Question 1

Determine the magnitude of the vector difference,   -   .

Accepted Answer

A) 5 units 
B) 15 units 
C) 20 units 
D) 30 units 
E) 50 units 
A) 5 units 
B) 15 units 
C) 20 units 
D) 30 units 
E) 50 units

Question 2

A certain physical quantity, R, is calculated using the formula: R = 4a2(b - c) where a, b, and c are distances.What is the SI unit for R?

Accepted Answer

A) cm 
B) cm2 
C) m 
D) m2 
E) m3 
A) cm 
B) cm2 
C) m 
D) m2 
E) m3

Question 3

A race car will make one lap around a circular track of radius R.When the car has traveled halfway around the track, what is the magnitude of the car's displacement from the starting point?

Accepted Answer

A) 2R 
B) R 
C) ( $\pi$R) 
D) (2 $\pi$R) 
E) zero meters 
A) 2R 
B) R 
C) ( $\pi$R) 
D) (2 $\pi$R) 
E) zero meters

Question 4

A bug crawls 2.25 m along the base of a wall.Upon reaching a corner, the bug's direction of travel changes from south to west.The bug then crawls 3.15 m before stopping.What is the magnitude of the bug's displacement?

Accepted Answer

A) 5.40 m 
B) 2.72 m 
C) 3.87 m 
D) 4.11 m 
E) 3.29 m 
A) 5.40 m 
B) 2.72 m 
C) 3.87 m 
D) 4.11 m 
E) 3.29 m

Question 5

Complete the following statement: Today, the standard unit of mass is defined in terms of

Accepted Answer

A) a specified volume of water at 4 °C. 
B) a standard platinum-iridium cylinder. 
C) a specified number of cesium atoms. 
D) a standard platinum bar. 
E) the speed of light. 
A) a specified volume of water at 4 °C. 
B) a standard platinum-iridium cylinder. 
C) a specified number of cesium atoms. 
D) a standard platinum bar. 
E) the speed of light.

Question 6

In the sport of horseshoe pitching, two stakes are 40.0 feet apart.What is the distance in meters between the two stakes?

Accepted Answer

A) 24.4 m 
B) 4.80 m 
C) 18.3 m 
D) 12.2 m 
E) 15.7 m 
A) 24.4 m 
B) 4.80 m 
C) 18.3 m 
D) 12.2 m 
E) 15.7 m

Question 7

The length of each side of a square is 4.0 m.What is the length of the diagonal of the square (shown as a dashed line in the figure)?

Accepted Answer

A) 2.8 m 
B) 8.0 m 
C) 5.7 m 
D) 6.8 m 
E) 16 m 
A) 2.8 m 
B) 8.0 m 
C) 5.7 m 
D) 6.8 m 
E) 16 m

Question 8

An escaped convict runs 1.70 km due east of the prison.He then runs due north to a friend's house.If the magnitude of the convict's total displacement vector is 2.50 km, what is the direction of his total displacement vector with respect to due east?

Accepted Answer

A) 43° south of east 
B) 47° north of east 
C) 56° north of east 
D) 34° south of east 
E) 34° north of east 
A) 43° south of east 
B) 47° north of east 
C) 56° north of east 
D) 34° south of east 
E) 34° north of east

Question 9

What is the minimum number of vectors with equal magnitudes whose vector sum can be zero?

Accepted Answer

A) two 
B) three 
C) four 
D) five 
E) six 
A) two 
B) three 
C) four 
D) five 
E) six

Question 10

The mass of a raindrop is 4 milligrams.Which one of the following statements indicates the correct mass of the raindrop in grams?

Accepted Answer

A) The raindrop has a mass of 4 × 106 grams. 
B) The raindrop has a mass of 4 × 10-3 grams. 
C) The raindrop has a mass of 4 × 10-1 grams. 
D) The raindrop has a mass of 4 × 103 grams. 
E) The raindrop has a mass of 4 × 10-6 grams. 
A) The raindrop has a mass of 4 × 106 grams. 
B) The raindrop has a mass of 4 × 10-3 grams. 
C) The raindrop has a mass of 4 × 10-1 grams. 
D) The raindrop has a mass of 4 × 103 grams. 
E) The raindrop has a mass of 4 × 10-6 grams.

