Physics 21
Fall, 2012
Integrals
Example
A recent quiz question was to evaluate the denite integral
General Concepts
0
Its important to distinguish between denite integrals
and indenite integrals. A denite integral, written
b
f (x) dx,
a
(1)
is a number. O

Physics 21
Fall, 2012
Optics
Mirror Types:
Refraction at a Spherical Surface:
n2
n2 n1
n1
+
=
do
di
R
Snells Law:
n1 sin 1 = n2 sin 2
Convex Mirror
Total internal reection:
n1
(n1 < n2 )
sin c =
n2
Concave Mirror
Lens Types:
Lensmakers Equation:
F
Axis
F

PHY 182 The Physical World II
Spring 2014
HOMEWORK #10 Solution
A resistor R = 130 , an inductor L = 6.4 H and a capacitor C = 1.7 F are
connected in parallel across an ac source with voltage amplitude V = 160 V and
angular frequency = 60 Hz.
a) [2] Write

PHY 182 The Physical World II
Spring 2014
HOMEWORK #9 Solution
A capacitor with capacitance C = 1.4 F is first connected in an RC circuit with R = 2.0 k (switch S in position A).
The emf is provided by a Faraday disk of radius a = 10 cm rotating at a cons

PHY 182 The Physical World II
Spring 2014
HOMEWORK #8 Solution
A thin, very long straight wire carries a current I = 3.0 A. A point charge q = 0.32 C
passes by the wire, with a velocity v = 15 m/s making an angle = 60 with respect to
the perpendicular to

PHY 182 The Physical World II
Spring 2014
HOMEWORK #6 Solution
A certain compound has resistivity 0 = 9.1103 m at 20 C
and temperature coefficient = 0.007 C1. The material is
shaped into two small cuboids of length a = 3.1 cm and square
cross-section of s

PHY 182 The Physical World II
Spring 2014
HOMEWORK #7 Solutions
I1
Four resistors are connected in the circuit shown in the figure. The
batteries are ideal with emf 1 = 12 V and 2 = 8.0 V. The resistances are
also known: R1 = 25 , R2 = 9.5 , R3 = 20 , R4

PHY 182 The Physical World II
Spring 2014
HOMEWORK #5 Solution
z
A uniformly charged ring lays in the xy-plane, centered at the
origin as in the figure. The ring has radius a and a positive
electric charge q distributed uniformly around its circumference.

PHY 182 The Physical World II
Spring 2014
HOMEWORK #3 Solution
One of the earliest hot-air heat engines was invented in 1816 as a safer alternative to the precarious steam engines dominating
the full-fledged industrial revolution by a Scottish reverent na

PHY 182 The Physical World II
Spring 2014
HOMEWORK #4 Solutions
Consider a uniformly charged ring in the xy-plane, centered
at the origin as in the figure. The ring has radius a and a
positive charge q distributed evenly along its circumference.
z
a) [1]

PHY 182 The Physical World II
Spring 2014
HOMEWORK #2 Solution
A self indulging MU senior student is about to enjoy a martini celebrating the beginning
of a glorious semester. The 240 g mass of liquid contains ethanol and water (lets
ignore the olive and

Physics 2220
George W illiams
Fall 2010
THIRD M IDTERM - REVIEW PROBLEM S
Solution sets are available on the course web site. A data sheet is provided. Problems marked by "*" do not have
solutions.
1.
An electron is accelerated from rest by a potential di

Physics 2220
George W illiams
Fall 2010
FIRST MIDTERM - REVIEW PROBLEMS
A data sheet is provided (last page). You will find some problems involving gravity in the solution set. Ignore them.
The last four problems are from the first midterm exam of 2006. S

Physics 21
Fall, 2012
Line Integrals
-E
In class we showed that the potental dierence between
points a and b can be expressed as a line integral of the
electric eld,
Vb Va =
b
a
E dl.
C
f (x, y, z) dl.
(2)
You must parameterize the curve C by nding funct

Planetary Motion with Different Force Laws
Michael Fowler, UVa
Leapfrog Integration
Force Law: force = GMr1-2n
1.6
(For n = 1.5, this is the familiar GMm/r2 with planet m = 1)
1.4
so n = 0 is simple harmonic, n = 0.5 is constant force,
n = 1 force as inve

PHY 182 Final Test: Comprehensive Concept and Formula Sheet
THERMAL PHYSICS
NB: Do not add anything to the formula sheet except in the space specially assigned.
Constants:
Avogadro number:
NA = 6.021023 part./mol
Universal gas constant: R = 8.31 J/molK
Bo

PHY 182 Final Test Practice
Spring 2014
Although the actual final will have the same format as the midterms, for
more exercise this practice test contains 14 Questions and 6 Problems.
Questions: Attention! