Question 1

If two vectors point in opposite directions, their cross product must be zero.

Accepted Answer

A) True 
 B)False

Question 2

What is 0.2052/3, expressed to the proper number of significant figures?

Accepted Answer

A)  0.348 
B)  0.35 
C)  0.3 
D)  0.3477 
A)  0.348 
B)  0.35 
C)  0.3 
D)  0.3477

Question 3

An airplane undergoes the following displacements: First, it flies 66 km in a direction 30° east of north. Next, it flies 49 km due south. Finally, it flies 100 km 30° north of west. Using vector components, determine how far the airplane ends up from its starting point.

Accepted Answer

A)  79 km 
B)  81 km 
C)  82 km 
D)  78 km 
E)  76 km 
A)  79 km 
B)  81 km 
C)  82 km 
D)  78 km 
E)  76 km

Question 4

Estimate the number of times the earth will rotate on its axis during a human's lifetime.

Accepted Answer

A)  3 × 104 
B)  3 × 105 
C)  3 × 106 
D)  3 × 107 
E)  3 x 108 
A)  3 × 104 
B)  3 × 105 
C)  3 × 106 
D)  3 × 107 
E)  3 x 108

Question 5

For the vectors shown in the figure, find the magnitude and direction of   ×  
, assuming that the quantities shown are accurate to two significant figures.

Accepted Answer

A)  26, directed into the plane 
B)  26, directed out of the plane 
C)  31, directed on the plane 
D)  31, directed into the plane 
E)  31, directed out of the plane 
A)  26, directed into the plane 
B)  26, directed out of the plane 
C)  31, directed on the plane 
D)  31, directed into the plane 
E)  31, directed out of the plane

Question 6

If   and  
Are nonzero vectors for which   ∙   = 0, it must follow that

Accepted Answer

A)    ×   = 0. 
B)    is parallel to   . 
C)  |   ×   | = AB. 
D)  |   ×   | = 1. 
A)    ×   = 0. 
B)    is parallel to   . 
C)  |   ×   | = AB. 
D)  |   ×   | = 1.

Question 7

The scalar product of vector   = 3.00 î + 2.00 ĵ and vector  
Is 10.0. Which of the following vectors could be vector   ?

Accepted Answer

A)  2.00 î + 4.00 ĵ 
B)  4.00 î + 6.00 ĵ 
C)  5.00 î + 4.00 ĵ 
D)  12.0 î 
E)  2.00 î + 2.00 ĵ 
A)  2.00 î + 4.00 ĵ 
B)  4.00 î + 6.00 ĵ 
C)  5.00 î + 4.00 ĵ 
D)  12.0 î 
E)  2.00 î + 2.00 ĵ

Question 8

The period of a pendulum is the time it takes the pendulum to swing back and forth once. If the only dimensional quantities that the period depends on are the acceleration of gravity, g, and the length of the pendulum, ℓ, what combination of g and ℓ must the period be proportional to? (Acceleration has SI units of m ∙ s-2.).

Accepted Answer

A)  g/ℓ 
B)  gℓ2 
C)  gℓ 
D)    
E)    
A)  g/ℓ 
B)  gℓ2 
C)  gℓ 
D)    
E)

Question 9

The position x, in meters, of an object is given by the equation x = A + Bt + Ct2, where t represents time in seconds. What are the SI units of A, B, and C?

Accepted Answer

A)  m, m, m 
B)  m, s, s 
C)  m, s, s2 
D)  m, m/s, m/s2 
E)  m/s, m/s2, m/s3 
A)  m, m, m 
B)  m, s, s 
C)  m, s, s2 
D)  m, m/s, m/s2 
E)  m/s, m/s2, m/s3

Question 10

If a tree is 15 m tall, its height expressed in feet is x ft, where x is

Accepted Answer

A)  less than 15. 
B)  greater than 15. 
A)  less than 15. 
B)  greater than 15.

Question 11

The exhaust fan on a typical kitchen stove pulls 600 CFM (cubic feet per minute) through the filter. Given that 1.00 in. = 2.54 cm, how many cubic meters per second does this fan pull?

Accepted Answer

A)  0.283 m3/sec 
B)  0.328 m3/sec 
C)  3.05 m3/sec 
D)  32.8 m3/sec 
A)  0.283 m3/sec 
B)  0.328 m3/sec 
C)  3.05 m3/sec 
D)  32.8 m3/sec

Question 12

Which of the following is an accurate statement?

Accepted Answer

A)  The magnitude of a vector can be zero even though one of its components is not zero. 
B)  It is possible to add a scalar quantity to a vector. 
C)  Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero. 
D)  Rotating a vector about an axis passing through the tip of the vector does not change the vector. 
E)  The magnitude of a vector is independent of the coordinate system used. 
A)  The magnitude of a vector can be zero even though one of its components is not zero. 
B)  It is possible to add a scalar quantity to a vector. 
C)  Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero. 
D)  Rotating a vector about an axis passing through the tip of the vector does not change the vector. 
E)  The magnitude of a vector is independent of the coordinate system used.

Question 13

What is the magnitude of   +   +   , where   = 1.00 î + 4.00 ĵ - 1.00   ,   = 3.00 î - 1.00 ĵ - 4.00   And   = -1.00 î + 1.00 ĵ ?

Accepted Answer

A)  7.07 
B)  2.00 
C)  10.76 
D)  6.78 
E)  8.12 
A)  7.07 
B)  2.00 
C)  10.76 
D)  6.78 
E)  8.12

Question 14

When adding two numbers, the number of significant figures in the sum is equal to the number of significant figures in the least accurate of the numbers being added.

