Question 1

What is the charge on 1.0 kg of protons? (e = 1.60 × 10-19 C,mproton = 1.67 × 10-27 kg)

Accepted Answer

A) 1.0 C 
B) 1000 C 
C) 9.6 × 107 C 
D) 6.0 × 1026 C 
E) 6.0 × 1023 C 
A) 1.0 C 
B) 1000 C 
C) 9.6 × 107 C 
D) 6.0 × 1026 C 
E) 6.0 × 1023 C

Question 2

If a charge generator builds a negative static charge of - $7.00 \mu \mathrm { C } \text {, }$ how many electrons are transferred to it during this process.(e = 1.60 × 10-19 C)

Accepted Answer

A) 4.38 × 1013 
B) 7.0 
C) 1.12 × 10-18 
D) 43.8 
A) 4.38 × 1013 
B) 7.0 
C) 1.12 × 10-18 
D) 43.8

Question 3

Two tiny particles having charges of +5.00 μC and +7.00 μC are placed along the x-axis.The +5.00-µC particle is at x = 0.00 cm,and the other particle is at x = 100.00 cm.Where on the x-axis must a third charged particle be placed so that the net electrostatic force exerted on it by the other two particles is zero?

Accepted Answer

A) 4.58 cm 
B) 45.8 cm 
C) 50 cm 
D) 9.12 cm 
E) 91.2 cm 
A) 4.58 cm 
B) 45.8 cm 
C) 50 cm 
D) 9.12 cm 
E) 91.2 cm

Question 4

As shown in the figure,three small charges are equally spaced on the arc of a circle that is centered at the charge Q,where Q = +23 nC and all the other quantities are accurate to two significant figures.What is the magnitude of the net electric force exerted on the charge Q by the other three charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A) 2.6 × 10-4 N 
B) 1.7 × 10-4 N 
C) 2.1 × 10-4 N 
D) 3.1 × 10-4 N 
A) 2.6 × 10-4 N 
B) 1.7 × 10-4 N 
C) 2.1 × 10-4 N 
D) 3.1 × 10-4 N

Question 5

A1-N electrostatic force is exerted on each of the two point charges when they are 2 cm apart.If they are moved to a new separation of 8 cm,what is the magnitude of the electric force exerted on each of them?

Accepted Answer

A) 2 N 
B) 1/2 N 
C) 1/4 N 
D) 1/8 N 
E) 1/16 N 
A) 2 N 
B) 1/2 N 
C) 1/4 N 
D) 1/8 N 
E) 1/16 N

Question 6

Two small identically charged balls are a certain distance apart.The vectors in the figure show the magnitude and direction of the electrostatic force on each ball due to the other one.Suppose that the charge on the left ball is now doubled (represented by two plus signs).Which vector diagram below best represents the forces that are now exerted on each of the two balls?

Accepted Answer

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

Question 7

Electrically neutral objects cannot exert an electrical force on each other,but they can exert a gravitational force on each other.

Accepted Answer

A) True 
 B)False

Question 8

How far apart should two protons be if the electrical force of repulsion exerted on each one is equal to its weight on the earth? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2,e = 1.6 × 10-19 C,mproton = 1.67 × 10-27 kg)

Accepted Answer

Question 9

(a)
 
(b)
  
X and Y are two initially uncharged metal spheres on insulating stands,and they are in contact with each other.A positively charged rod R is brought close to X as shown in part (a)of the figure.Sphere Y is now moved away from X,as shown in part (b).What are the final charge states of X and Y?

Accepted Answer

A) Both X and Y are neutral. 
B) X is positive and Y is neutral. 
C) X is neutral and Y is positive. 
D) X is negative and Y is positive. 
E) Both X and Y are negative. 
A) Both X and Y are neutral. 
B) X is positive and Y is neutral. 
C) X is neutral and Y is positive. 
D) X is negative and Y is positive. 
E) Both X and Y are negative.

Question 10

A point charge Q1 = +6.0 nC is at the point (0.30 m,0.00 m); a charge Q2 = -1.0 nC is at (0.00 m,0.10 m),and a charge Q3 = +5.0 nC is at (0.00 m,0.00 m).What are the magnitude and direction of the net force exerted on the +5.0-nC charge by the other two charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

5.4 µN at

Question 11

Three equal charges +Q are at three of the corners of a square of side d.A fourth charge +Q of equal magnitude is at the center of the square as shown in the figure Which one of the arrows shown represents the sum of the forces exerted on the charge at the center of the square?

