Physics
Physics
1st Edition
Walker
ISBN: 9780133256925
Table of contents
Textbook solutions

All Solutions

Page 727: Lesson Check

Exercise 28
Step 1
1 of 2
Just as the mechanical work done when you lift a box onto a shelf is stored as gravitational potential energy, the mechanical work done on charges (an electrical system) is also stored in form of $electric;potential;energy$. Suppose you have a positive charge in one hand and a negative charge in the other. The charges attract one another, so as you pull your hands apart, you exert a force and do work (it’s like stretching a spring|you have to do work to increase the amount of stretch). This mechanical work is stored in the electric field as electric potential energy. If you release the charges, the speed up as they race toward each other, converting their electric potential energy into kinetic energy.
Result
2 of 2
Mechanical energy is stored in the electric field as electric potential energy when work is done on an electrical system.{}
Exercise 29
Step 1
1 of 2
As a charge $q$ moves in the direction of the electric field, $vec{pmb E}$, the electric potential, $V$, decreases. In particular, if the charge moves a distance $d$, the electric potential decreases by the amount $Delta V = -Ed$.
Result
2 of 2
The electric potential decreases in the direction of the electric field.{}
Exercise 30
Step 1
1 of 2
Like many physical quantities, the electric potential obeys a simple $superposition$ principle. The total electric potential due to two or more charges is equal to the algebraic sum of the potentials due to the individual charges. By $algebraic;sum$ we mean that the potential of a given charge may be positive or negative. Thus, the algebraic sign of each potential must be taken into account when calculating the total potential. In particular, positive and negative contributions my cancel to give zero total potential at a given location.
Result
2 of 2
by linear superposition{}
Exercise 31
Step 1
1 of 2
There is a negative chare on the electron. As a result, the electron accelerates in the opposite direction of the electric field. Since the electric potential decreases in the direction of the electric field, we expect the electric potential to increase in the opposite direction, which is the direction of the electron’s motion. That we say the electron experiences an increasing electric potential as it moves in a region of space with nonzero electric field.{}
Result
2 of 2
increasing; negative charges move in the opposite direction of the electric field, which is the direction of increasing electric potential{}
Exercise 32
Step 1
1 of 1
Since ,electric potential is inversely related to distance ,it decreases with increasing distance .Thus,the electric potential at a distance of 1 m from the charge greater than the electric potential at a distance of 2 m
Exercise 33
Step 1
1 of 2
$text{color{#4257b2}Picture the Problem}$

The situation is shown in our sketch, with the given charge and points of interest at their appropriate locations. The charge $q;(=7.2;mu$C) located at the origin is separated by a distance $r_1$ from the point (3.0,0) and a distance $r_2$ from the point $(3.0,-3.0)$. We call the electric potential due to $q$ at $r_1$ $V_1$ and at $r_2$ $V_2$.

$text{color{#4257b2}Strategy}$

The electric potential due to the charge $q$ can be found using $V = kq/r$, with $r = r_1$ for the location (3.0,0) and $r = r_2$ for the location $(3.0,-3.0)$.

$text{color{#4257b2}Solution}$

$textbf{(a)}$ Applying $V_1 = kq/r_1$, with $q = 7.2;mu$C and $r_1 = 3.0$ m, we find

$$
V_1 = (8.99times10^9;mathrm{N}cdotmathrm{m}^2/mathrm{C}^2)timesfrac{7.2times10^{-6};mathrm{C}}{3.0;mathrm{m}} = 2.2times10^4;mathrm{V}
$$

$textbf{(b)}$ Applying $V_2 = kq/r_2$, with $q = 7.2;mu$C and $r_2 = 3sqrt{2}$ m = 4.2 m, we find

$$
V_2 = (8.99times10^9;mathrm{N}cdotmathrm{m}^2/mathrm{C}^2)timesfrac{7.2times10^{-6};mathrm{C}}{4.2;mathrm{m}} = 1.5times10^4;mathrm{V}
$$

Exercise scan

Result
2 of 2
$textbf{(a)}$ $2.2times10^4$ V                         $textbf{(b)}$ $1.5times10^4$ V
Exercise 34
Step 1
1 of 2
$text{color{#4257b2}Picture the Problem}$

The situation is shown in our sketch. The 4.5-$mu$C charge, denoted by $q$, moves in a region of uniform electric field, which we call $vec{pmb E}$. The charge moves a distance $d = 6.0$ m in the positive $x$ direction.

$text{color{#4257b2}Strategy}$

As the charge $q$ moves in the direction of the electric field, $vec{pmb E}$, the electric potential, $V$, decreases. In particular, if the charge moves a distance $d$, the electric potential decreases by the amount $Delta V = -Ed$. Then the change in electric potential energy of $q$ is found using $Delta PE = qDelta V$.

