Question 1

What is the angle between the vector   = +3 î - 2 ĵ - 3  
And the +y-axis?

Accepted Answer

A)  115° 
B)  65° 
C)  25° 
D)  155° 
E)  90° 
A)  115° 
B)  65° 
C)  25° 
D)  155° 
E)  90° A

Question 2

If   = +4 î - 2 ĵ - 3  
And   = -4 î -2 ĵ - 3   , which of the following numbers is closest to the magnitude of   -   ?

Accepted Answer

A)  8 
B)  7 
C)  9 
D)  10 
E)  11 
A)  8 
B)  7 
C)  9 
D)  10 
E)  11 A

Question 3

An apple falls from an apple tree growing on a 20° slope. The apple hits the ground with an impact velocity of 16.2 m/s straight downward. What is the component of the apple's impact velocity parallel to the surface of the slope?

Accepted Answer

A)  5.5 m/s 
B)  8.7 m/s 
C)  12 m/s 
D)  15 m/s 
A)  5.5 m/s 
B)  8.7 m/s 
C)  12 m/s 
D)  15 m/s A

Question 4

Express (4.3 × 106)-1/2 in scientific notation.

Accepted Answer

A)  4.8 × 10-4 
B)  2.1 × 103 
C)  2.1 × 10-5 
D)  2.1 × 104 
A)  4.8 × 10-4 
B)  2.1 × 103 
C)  2.1 × 10-5 
D)  2.1 × 104

Question 5

The mass of a typical adult woman is closest to

Accepted Answer

A)  20 kg. 
B)  35 kg. 
C)  75 kg. 
D)  150 kg. 
A)  20 kg. 
B)  35 kg. 
C)  75 kg. 
D)  150 kg.

Question 6

The length and width of a rectangle are 1.125 m and 0.606 m, respectively. Multiplying, your calculator gives the product as 0.68175. Rounding properly to the correct number of significant figures, the area should be written as

Accepted Answer

A)  0.7 m2. 
B)  0.68 m2 
C)  0.682 m2 
D)  0.6818 m2 
E)  0.68175 m2 
A)  0.7 m2. 
B)  0.68 m2 
C)  0.682 m2 
D)  0.6818 m2 
E)  0.68175 m2

Question 7

If    -    = 0, then the vectors    and    have equal magnitudes and are directed in the opposite directions from each other.

Accepted Answer

A) True 
 B)False

Question 8

What is   to the proper number of significant figures?

Accepted Answer

A)  0.91 
B)  0.911 
C)  0.9108 
D)  0.9 
A)  0.91 
B)  0.911 
C)  0.9108 
D)  0.9

Question 9

Write out the number 7.35 × 10-5 in full with a decimal point and correct number of zeros.

Accepted Answer

A)  0.00000735 
B)  0.0000735 
C)  0.000735 
D)  0.00735 
E)  0.0735 
A)  0.00000735 
B)  0.0000735 
C)  0.000735 
D)  0.00735 
E)  0.0735

Question 10

The magnitude of a vector can never be less than the magnitude of one of its components.

Accepted Answer

A) True 
 B)False

Question 11

If a flower is 6.5 cm wide, its width expressed in millimeters is x mm, where x is

Accepted Answer

A)  less than 6.5. 
B)  greater than 6.5. 
A)  less than 6.5. 
B)  greater than 6.5.

Question 12

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 107 calculations per second?

Accepted Answer

A)  15 ns 
B)  67 ns 
C)  11 ns 
D)  65 ns 
A)  15 ns 
B)  67 ns 
C)  11 ns 
D)  65 ns

Question 13

Determine the scalar product of   = 6.0î + 4.0 ĵ - 2.0  
And   = 5)0 î - 6.0 ĵ - 3.0   )

Accepted Answer

A)  30 î + 24 ĵ + 6   
B)  30 î - 24 ĵ + 6   
C)  12 
D)  60 
E)  undefined 
A)  30 î + 24 ĵ + 6   
B)  30 î - 24 ĵ + 6   
C)  12 
D)  60 
E)  undefined

Question 14

A rectangular box is positioned with its vertices at the following points:
A = (0,0,0) C = (2,4,0) E = (0,0,3) G = (2,4,3)
B = (2,0,0) D = (0,4,0) F = (2,0,3) H = (0,4,3)
If the coordinates all have three significant figures, the angle between the line segments AG and AH is closest to:

Accepted Answer

A)  21.8°. 
B)  22.5°. 
C)  26.6°. 
D)  36.9°. 
E)  45.0°. 
A)  21.8°. 
B)  22.5°. 
C)  26.6°. 
D)  36.9°. 
E)  45.0°.

Question 15

If   = -4 î - 2 ĵ - 3  
, what is  
× ĵ ?

Accepted Answer

A)  +3 î - 4   
B)  +3 î + 4   
C)  -3 î + 4   
D)  +3 î + 2 ĵ - 4   
E)  -3 î - 2 ĵ + 4   
A)  +3 î - 4   
B)  +3 î + 4   
C)  -3 î + 4   
D)  +3 î + 2 ĵ - 4   
E)  -3 î - 2 ĵ + 4

Question 16

A marathon is 26 mi and 385 yd long. Estimate how many strides would be required to run a marathon. Assume a reasonable value for the average number of feet/stride.

