Doing physics with scientific notebook: a problem-solving approach
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester
Wiley
2012
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XX, 505 S. graph. Darst. |
| ISBN: | 9780470665985 9780470665978 |
Staff View
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Record in the Search Index
| _version_ | 1804148751154020352 |
|---|---|
| adam_text | Contents
Preface
xv
So
we re all on the same page...
xvii
What is science?
xviii
To the Student
xix
To the Teacher
xx
Contact Information
xx
Acknowledgments
xxi
1
Introduction to SNB
1
Why SNB?
1
The Basics
2
Physics
à
la mode: Math
щЩ
or Text
Creating Mathematical Expressions
8
Evaluate
Щ
and Evaluate Numerically
Щ
11
Scientific Notation
13
Substitution and
Endpoint
Evaluation
14
Solving Equations
17
Solve Exact
|Щ
18
Solve Numeric
21
Systems of Equations
24
viii Contents
The Compute Menu
25
Simplify
[Hü
and Expand
Щ
25
Factor
26
Rewrite and Combine
28
Check Equality
29
Polynomials
31
Power Series
32
Definitions
ЩЦ
IIH
35
Other Good Stuff
37
Computing In-place
37
Making Assumptions About Variables
37
Limits
40
A Few Words About Calculus
H
42
Units
{№} 46
Converting Units
47
User-Defined Units
51
Plotting
52
Plot 2D Rectangular
Ц
54
Other 2-Dimensional Plots
55
Plot
3D
Rectangular
Щ
58
Cylindrical and Spherical Plots
60
Plotting Data
63
Fitting a Curve to Data
63
Differential Equations
67
Solve ODE Exact and Laplace
68
Solve ODE Numeric
70
Problems
75
Contents ix
2
One-Dimensional Kinematics
83
Constant Acceleration
83
Displacement and Position
83
Velocity and Acceleration
84
Equations of Motion
86
Signs of the Times
88
Free Fall
89
Varying Acceleration
91
Displacement, Velocity, and Acceleration
91
Equations of Motion
93
Gravity and Air Resistance
96
Resisting Air Resistance is Futile
97
Long-Distance Free Fall
99
Problems
102
3
Vectors
105
Components of a Vector
107
Magnitude and Direction
108
Adding Vectors
111
The Component Method
112
The SNB Method
113
The Graphing Method
115
Unit Vectors
119
Multiplying Vectors
120
Dot Product
121
Cross Product
122
Problems
125
χ
Contents
4
Projectile Motion
127
No Air Resistance
127
Trajectory
132
Time of Flight
134
Maximum Height
135
Linear Air Resistance
137
Trajectory
141
Time of Flight and Range
143
Maximum Height
145
Turn Off the Air!
146
Turn Down the Air!
147
Quadratic Air Resistance
151
Height-Dependent Air Resistance
152
Problems
154
5
Newton s Laws of Motion
157
Newton s First Law
157
Newton s Second Law for Constant Forces
158
Newton s Second Law for Varying Forces
165
Time-Dependent Forces
165
Velocity-Dependent Forces
167
Position-Dependent Forces
170
Newton s Third Law
173
Problems
175
6
Conservation Laws
179
Definitions
179
Conservation of Energy
181
Work
181
The Work-Energy Theorem
185
Potential Energy
186
Contents xi
Mechanical
Energy
is Conserved
188
A Complete Bookkeeping
191
Conservation of Momentum
193
Collisions in
1
-Dimension
193
Collisions in 2-Dimensions
196
Rockets
199
Deep Space
199
Launch
202
Air Resistance
207
Varying Gravity and Air Resistance
213
Problems
216
7
Circular Motion
221
Uniform Circular Motion
222
The Rotating Umbrella
224
Rotational Kinematics
227
The Compact Disk
229
Newton s Second Law and Circular Motion
233
Uniform Circular Motion and the 2nd Law
233
Non-Uniform Circular Motion and the 2nd Law
235
Sliding on a Sphere
236
Problems
248
8
Harmonic Motion
251
Simple Harmonic Motion, Simply
251
Energy and SHM
254
Not-Quite-as-Simple Harmonic Motion
255
Energy and SHM, Again
257
Damped Harmonic Motion
259
Underdamped
(β2
<
uĄ)
259
Critically Damped
(β2
=
lĄ)
261
Overdamped
{β2 > ω20)
262
xii Contents
Driven
Harmonie Motion 263
Constant Driving
Force,
no Damping
263
Sinusoidal Driving Force, no Damping
264
Constant Driving Force with Damping
265
Sinusoidal Driving Force with Damping
267
Small Oscillations
270
Not-so-Simple Harmonic Motion
272
Problems
275
9
Central Forces
279
Equations of Motion
279
Newtonian Gravitation
285
Kepler s Laws
286
The Effective Potential
292
Two Special Forces
296
The 3-d Harmonic Oscillator
296
The Inverse-Square Force
299
Numerical Stuff
303
Problems
305
10
Fluids
309
Density and Pressure
309
Static Fluids
311
Buoyancy
312
Fluids in Motion
314
Bernoulli s Equation
316
Applications of Bernoulli s Equation
318
A More Realistic Approach
320
Flow in a Pipe
321
Stokes Law
330
Problems
331
Contents xiii
11
Temperature and Heat
335
Temperature Scales
335
Absolute Temperature
337
Heat and Work
338
Heat Flow
339
Change in Temperature: Specific Heat
339
Change in State: Latent Heat
340
Calorimetry
341
Varying Specific Heat
344
The Specific Heat of Solids
345
Problems
353
12
Special Relativity
359
The Two Postulates
360
The Consequences
361
Time Dilation
363
Length Contraction
364
Addition of Velocities
365
Simultaneity
367
The
Lorentz
Transformation
367
Space-Time
370
Relativistic Momentum and Energy
375
Relativistic Collisions
378
Relativistic Dynamics
382
Four-Vectors
387
Problems
392
xiv Contents
A Topics in Classical Physics
397
Newton s Nose-Cone Problem
397
Simple Shapes
398
Frusta and Fudges
403
Newton s Minimizer
409
Indented Tips and the Minimizer
411
The Shape of the Eiffel Tower
414
An Interesting Classical Orbit
417
Fisher s Crystal
421
Problems
428
В
Topics in Modern Physics
435
The Tale of the Traveling Triplets
435
Trip
1 :
Constance goes to
Vega 435
Relativistic Interlude: Constant Acceleration
437
Trip
2:
Axel goes to
Vega 441
What happens on the way to
Vega... 443
Orbits in General Relativity
445
Angular Momentum
447
Precessing Ellipses and Periodic Orbits
451
Be the Ball: Embedding Diagrams
456
Classical Lifetime of a Hydrogen Atom
460
Missed It By That Much
460
Can Special Relativity Save the Day?