$text{color{#4257b2}Solution}$

The change in electric potential is

$$
Delta V = -Ed = (4.1times10^5;mathrm{N/C})(6.0;mathrm{m}) = -2.5times10^6;mathrm{V}
$$

Hence, the change in electric potential energy of the charge $q$ is

$$
Delta PE = qDelta V = (4.5times10^{-6};mathrm{C})(-2.5times10^6;mathrm{V}) = -11;mathrm{J}
$$

Exercise scan

Result
2 of 2
$-11$ J
Exercise 35
Step 1
1 of 2
Known:

$E=100$ V/m

$dl=169$ m

Solution:

Potential difference $V$ is given by

$$
V=Edl=left(100 {rm V/m}right)left(169 {rm m}right)=1.69times10^{4} {rm V}
$$

Result
2 of 2
$$
1.69times10^{4} {rm V}
$$
Exercise 36
Step 1
1 of 3
Known:

$$
q_{1}=+7.22 {rm mu C}=+7.22times10^{-6} {rm C}
$$

$$
q_{2}=-26.1 {rm mu C}=-26.1times10^{-6} {rm C}
$$

Electrostatic potential energy $U=-126$ J.

Solution:

The electrostatic potential energy is given by

$$
U=kfrac{q_{1}q_{2}}{r}
$$

or

$$
r=kfrac{q_{1}q_{2}}{U}=left(8.99times10^{9} {rm Nm^{2}/C^{2}}right)frac{left(+7.22times10^{-6} {rm C}right)left(-26.1times10^{-6} {rm C}right)}{left(-126 {rm J}right)}=1.34times10^{-2} {rm m}
$$