Accepted Answer

A) True 
 B)False

Question 15

If the magnitude of the cross product of two vectors is one-half the dot product of the same vectors, what is the angle between the two vectors?

Accepted Answer

The answer of If the magnitude of the cross product...

Question 16

The following exact conversion equivalents are given: 1 m = 100 cm, 1 in = 2.54 cm, and 1 ft + 12 in. If a computer screen has an area of 1.27 ft2, this area is closest to

Accepted Answer

A)  0.00284 m2. 
B)  0.0465 m2. 
C)  0.118 m2 
D)  0.284 m2 
E)  4.65 m2. 
A)  0.00284 m2. 
B)  0.0465 m2. 
C)  0.118 m2 
D)  0.284 m2 
E)  4.65 m2.

Question 17

Under what condition is |   -   | = A + B?

Accepted Answer

A)  The magnitude of vector   is zero. 
B)  Vectors   and   are in opposite directions. 
C)  Vectors   and   are in the same direction. 
D)  Vectors   and   are in perpendicular directions. 
E)  The statement is never true. 
A)  The magnitude of vector   is zero. 
B)  Vectors   and   are in opposite directions. 
C)  Vectors   and   are in the same direction. 
D)  Vectors   and   are in perpendicular directions. 
E)  The statement is never true.

Question 18

Convert a speed of 4.50 km/h to units of ft/min. (1.00 m = 3.28 ft)

Accepted Answer

A)  0.246 ft/min 
B)  82.3 ft/min 
C)  165 ft/min 
D)  246 ft/min 
E)  886 ft/min 
A)  0.246 ft/min 
B)  82.3 ft/min 
C)  165 ft/min 
D)  246 ft/min 
E)  886 ft/min

Question 19

What is the result of 1.58 ÷ 3.793 written with the correct number of significant figures?

Accepted Answer

A)  4.1656 × 10-1 
B)  4.166 × 10-1 
C)  4.17 × 10-1 
D)  4.2 × 10-1 
E)  4 × 10-1 
A)  4.1656 × 10-1 
B)  4.166 × 10-1 
C)  4.17 × 10-1 
D)  4.2 × 10-1 
E)  4 × 10-1

Question 20

Scientists use the metric system chiefly because it is more accurate than the English system.

Accepted Answer

A) True 
 B)False

Exam 1: Units, Physical Quantities, and Vectors

If two vectors point in opposite directions, their cross product must be zero.

What is 0.2052/3, expressed to the proper number of significant figures?

An airplane undergoes the following displacements: First, it flies 66 km in a direction 30° east of north. Next, it flies 49 km due south. Finally, it flies 100 km 30° north of west. Using vector components, determine how far the airplane ends up from its starting point.

Estimate the number of times the earth will rotate on its axis during a human's lifetime.

For the vectors shown in the figure, find the magnitude and direction of × , assuming that the quantities shown are accurate to two significant figures.

If and Are nonzero vectors for which ∙ = 0, it must follow that

The scalar product of vector = 3.00 î + 2.00 ĵ and vector Is 10.0. Which of the following vectors could be vector ?

The position x, in meters, of an object is given by the equation x = A + Bt + Ct2, where t represents time in seconds. What are the SI units of A, B, and C?

If a tree is 15 m tall, its height expressed in feet is x ft, where x is

The exhaust fan on a typical kitchen stove pulls 600 CFM (cubic feet per minute) through the filter. Given that 1.00 in. = 2.54 cm, how many cubic meters per second does this fan pull?

Which of the following is an accurate statement?

What is the magnitude of + + , where = 1.00 î + 4.00 ĵ - 1.00 , = 3.00 î - 1.00 ĵ - 4.00 And = -1.00 î + 1.00 ĵ ?

When adding two numbers, the number of significant figures in the sum is equal to the number of significant figures in the least accurate of the numbers being added.

If the magnitude of the cross product of two vectors is one-half the dot product of the same vectors, what is the angle between the two vectors?

The following exact conversion equivalents are given: 1 m = 100 cm, 1 in = 2.54 cm, and 1 ft + 12 in. If a computer screen has an area of 1.27 ft2, this area is closest to

Under what condition is | - | = A + B?

Convert a speed of 4.50 km/h to units of ft/min. (1.00 m = 3.28 ft)

What is the result of 1.58 ÷ 3.793 written with the correct number of significant figures?

Scientists use the metric system chiefly because it is more accurate than the English system.

Motion Along a Straight Line

Motion in Two or Three Dimensions

Newtons Laws of Motion

Applying Newtons Laws

Work and Kinetic Energy

Potential Energy and Energy Conservation

Momentum, Impulse, and Collisions

Rotation of Rigid Bodies

Equilibrium and Elasticity

Fluid Mechanics

Gravitation

Periodic Motion

Mechanical Waves

Sound and Hearing

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Electric Charge and Electric Field

Gausss Law

Electric Potential

Capacitance and Dielectrics

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic Field

Electromagnetic Induction

Inductance

Alternating Current

Electromagnetic Waves

The Nature and Propagation of Light

Geometric Optics

Interference

Diffraction

Relativity

Photons: Light Waves Behaving As Particles

Particles Behaving As Waves

Quantum Mechanics

Atomic Structure

Molecules and Condensed Matter

Nuclear Physics

Particle Physics and Cosmology

Filters

What is 0.205^2/3, expressed to the proper number of significant figures?

The position x, in meters, of an object is given by the equation x = A + Bt + Ct², where t represents time in seconds. What are the SI units of A, B, and C?

The following exact conversion equivalents are given: 1 m = 100 cm, 1 in = 2.54 cm, and 1 ft + 12 in. If a computer screen has an area of 1.27 ft², this area is closest to