Question 11

City A lies 30 km directly south of city B.A bus, beginning at city A travels 50 km at 37° north of east to reach city C.How far and in what direction must the bus go from city C to reach city B?

Accepted Answer

A) 20 km, west 
B) 40 km, west 
C) 80 km, west 
D) 40 km, east 
E) 80 km, east 
A) 20 km, west 
B) 40 km, west 
C) 80 km, west 
D) 40 km, east 
E) 80 km, east

Question 12

Which one of the following choices is a vector quantity?

Accepted Answer

A) mass 
B) temperature 
C) time 
D) displacement 
E) volume 
A) mass 
B) temperature 
C) time 
D) displacement 
E) volume

Question 13

Use the component method of vector addition to find the resultant of the following three vectors:   = 56 km, east   = 11 km, 22° south of east   = 88 km, 44° west of south

Accepted Answer

A) 81 km, 14° west of south 
B) 97 km, 62° south of east 
C) 52 km, 66° south of east 
D) 68 km, 86° south of east 
E) 66 km, 7.1° west of south 
A) 81 km, 14° west of south 
B) 97 km, 62° south of east 
C) 52 km, 66° south of east 
D) 68 km, 86° south of east 
E) 66 km, 7.1° west of south

Question 14

A certain mountain road is inclined 3.1° with respect to the horizon.What is the change in altitude of the car as a result of its traveling 2.90 km along the road?

Accepted Answer

A) 157 m 
B) 181 m 
C) 116 m 
D) 203 m 
E) 289 m 
A) 157 m 
B) 181 m 
C) 116 m 
D) 203 m 
E) 289 m

Question 15

1-3
A boat radioed a distress call to a Coast Guard station.At the time of the call, a vector A from the station to the boat had a magnitude of 45.0 km and was directed 15.0° east of north.A vector from the station to the point where the boat was later found is   = 30.0 km, 15.0° north of east.
-What are the components of the vector from the point where the distress call was made to the point where the boat was found? In other words, what are the components of vector   =   -   ? x component y component

Accepted Answer

A) 35.7 km, west 17.4 km, north 
B) 40.6 km, east 51.2 km, south 
C) 17.3 km, west 51.2 km, south 
D) 40.6 km, east 35.7 km, north 
E) 17.3 km, east 35.7 km, south 
A) 35.7 km, west 17.4 km, north 
B) 40.6 km, east 51.2 km, south 
C) 17.3 km, west 51.2 km, south 
D) 40.6 km, east 35.7 km, north 
E) 17.3 km, east 35.7 km, south

Question 16

Town A lies 20 km north of town B.Town C lies 13 km west of town A.A small plane flies directly from town B to town C.What is the displacement of the plane?

Accepted Answer

A) 33 km, 33° north of west 
B) 19 km, 33° north of west 
C) 24 km, 57° north of west 
D) 31 km, 57° north of west 
E) 6.6 km, 40° north of west 
A) 33 km, 33° north of west 
B) 19 km, 33° north of west 
C) 24 km, 57° north of west 
D) 31 km, 57° north of west 
E) 6.6 km, 40° north of west

Question 17

A 3.0-m ladder leans against a wall and makes an angle with the wall of 28° as shown in the drawing.What is the height h above the ground where the ladder makes contact with the wall?

Accepted Answer

A) 2.6 m 
B) 2.3 m 
C) 2.1 m 
D) 1.9 m 
E) 1.6 m 
A) 2.6 m 
B) 2.3 m 
C) 2.1 m 
D) 1.9 m 
E) 1.6 m

Question 18

The mathematical relationship between three physical quantities is given by   .If the dimension of b is;   and the dimension of c is [L].Which one of the following choices is the dimension of a?

Accepted Answer

A) [L] 
B)    
C)    
D) [T] 
E)    
A) [L] 
B)    
C)    
D) [T] 
E)

Question 19

Complete the following statement: The ratio   is equal to

Accepted Answer

A) 102. 
B) 103. 
C) 106. 
D) 10-3. 
E) 10-6. 
A) 102. 
B) 103. 
C) 106. 
D) 10-3. 
E) 10-6.

