Question 1

A candy shop sells a pound of chocolate for $ 10.85.What is the price of 1.50 kg of chocolate at the shop?

Accepted Answer

A) $ 8.17 
B) $ 13.49 
C) $ 17.98 
D) $ 29.73 
E) $ 35.81 
A) $ 8.17 
B) $ 13.49 
C) $ 17.98 
D) $ 29.73 
E) $ 35.81 E

Question 2

A force,   , of magnitude 2.0 N and directed due east is exerted on an object.A second force exerted on the object is   = 2.0 N, due north.What is the magnitude and direction of a third force,   , which must be exerted on the object so that the resultant force is zero?

Accepted Answer

A) 1.4 N, 45° north of east 
B) 1.4 N, 45° south of west 
C) 2.8 N, 45° north of east 
D) 2.8 N, 45° south of west 
E) 4.0 N, 45° east of north 
A) 1.4 N, 45° north of east 
B) 1.4 N, 45° south of west 
C) 2.8 N, 45° north of east 
D) 2.8 N, 45° south of west 
E) 4.0 N, 45° east of north D

Question 3

A runaway dog walks 0.64 km due north.He then runs due west to a hot dog stand.If the magnitude of the dog's total displacement vector is 0.91 km, what is the magnitude of the dog's displacement vector in the due west direction?

Accepted Answer

A) 0.27 km 
B) 0.33 km 
C) 0.41 km 
D) 0.52 km 
E) 0.65 km 
A) 0.27 km 
B) 0.33 km 
C) 0.41 km 
D) 0.52 km 
E) 0.65 km E

Question 4

What is the angle between the vectors   and -   when they are drawn from a common origin?

Accepted Answer

A) 0° 
B) 90° 
C) 180° 
D) 270° 
E) 360° 
A) 0° 
B) 90° 
C) 180° 
D) 270° 
E) 360°

Question 5

How far did the boat travel from the point where the distress call was made to the point where the boat was found? In other words, what is the magnitude of vector   ?

Accepted Answer

A) 65.3 km 
B) 39.7 km 
C) 26.5 km 
D) 54.0 km 
E) 42.5 km 
A) 65.3 km 
B) 39.7 km 
C) 26.5 km 
D) 54.0 km 
E) 42.5 km

Question 6

A displacement vector is 23 km in length and directed 65° south of east.What are the components of this vector? Eastward Component Southward Component

Accepted Answer

A) 21 km 9.7 km 
B) 23 km 23 km 
C) 23 km 0 km 
D) 9.7 km 21 km 
E) 0 km 23 km 
A) 21 km 9.7 km 
B) 23 km 23 km 
C) 23 km 0 km 
D) 9.7 km 21 km 
E) 0 km 23 km

Question 7

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

Accepted Answer

A) the electromagnetic waves emitted by cesium atoms. 
B) the motion of the moon around the earth. 
C) the motion of a precision pendulum. 
D) the average solar day. 
E) the speed of light. 
A) the electromagnetic waves emitted by cesium atoms. 
B) the motion of the moon around the earth. 
C) the motion of a precision pendulum. 
D) the average solar day. 
E) the speed of light.

Question 8

Two vectors   and   are added together to form a vector   .The relationship between the magnitudes of the vectors is given by A + B = C.Which one of the following statements concerning these vectors is true?

Accepted Answer

A)    and   must be displacements. 
B)    and   must have equal lengths. 
C)    and   must point in opposite directions. 
D)    and   must point in the same direction. 
E)    and   must be at right angles to each other. 
A)    and   must be displacements. 
B)    and   must have equal lengths. 
C)    and   must point in opposite directions. 
D)    and   must point in the same direction. 
E)    and   must be at right angles to each other.

Question 9

Which one of the following is an SI base unit?

Accepted Answer

A) gram 
B) slug 
C) newton 
D) centimeter 
E) kilogram 
A) gram 
B) slug 
C) newton 
D) centimeter 
E) kilogram

Question 10

Which one of the following pairs of units may not be added together, even after the appropriate unit conversions have been made?