Accepted Answer

A)  4.5 × 104 strides 
B)  4.5 × 103 strides 
C)  4.5 × 105 strides 
D)  4.5 × 106 strides 
A)  4.5 × 104 strides 
B)  4.5 × 103 strides 
C)  4.5 × 105 strides 
D)  4.5 × 106 strides

Question 17

What is 34 + (3) × (1.2465) written with the correct number of significant figures?

Accepted Answer

A)  37.7 
B)  37.74 
C)  4 × 101 
D)  38 
E)  37.7395 
A)  37.7 
B)  37.74 
C)  4 × 101 
D)  38 
E)  37.7395

Question 18

As shown in the figure, three force vectors act on an object. The magnitudes of the forces as shown in the figure are F1 = 80.0 N, F2 = 60.0 N, and F3 = 40.0 N, where N is the standard SI unit of force. The resultant force acting on the object is given by

Accepted Answer

A)  180 N at an angle 60.0° with respect to +x-axis. 
B)  60.0 N at an angle 90.0° with respect to +x-axis. 
C)  20.0 N at an angle 34.3° with respect to +x-axis. 
D)  35.5 N at an angle 34.3° with respect to +x-axis. 
E)  40.0 N at an angle 60.0° with respect to +x-axis. 
A)  180 N at an angle 60.0° with respect to +x-axis. 
B)  60.0 N at an angle 90.0° with respect to +x-axis. 
C)  20.0 N at an angle 34.3° with respect to +x-axis. 
D)  35.5 N at an angle 34.3° with respect to +x-axis. 
E)  40.0 N at an angle 60.0° with respect to +x-axis.

Question 19

If two nonzero vectors point in the same direction, their dot product must be zero.

Accepted Answer

A) True 
 B)False

Question 20

What is the product of 11.24 and 1.95 written with the correct number of significant figures?

Accepted Answer

A)  22 
B)  21.9 
C)  21.92 
D)  21.918 
E)  21.9180 
A)  22 
B)  21.9 
C)  21.92 
D)  21.918 
E)  21.9180

Exam 1: Units, Physical Quantities, and Vectors

What is the angle between the vector = +3 î - 2 ĵ - 3 And the +y-axis?

If = +4 î - 2 ĵ - 3 And = -4 î -2 ĵ - 3 , which of the following numbers is closest to the magnitude of - ?

An apple falls from an apple tree growing on a 20° slope. The apple hits the ground with an impact velocity of 16.2 m/s straight downward. What is the component of the apple's impact velocity parallel to the surface of the slope?

Express (4.3 × 106)-1/2 in scientific notation.

The mass of a typical adult woman is closest to

The length and width of a rectangle are 1.125 m and 0.606 m, respectively. Multiplying, your calculator gives the product as 0.68175. Rounding properly to the correct number of significant figures, the area should be written as

If - = 0, then the vectors and have equal magnitudes and are directed in the opposite directions from each other.

What is to the proper number of significant figures?

Write out the number 7.35 × 10-5 in full with a decimal point and correct number of zeros.

The magnitude of a vector can never be less than the magnitude of one of its components.

If a flower is 6.5 cm wide, its width expressed in millimeters is x mm, where x is

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 107 calculations per second?

Determine the scalar product of = 6.0î + 4.0 ĵ - 2.0 And = 5)0 î - 6.0 ĵ - 3.0 )

A rectangular box is positioned with its vertices at the following points: A = (0,0,0) C = (2,4,0) E = (0,0,3) G = (2,4,3) B = (2,0,0) D = (0,4,0) F = (2,0,3) H = (0,4,3) If the coordinates all have three significant figures, the angle between the line segments AG and AH is closest to:

If = -4 î - 2 ĵ - 3 , what is × ĵ ?

A marathon is 26 mi and 385 yd long. Estimate how many strides would be required to run a marathon. Assume a reasonable value for the average number of feet/stride.

What is 34 + (3) × (1.2465) written with the correct number of significant figures?

As shown in the figure, three force vectors act on an object. The magnitudes of the forces as shown in the figure are F1 = 80.0 N, F2 = 60.0 N, and F3 = 40.0 N, where N is the standard SI unit of force. The resultant force acting on the object is given by

If two nonzero vectors point in the same direction, their dot product must be zero.

What is the product of 11.24 and 1.95 written with the correct number of significant figures?

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

Express (4.3 × 10⁶)^-1/2 in scientific notation.

Write out the number 7.35 × 10^-5 in full with a decimal point and correct number of zeros.

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 10⁷ calculations per second?

As shown in the figure, three force vectors act on an object. The magnitudes of the forces as shown in the figure are F₁ = 80.0 N, F₂ = 60.0 N, and F₃ = 40.0 N, where N is the standard SI unit of force. The resultant force acting on the object is given by