Question 20

Which one of the following choices is equivalent to 152 m?

Accepted Answer

A) 1.52 × 101 m 
B) 1.52 × 102 m 
C) 1.52 × 10-1 m 
D) 1.52 × 10-2 m 
E) 1.52 × 100 m 
A) 1.52 × 101 m 
B) 1.52 × 102 m 
C) 1.52 × 10-1 m 
D) 1.52 × 10-2 m 
E) 1.52 × 100 m

Exam 1: Introduction and Mathematical Concepts

Determine the magnitude of the vector difference, - .

A certain physical quantity, R, is calculated using the formula: R = 4a2(b - c) where a, b, and c are distances.What is the SI unit for R?

A race car will make one lap around a circular track of radius R.When the car has traveled halfway around the track, what is the magnitude of the car's displacement from the starting point?

A bug crawls 2.25 m along the base of a wall.Upon reaching a corner, the bug's direction of travel changes from south to west.The bug then crawls 3.15 m before stopping.What is the magnitude of the bug's displacement?

Complete the following statement: Today, the standard unit of mass is defined in terms of

In the sport of horseshoe pitching, two stakes are 40.0 feet apart.What is the distance in meters between the two stakes?

The length of each side of a square is 4.0 m.What is the length of the diagonal of the square (shown as a dashed line in the figure)?

An escaped convict runs 1.70 km due east of the prison.He then runs due north to a friend's house.If the magnitude of the convict's total displacement vector is 2.50 km, what is the direction of his total displacement vector with respect to due east?

What is the minimum number of vectors with equal magnitudes whose vector sum can be zero?

The mass of a raindrop is 4 milligrams.Which one of the following statements indicates the correct mass of the raindrop in grams?

City A lies 30 km directly south of city B.A bus, beginning at city A travels 50 km at 37° north of east to reach city C.How far and in what direction must the bus go from city C to reach city B?

Which one of the following choices is a vector quantity?

Use the component method of vector addition to find the resultant of the following three vectors: = 56 km, east = 11 km, 22° south of east = 88 km, 44° west of south

A certain mountain road is inclined 3.1° with respect to the horizon.What is the change in altitude of the car as a result of its traveling 2.90 km along the road?

Town A lies 20 km north of town B.Town C lies 13 km west of town A.A small plane flies directly from town B to town C.What is the displacement of the plane?

A 3.0-m ladder leans against a wall and makes an angle with the wall of 28° as shown in the drawing.What is the height h above the ground where the ladder makes contact with the wall?

The mathematical relationship between three physical quantities is given by .If the dimension of b is; and the dimension of c is [L].Which one of the following choices is the dimension of a?

Complete the following statement: The ratio is equal to

Which one of the following choices is equivalent to 152 m?

Kinematics in One Dimension

Kinematics in Two Dimensions

Forces and Newtons Laws of Motion

Dynamics of Uniform Circular Motion

Work and Energy

Impulse and Momentum

Rotational Kinematics

Rotational Dynamics

Simple Harmonic Motion and Elasticity

Fluids

Temperature and Heat

The Transfer of Heat

The Ideal Gas Law and Kinetic Theory

Thermodynamics

Waves and Sound

The Principle of Linear Superposition and Interference Phenomena

Electric Forces and Electric Fields

Electric Potential Energy and the Electric Potential

Electric Circuits

Magnetic Forces and Magnetic Fields

Electromagnetic Induction

Alternating Current Circuits

Electromagnetic Waves

The Reflection of Light: Mirrors

The Refraction of Light: Lenses and Optical Instruments

Interference and the Wave Nature of Light

Special Relativity

Particles and Waves

The Nature of the Atom

Nuclear Physics and Radioactivity

Ionizing Radiation, Nuclear Energy, and Elementary Particles

Filters

A certain physical quantity, R, is calculated using the formula: R = 4a²(b - c) where a, b, and c are distances.What is the SI unit for R?