462
Quantum Mechanical Bound States
465
Infinite Square Well ( Particle in a Box )
467
Finite Square Well
470
V-shaped Linear Well
477
Problems
483
References and Suggested Reading
491
Index
495
DOING
PHYSICS
WITH SCIENTIFIC NOTEBOOK™
A PROBLEM-SOLVING APPROACH
Dr
JOSEPH GALLANT, University of Massachusetts
The goal of this book is to teach undergraduate students how to use Scientific
Notebook (SNB) to solve physics problems. SNB software combines word processing
and mathematics in standard notation with the power of symbolic computation. As
its name implies, SNB can be used as a notebook in which students set up a math or
science problem, write and solve equations, and analyze and discuss their results.
Written by a physics teacher with over
20
years experience, this text includes topics
that have educational value, fit within the typical physics curriculum, and show the
benefits of using SNB.
This easy-to-read text:
understanding of the relevant physics and to provide detailed instructions
on using SNB
Follows the traditional physics curriculum, so it can be used to supplemeni
teaching at all levels of undergraduate physics
Aimed at undergraduate physics and engineering students, this text teaches readers
how to use SNB to solve some everyday physics problems.
A word from the author: Solving real-world problems usually requires more
complicated mathematics than the idealized problems presented in introductory
textbooks. Those easy problems are a good place to start. Once you solve and
understand them, we ll add some complications and let SNB do the math. This
lets us solve interesting, more realistic problems, and this book will be a useful
reference for your entire undergraduate career.
A free trial version of SNB
is available for download at:
http://www.mackichan.com/licensing.net/dnloadreq.aspx
3
Also available
as an e-book
ISBN
978-0-470-66598-5
9 7 80470»66598
511
|
| any_adam_object | 1 |
| author | Gallant, Joseph |
| author_facet | Gallant, Joseph |
| author_role | aut |
| author_sort | Gallant, Joseph |
| author_variant | j g jg |
| building | Verbundindex |
| bvnumber | BV039817419 |
| classification_rvk | SK 955 |
| ctrlnum | (OCoLC)769989908 (DE-599)BVBBV039817419 |
| dewey-full | 530.07 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.07 |
| dewey-search | 530.07 |
| dewey-sort | 3530.07 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| edition | 1. publ. |
| format | Book |
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| indexdate | 2024-07-10T00:12:06Z |
| institution | BVB |
| isbn | 9780470665985 9780470665978 |
| language | English |
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| spelling | Gallant, Joseph Verfasser aut Doing physics with scientific notebook a problem-solving approach Joseph Gallant 1. publ. Chichester Wiley 2012 XX, 505 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Physik (DE-588)4045956-1 gnd rswk-swf Scientific Notebook (DE-588)4518356-9 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Physik (DE-588)4045956-1 s DE-604 Scientific Notebook (DE-588)4518356-9 s Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024677603&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024677603&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Gallant, Joseph Doing physics with scientific notebook a problem-solving approach Physik (DE-588)4045956-1 gnd Scientific Notebook (DE-588)4518356-9 gnd |
| subject_GND | (DE-588)4045956-1 (DE-588)4518356-9 (DE-588)4123623-3 |
| title | Doing physics with scientific notebook a problem-solving approach |
| title_auth | Doing physics with scientific notebook a problem-solving approach |
| title_exact_search | Doing physics with scientific notebook a problem-solving approach |
| title_full | Doing physics with scientific notebook a problem-solving approach Joseph Gallant |
| title_fullStr | Doing physics with scientific notebook a problem-solving approach Joseph Gallant |
| title_full_unstemmed | Doing physics with scientific notebook a problem-solving approach Joseph Gallant |
| title_short | Doing physics with scientific notebook |
| title_sort | doing physics with scientific notebook a problem solving approach |
| title_sub | a problem-solving approach |
| topic | Physik (DE-588)4045956-1 gnd Scientific Notebook (DE-588)4518356-9 gnd |
| topic_facet | Physik Scientific Notebook Lehrbuch |
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