Accepted Answer

A) grams and milligrams 
B) kilometers and kilograms 
C) miles and kilometers 
D) slugs and kilograms 
E) centimeters and yards 
A) grams and milligrams 
B) kilometers and kilograms 
C) miles and kilometers 
D) slugs and kilograms 
E) centimeters and yards

Question 11

A displacement vector has a magnitude of 810 m and points at an angle of 18° above the positive x axis.What are the x and y scalar components of this vector? x scalar component y scalar component

Accepted Answer

A) 770 m 250 m 
B) 560 m 585 m 
C) 585 m 560 m 
D) 250 m 750 m 
E) 713 m 385 m 
A) 770 m 250 m 
B) 560 m 585 m 
C) 585 m 560 m 
D) 250 m 750 m 
E) 713 m 385 m

Question 12

1-1
Two vectors,   and   , are added together to form the vector   =   +   .
The relationship between the magnitudes of these vectors is given by:
CS1U1B1x S1U1B0 = 0
CS1U1B1y S1U1B0 = A sin 60° + B sin 30°
AS1U1B1xS1U1B0 and AS1U1B1yS1U1B0 point in the positive x and y directions, respectively.
-Which one of the following statements best describes the orientation of vectors   and   ?

Accepted Answer

A)    and   point in opposite directions. 
B)    points 60° above the positive x axis while   points 30° above the negative x axis. 
C)    points 60° above the negative x axis while   points 30° above the positive x axis. 
D)    points 60° below the positive x axis while   points 30° above the positive y axis. 
E)    points 60° below the positive x axis while   points 30° below the positive y axis. 
A)    and   point in opposite directions. 
B)    points 60° above the positive x axis while   points 30° above the negative x axis. 
C)    points 60° above the negative x axis while   points 30° above the positive x axis. 
D)    points 60° below the positive x axis while   points 30° above the positive y axis. 
E)    points 60° below the positive x axis while   points 30° below the positive y axis.

Question 13

A physics text has 544 sheets (1088 pages) and is 34.3 millimeters thick between the inside front cover and the inside back cover.What is the thickness of a single sheet?

Accepted Answer

A) 6.36 × 10-4 m 
B) 3.16 × 10-2 m 
C) 6.28 × 10-3 m 
D) 7.24 × 10-6 m 
E) 6.30 × 10-5 m 
A) 6.36 × 10-4 m 
B) 3.16 × 10-2 m 
C) 6.28 × 10-3 m 
D) 7.24 × 10-6 m 
E) 6.30 × 10-5 m

Question 14

A bird flies 25.0 m in the direction 55° east of south to its nest on a cliff.The bird then flies 75.0 m in the direction 55° west of north to the top of a tree.What are the northward and westward components of the resultant displacement of the bird from its nest? northward westward

Accepted Answer

A) 29 m 41 m 
B) 41 m 29 m 
C) 35 m 35 m 
D) 81 m 57 m 
E) 57 m 81 m 
A) 29 m 41 m 
B) 41 m 29 m 
C) 35 m 35 m 
D) 81 m 57 m 
E) 57 m 81 m

Question 15

Which one of the following expressions may be used to correctly find the angle $\theta$ in the drawing?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

Which expression is false concerning the vectors shown in the sketch?

Accepted Answer

A)    =   +
  
B)    +   = -
  
C)    +   +
  = 0 
D) C 2 + B 2 = C 2 
A)    =   +
  
B)    +   = -
  
C)    +   +
  = 0 
D) C 2 + B 2 = C 2

Question 17

Which one of the following statements concerning vectors and scalars is false?

Accepted Answer

A) In calculations, the vector components of a vector may be used in place of the vector itself. 
B) It is possible to use vector components that are not perpendicular. 
C) A scalar component may be either positive or negative. 
D) A vector that is zero may have components other than zero. 
E) Two vectors are equal only if they have the same magnitude and direction. 
A) In calculations, the vector components of a vector may be used in place of the vector itself. 
B) It is possible to use vector components that are not perpendicular. 
C) A scalar component may be either positive or negative. 
D) A vector that is zero may have components other than zero. 
E) Two vectors are equal only if they have the same magnitude and direction.

