vector  Is 45.0°. The scalar product of vectors  And  Is 3.00. If the x component of vector  Is positive, what is vector )

Accepted Answer

A)  4.76î + 0.952ĵ 
B)  1.15î + 0.231ĵ 
C)  2.96î + -0.973ĵ 
D)  0.871î + 0.419ĵ 
E)  3.42î + 0.684ĵ

Question 15

The current definition of the standard meter of length is based on

Accepted Answer

A)  the distance between the earth's equator and north pole. 
B)  the distance between the earth and the sun. 
C)  the distance traveled by light in a vacuum. 
D)  the length of a particular object kept in France.

Question 16

The current definition of the standard kilogram of mass is based on

Accepted Answer

A)  the mass of the earth. 
B)  the mass of the sun. 
C)  the mass a particular object kept in France. 
D)  the mass of a cesium-133 atom.

Question 17

Vector  = -3.00  + 3.00  And vector  = 3.00  + 4.00  ) What is vector  =  +  ?

Accepted Answer

A)  0.00 î + 3.00 ĵ 
B)  7.00 î + 7.00 ĵ 
C)  -3.00 î + 7.00 ĵ 
D)  0.00 î + 7.00 ĵ 
E)  -3.00 î - 3.00 ĵ

Question 18

Vector  = -1.00 î + -2.00 ĵ and vector 
= 3.00 î + 4.00 ĵ. What are the magnitude and direction of vector 
= 3.00  + 2.00 ?

Accepted Answer

A)  3.61 in a direction -56.3° counterclockwise from the positive x-axis 
B)  3.61 in a direction 56.3° counterclockwise from the positive x-axis 
C)  3.61 in a direction 33.7° counterclockwise from the positive x-axis 
D)  5.00 in a direction 56.3° counterclockwise from the positive x axis 
E)  6.72 in a direction 34.4° counterclockwise from the positive x-axis

Question 19

What is the value of π(8.104)2, written with the correct number of significant figures?

Accepted Answer

A)  206.324 
B)  206.323 
C)  206.3 
D)  206 
E)  200

Question 20

If all the components of a vector are equal to 1, then that vector is a unit vector.

Accepted Answer

A) True 
 B)False

Exam 1: Units, Physical Quantities, and Vectors

The shortest wavelength of visible light is approximately 400 nm. Express this wavelength in centimeters.

A person on a diet loses 1.6 kg in a week. How many micrograms/second (μg/s) are lost?

Add 3685 g and 66.8 kg and express your answer in milligrams (mg) .

Approximately how many times does an average human heart beat in a lifetime?

Albert uses as his unit of length (for walking to visit his neighbors or plowing his fields) the albert (A), the distance Albert can throw a small rock. One albert is 92 meters. How many square alberts is equal to one acre? (1 acre = 43,560 ft2 = 4050 m²)

If, in a parallel universe, π has the value 3.14149, express π in that universe to four significant figures.

Vector has a magnitude 5.00 and points in a direction 40.0° clockwise from the negative y axis. What are the x and y components of vector )

A plot of land contains 5.8 acres. How many square meters does it contain? [1 acre = 43,560 ft²]

You walk 53 m to the north, then turn 60° to your right and walk another 45 m. Determine the direction of your displacement vector. Express your answer as an angle relative to east.

What is the magnitude of the cross product of a vector of magnitude 2.00 m pointing east and a vector of magnitude 4.00 m pointing 30.0° west of north?

The current definition of the standard second of time is based on

The height of the ceiling in a typical home, apartment, or dorm room is closest to

The angle between vector = 2.00 î + 3.00 ĵ and vector Is 45.0°. The scalar product of vectors And Is 3.00. If the x component of vector Is positive, what is vector )

The current definition of the standard meter of length is based on

The current definition of the standard kilogram of mass is based on

Vector = -3.00 + 3.00 And vector = 3.00 + 4.00 ) What is vector = + ?

Vector = -1.00 î + -2.00 ĵ and vector = 3.00 î + 4.00 ĵ. What are the magnitude and direction of vector = 3.00 + 2.00 ?

What is the value of π(8.104) ², written with the correct number of significant figures?

If all the components of a vector are equal to 1, then that vector is a unit vector.

Exam 1: Units, Physical Quantities, and Vectors

The shortest wavelength of visible light is approximately 400 nm. Express this wavelength in centimeters.

A person on a diet loses 1.6 kg in a week. How many micrograms/second (μg/s) are lost?

Add 3685 g and 66.8 kg and express your answer in milligrams (mg) .

Approximately how many times does an average human heart beat in a lifetime?

Albert uses as his unit of length (for walking to visit his neighbors or plowing his fields) the albert (A), the distance Albert can throw a small rock. One albert is 92 meters. How many square alberts is equal to one acre? (1 acre = 43,560 ft2 = 4050 m2)

If, in a parallel universe, π has the value 3.14149, express π in that universe to four significant figures.

Vector has a magnitude 5.00 and points in a direction 40.0° clockwise from the negative y axis. What are the x and y components of vector )

A plot of land contains 5.8 acres. How many square meters does it contain? [1 acre = 43,560 ft2]

You walk 53 m to the north, then turn 60° to your right and walk another 45 m. Determine the direction of your displacement vector. Express your answer as an angle relative to east.

What is the magnitude of the cross product of a vector of magnitude 2.00 m pointing east and a vector of magnitude 4.00 m pointing 30.0° west of north?

The current definition of the standard second of time is based on

The height of the ceiling in a typical home, apartment, or dorm room is closest to

The angle between vector = 2.00 î + 3.00 ĵ and vector Is 45.0°. The scalar product of vectors And Is 3.00. If the x component of vector Is positive, what is vector )

The current definition of the standard meter of length is based on

The current definition of the standard kilogram of mass is based on

Vector = -3.00 + 3.00 And vector = 3.00 + 4.00 ) What is vector = + ?

Vector = -1.00 î + -2.00 ĵ and vector = 3.00 î + 4.00 ĵ. What are the magnitude and direction of vector = 3.00 + 2.00 ?

What is the value of π(8.104) 2, written with the correct number of significant figures?

If all the components of a vector are equal to 1, then that vector is a unit vector.

Albert uses as his unit of length (for walking to visit his neighbors or plowing his fields) the albert (A), the distance Albert can throw a small rock. One albert is 92 meters. How many square alberts is equal to one acre? (1 acre = 43,560 ft2 = 4050 m²)

A plot of land contains 5.8 acres. How many square meters does it contain? [1 acre = 43,560 ft²]

What is the value of π(8.104) ², written with the correct number of significant figures?