Step 2
2 of 3
Since the potential energy is negative here (attractive force), if we increase the distance, the potential energy will increase.
Result
3 of 3
$1.34times 10^{-2}$ m, increase
unlock
Get an explanation on any task
Get unstuck with the help of our AI assistant in seconds
New
Chapter 1: Introduction to Physics
Section 1.1: Physics and the Scientific Method
Section 1.2: Physics and Society
Section 1.3: Units and Dimensions
Section 1.4: Basic Math for Physics
Page 38: Assessment
Page 41: Standardized Test Prep
Chapter 2: Introduction to Motion
Section 2.1: Describing Motion
Section 2.2: Speed and Velocity
Section 2.3: Position-Time Graphs
Section 2.4: Equation of Motion
Page 66: Assessment
Page 71: Standardized Test Prep
Page 45: Practice Problems
Page 47: Practice Problems
Page 47: Lesson Check
Page 49: Practice Problems
Page 52: Practice Problems
Page 53: Lesson Check
Page 56: Practice Problems
Page 57: Lesson Check
Page 59: Practice Problems
Page 60: Practice Problems
Page 62: Practice Problems
Page 62: Lesson Check
Chapter 3: Acceleration and Acceleration Motion
Section 3.1: Acceleration
Section 3.2: Motion with Constant Acceleration
Section 3.3: Position-Time Graphs for Constant Acceleration
Section 3.4: Free Fall
Page 105: Assessment
Page 111: Standardized Test Prep
Chapter 4: Motion in Two Dimensions
Section 4.1: Vectors in Physics
Section 4.2: Adding and Subtracting Vectors
Section 4.3: Relative Motion
Section 4.4: Projectile Motion
Page 144: Assessment
Page 149: Standardized Test Prep
Chapter 5: Newton’s Laws of Motion
Section 5.1: Newton’s Laws of Motion
Section 5.2: Applying Newton’s Laws
Section 5.3: Friction
Page 180: Assessment
Page 187: Standardized Test Prep
Chapter 6: Work and Energy
Section 6.1: Work
Section 6.2: Work and Energy
Section 6.3: Conservation of Energy
Section 6.4: Power
Page 220: Assessment
Page 227: Standardized Test Prep
Page 191: Practice Problems
Page 193: Practice Problems
Page 196: Lesson Check
Page 196: Practice Problems
Page 199: Practice Problems
Page 201: Practice Problems
Page 203: Practice Problems
Page 204: Practice Problems
Page 205: Practice Problems
Page 206: Lesson Check
Page 209: Practice Problems
Page 211: Lesson Check
Page 213: Practice Problems
Page 214: Practice Problems
Page 215: Practice Problems
Page 216: Lesson Check
Chapter 7: Linear Momentum and Collisions
Section 7.1: Momentum
Section 7.2: Impulse
Section 7.3: Conservation of Momentum
Section 7.4: Collisions
Page 260: Assessment
Page 265: Standardized Test Prep
Chapter 8: Rotational Motion and Equilibrium
Section 8.1: Describing Angular Motion
Section 8.2: Rolling Motion and the Moment of Inertia
Section 8.3: Torque
Section 8.4: Static Equilibrium
Page 300: Assessment
Page 305: Standardized Test Prep
Page 269: Practice Problems
Page 271: Practice Problems
Page 272: Practice Problems
Page 275: Practice Problems
Page 275: Lesson Check
Page 277: Practice Problems
Page 280: Lesson Check
Page 284: Practice Problems
Page 286: Practice Problems
Page 287: Practice Problems
Page 289: Lesson Check
Page 294: Practice Problems
Page 295: Practice Problems
Page 296: Lesson Check
Chapter 9: Gravity and Circular Motion
Section 9.1: Newton’s Law of Universal Gravity
Section 9.2: Applications of Gravity
Section 9.3: Circular Motion
Section 9.4: Planetary Motion and Orbits
Page 336: Assessment
Page 341: Standardized Test Prep
Chapter 10: Temperature and Heat
Section 10.1: Temperature, Energy, and Heat
Section 10.2: Thermal Expansion and Energy Transfer
Section 10.3: Heat Capacity
Section 10.4: Phase Changes and Latent Heat
Page 378: Assessment
Page 383: Standardized Test Prep
Chapter 11: Thermodynamics
Section 11.1: The First Law of Thermodynamics
Section 11.2: Thermal Processes
Section 11.3: The Second and Third Laws of Thermodynamics
Page 410: Assessment
Page 413: Standardized Test Prep
Chapter 12: Gases, Liquids, and Solids
Section 12.1: Gases
Section 12.2: Fluids at Rest
Section 12.3: Fluids in Motion
Section 12.4: Solids
Page 446: Assessment
Page 451: Standardized Test Prep
Chapter 13: Oscillations and Waves
Section 13.1: Oscillations and Periodic Motion
Section 13.2: The Pendulum
Section 13.3: Waves and Wave Properties
Section 13.4: Interacting Waves
Page 486: Assessment
Page 491: Standardized Test Prep
Chapter 14: Sound
Section 14.1: Sound Waves and Beats
Section 14.2: Standing Sound Waves
Section 14.3: The Doppler Effect
Section 14.4: Human Perception of Sound
Page 523: Assessment
Page 527: Standardized Test Prep
Page 495: Practice Problems
Page 496: Practice Problems
Page 500: Practice Problems
Page 501: Lesson Check
Page 503: Practice Problems
Page 504: Practice Problems
Page 506: Practice Problems
Page 506: Lesson Check
Page 510: Practice Problems
Page 511: Practice Problems
Page 512: Lesson Check
Page 514: Practice Problems
Page 516: Practice Problems
Page 517: Practice Problems
Page 519: Lesson Check
Chapter 15: The Properties of Lights
Section 15.1: The Nature of Light
Section 15.2: Color and the Electromagnetic Spectrum
Section 15.3: Polarization and Scattering of Light
Page 557: Assessment
Page 563: Standardized Test Prep
Chapter 16: Reflection and Mirrors
Section 16.1: The Reflection of Light
Section 16.2: Plane Mirrors
Section 16.3: Curved Mirrors
Page 590: Assessment
Page 595: Standardized Test Prep
Chapter 17: Refraction and Lenses
Section 17.1: Refraction
Section 17.2: Applications of Refraction
Section 17.3: Lenses
Section 17.4: Applications of Lenses
Page 629: Assessment
Page 635: Standardized Test Prep
Chapter 18: Interference and Diffraction
Section 18.1: Interference
Section 18.2: Interference in Thin Films
Section 18.3: Diffraction
Section 18.4: Diffraction Gratings
Page 668: Assessment
Page 673: Standardized Test Prep
Chapter 19: Electric Charges and Forces
Section 19.1: Electric Charge
Section 19.2: Electric Force
Section 19.3: Combining Electric Forces
Page 698: Assessment
Page 703: Standardized Test Prep
Chapter 20: Electric Fields and Electric Energy
Section 20.1: The Electric Field
Section 20.2: Electric Potential Energy and Electric Potential
Section 20.3: Capacitance and Energy Storage
Page 738: Assessment
Page 743: Standardized Test Prep
Chapter 21: Electric Current and Electric Circuits
Section 21.1: Electric Current, Resistance, and Semiconductors
Section 21.2: Electric Circuits
Section 21.3: Power and Energy in Electric Circuits
Page 775: Assessment
Page 781: Standardized Test Prep
Chapter 22: Magnetism and Magnetic Fields
Section 22.1: Magnets and Magnetic Fields
Section 22.2: Magnetism and Electric Currents
Section 22.3: The Magnetic Force
Page 810: Assessment
Page 815: Standardized Test Prep
Chapter 23: Electromagnetic Induction
Section 23.1: Electricity from Magnetism
Section 23.2: Electric Generators and Motors
Section 23.3: AC Circuits and Transformers
Page 844: Assessment
Page 849: Standardized Test Prep
Chapter 24: Quantum Physics
Section 24.1: Quantized Energy and Photons
Section 24.2: Wave-Particle Duality
Section 24.3: The Heisenberg Uncertainty Principle
Page 876: Assessment
Page 881: Standardized Test Prep
Chapter 26: Nuclear Physics
Section 26.1: The Nucleus
Section 26.2: Radioactivity
Section 26.3: Applications of Nuclear Physics
Section 26.4: Fundamental Forces and Elementary Particles
Page 944: Assessment
Page 947: Standardized Test Prep