Accepted Answer

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

Question 12

The force of attraction that a -40.0 μC point charge exerts on a +108 μC point charge has magnitude 4.00 N.How far apart are these two charges? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

Accepted Answer

A) 2.10 m 
B) 3.67 m 
C) 3.12 m 
D) 2.49 m 
E) 1.13 m 
A) 2.10 m 
B) 3.67 m 
C) 3.12 m 
D) 2.49 m 
E) 1.13 m

Question 13

Two identical small charged spheres are a certain distance apart,and there is an electrostatic force of magnitude F that they exert on each other.With time,charge gradually diminishes on both spheres by leaking off.When each of the spheres has lost half its initial charge,what will be the magnitude of the electrostatic force exerted on each one?

Accepted Answer

A) 1/16 F 
B) 1/8 F 
C) 1/4 F 
D) 1/2 F 
E) 1/ $\sqrt { 2 }$ F 
A) 1/16 F 
B) 1/8 F 
C) 1/4 F 
D) 1/2 F 
E) 1/ $\sqrt { 2 }$ F

Question 14

Four point charges of equal magnitudes but with varying signs are arranged on three of the corners and at the center of the square of side d as shown in the figure.Which one of the arrows shown represents the sum of the forces exerted on the center charge?

Accepted Answer

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

Question 15

Three point charges are located on the x-axis at the following positions: Q1 = +2.00 μC is at x = 1.00 m,Q2 = +3.00 μC is at x = 0.00,and Q3 = -5.00 μC is at x = -1.00 m.What is the magnitude of the electric force exerted on Q2? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

Accepted Answer

A) 0.0540 N 
B) 0.135 N 
C) 0.158 N 
D) 0.0810 N 
E) 0.189 N 
A) 0.0540 N 
B) 0.135 N 
C) 0.158 N 
D) 0.0810 N 
E) 0.189 N

Question 16

How much energy is necessary to place three +2.0-µC point charges at the vertices of an equilateral triangle of side 2.0 cm if they started out extremely far away? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A) 4.5 J 
B) 5.4 J 
C) 6.7 J 
D) 7.6 J 
A) 4.5 J 
B) 5.4 J 
C) 6.7 J 
D) 7.6 J

Question 17

An electric dipole with ±5.0 μC point charges is positioned so that the positive charge is $1.0 \mathrm {~mm}$ to the right of the origin and the negative charge is at the origin.How much work does it take to bring a $3.0 - \mu \mathrm { C }$ point charge from very far away to the point x = 3.0 mm,y = 0.0 mm? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A) 23 J 
B) 110 J 
C) 19 J 
D) 49 J 
A) 23 J 
B) 110 J 
C) 19 J 
D) 49 J

Question 18

A negatively-charged plastic rod is brought close to (but does not touch)a neutral metal sphere that is connected to ground.After waiting a few seconds,the ground connection is removed (without touching the sphere),and after that the rod is also removed.The sphere is now

Accepted Answer

A) negatively charged. 
B) positively charged. 
C) neutral. 
A) negatively charged. 
B) positively charged. 
C) neutral.

Question 19

Three identical 3.0-µC charges are placed at the vertices of an equilateral triangle that measures 30 cm on a side.What is the magnitude of the electrostatic force exerted on any one of the charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A) 1.6 N 
B) 1.8 N 
C) 2.0 N 
D) 2.2 N 
E) 2.4 N 
A) 1.6 N 
B) 1.8 N 
C) 2.0 N 
D) 2.2 N 
E) 2.4 N

Question 20

A negatively-charged rod is brought close to (but does not touch)two neutral spheres that are in contact with each other but insulated from the ground.If the two spheres are then separated,what kind of charge will be on the spheres?

Accepted Answer

A) The sphere near the charged rod becomes positive and the other one becomes negative. 
B) The sphere near the charged rod becomes negative and the other one becomes positive. 
C) The spheres do not get any charge. 
D) Both spheres become negative. 
E) Both spheres become positive. 
A) The sphere near the charged rod becomes positive and the other one becomes negative. 
B) The sphere near the charged rod becomes negative and the other one becomes positive. 
C) The spheres do not get any charge. 
D) Both spheres become negative. 
E) Both spheres become positive.