Question 18

A surveyor wants to find the distance across a river.A stake is placed on each bank of the river as shown in the figure.She measures a distance of 30.0 m from one stake to another on the same side of the river, thus finding the third vertex on a right triangle.She then measures the angle $\theta$ and finds it equal to 75.9°.What is the distance across the river?

Accepted Answer

A) 89.2 m 
B) 15.3 m 
C) 119 m 
D) 268 m 
E) 29.0 m 
A) 89.2 m 
B) 15.3 m 
C) 119 m 
D) 268 m 
E) 29.0 m

Question 19

Three sticks are arranged to form a right triangle.If the lengths of the three sticks are 0.47 m, 0.62 m and 0.78 m, what are the three angles of the triangle?

Accepted Answer

A) 90°, 45°, and 45° 
B) 90°, 62°, and 28° 
C) 90°, 59°, and 31° 
D) 90°, 48°, and 42° 
E) 90°, 53°, and 37° 
A) 90°, 45°, and 45° 
B) 90°, 62°, and 28° 
C) 90°, 59°, and 31° 
D) 90°, 48°, and 42° 
E) 90°, 53°, and 37°

Question 20

The x and y components of a displacement vector are -3.00 m and +4.00 m, respectively.What angle does this vector make with the positive x axis?

Accepted Answer

A) 233° 
B) 127° 
C) -53.0° 
D) 53.0° 
E) 37.0° 
A) 233° 
B) 127° 
C) -53.0° 
D) 53.0° 
E) 37.0°

Exam 1: Introduction and Mathematical Concepts

A candy shop sells a pound of chocolate for $ 10.85.What is the price of 1.50 kg of chocolate at the shop?

A force, , of magnitude 2.0 N and directed due east is exerted on an object.A second force exerted on the object is = 2.0 N, due north.What is the magnitude and direction of a third force, , which must be exerted on the object so that the resultant force is zero?

A runaway dog walks 0.64 km due north.He then runs due west to a hot dog stand.If the magnitude of the dog's total displacement vector is 0.91 km, what is the magnitude of the dog's displacement vector in the due west direction?

What is the angle between the vectors and - when they are drawn from a common origin?

How far did the boat travel from the point where the distress call was made to the point where the boat was found? In other words, what is the magnitude of vector ?

A displacement vector is 23 km in length and directed 65° south of east.What are the components of this vector? Eastward Component Southward Component

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

Two vectors and are added together to form a vector .The relationship between the magnitudes of the vectors is given by A + B = C.Which one of the following statements concerning these vectors is true?

Which one of the following is an SI base unit?

Which one of the following pairs of units may not be added together, even after the appropriate unit conversions have been made?

A displacement vector has a magnitude of 810 m and points at an angle of 18° above the positive x axis.What are the x and y scalar components of this vector? x scalar component y scalar component

A physics text has 544 sheets (1088 pages) and is 34.3 millimeters thick between the inside front cover and the inside back cover.What is the thickness of a single sheet?

A bird flies 25.0 m in the direction 55° east of south to its nest on a cliff.The bird then flies 75.0 m in the direction 55° west of north to the top of a tree.What are the northward and westward components of the resultant displacement of the bird from its nest? northward westward

Which one of the following expressions may be used to correctly find the angle θ\thetaθ in the drawing?

Which expression is false concerning the vectors shown in the sketch?

Which one of the following statements concerning vectors and scalars is false?

Three sticks are arranged to form a right triangle.If the lengths of the three sticks are 0.47 m, 0.62 m and 0.78 m, what are the three angles of the triangle?

The x and y components of a displacement vector are -3.00 m and +4.00 m, respectively.What angle does this vector make with the positive x axis?

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

Which one of the following expressions may be used to correctly find the angle $\theta$ in the drawing? $Which one of the following expressions may be used to correctly find the angle \theta in the drawing?$