Exam 15: Electric Charge force and Energy

What is the charge on 1.0 kg of protons? (e = 1.60 × 10-19 C,mproton = 1.67 × 10-27 kg)

If a charge generator builds a negative static charge of - 7.00μC, 7.00 \mu \mathrm { C } \text {, }7.00μC, how many electrons are transferred to it during this process.(e = 1.60 × 10-19 C)

A1-N electrostatic force is exerted on each of the two point charges when they are 2 cm apart.If they are moved to a new separation of 8 cm,what is the magnitude of the electric force exerted on each of them?

Electrically neutral objects cannot exert an electrical force on each other,but they can exert a gravitational force on each other.

How far apart should two protons be if the electrical force of repulsion exerted on each one is equal to its weight on the earth? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2,e = 1.6 × 10-19 C,mproton = 1.67 × 10-27 kg)

Three equal charges +Q are at three of the corners of a square of side d.A fourth charge +Q of equal magnitude is at the center of the square as shown in the figure Which one of the arrows shown represents the sum of the forces exerted on the charge at the center of the square?

The force of attraction that a -40.0 μC point charge exerts on a +108 μC point charge has magnitude 4.00 N.How far apart are these two charges? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

Four point charges of equal magnitudes but with varying signs are arranged on three of the corners and at the center of the square of side d as shown in the figure.Which one of the arrows shown represents the sum of the forces exerted on the center charge?

Three point charges are located on the x-axis at the following positions: Q1 = +2.00 μC is at x = 1.00 m,Q2 = +3.00 μC is at x = 0.00,and Q3 = -5.00 μC is at x = -1.00 m.What is the magnitude of the electric force exerted on Q2? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

How much energy is necessary to place three +2.0-µC point charges at the vertices of an equilateral triangle of side 2.0 cm if they started out extremely far away? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

A negatively-charged plastic rod is brought close to (but does not touch)a neutral metal sphere that is connected to ground.After waiting a few seconds,the ground connection is removed (without touching the sphere),and after that the rod is also removed.The sphere is now

Three identical 3.0-µC charges are placed at the vertices of an equilateral triangle that measures 30 cm on a side.What is the magnitude of the electrostatic force exerted on any one of the charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

A negatively-charged rod is brought close to (but does not touch)two neutral spheres that are in contact with each other but insulated from the ground.If the two spheres are then separated,what kind of charge will be on the spheres?

Introduction

Kinematics: Motion in One Dimension

Newtonian Mechanics

Applying Newtons Laws

Circular Motion

Impulse and Linear Momentum

Work and Energy

Extended Bodies at Rest

Rotational Motion

Gases

Static Fluids

Fluids in Motion

First Law of Thermodynamics

Second Law of Thermodynamics

The Electric Field

Dc Circuits

Magnetism

Electromagnetic Induction

Vibrational Motion

Mechanical Waves

Reflection and Refraction

Mirrors and Lenses

Wave Optics

Electromagnetic Waves

Special Relativity

Quantum Optics

Atomic Physics

Nuclear Physics

Particle Physics

Filters

What is the charge on 1.0 kg of protons? (e = 1.60 × 10^-19 C,m_proton = 1.67 × 10^-27 kg)

If a charge generator builds a negative static charge of - $7.00 \mu \mathrm { C } \text {, }$ how many electrons are transferred to it during this process.(e = 1.60 × 10^-19 C)

How far apart should two protons be if the electrical force of repulsion exerted on each one is equal to its weight on the earth? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²,e = 1.6 × 10^-19 C,m_proton = 1.67 × 10^-27 kg)

The force of attraction that a -40.0 μC point charge exerts on a +108 μC point charge has magnitude 4.00 N.How far apart are these two charges? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

Three point charges are located on the x-axis at the following positions: Q₁ = +2.00 μC is at x = 1.00 m,Q₂ = +3.00 μC is at x = 0.00,and Q₃ = -5.00 μC is at x = -1.00 m.What is the magnitude of the electric force exerted on Q2? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

How much energy is necessary to place three +2.0-µC point charges at the vertices of an equilateral triangle of side 2.0 cm if they started out extremely far away? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Three identical 3.0-µC charges are placed at the vertices of an equilateral triangle that measures 30 cm on a side.What is the magnitude of the electrostatic force exerted on any one of the charges? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)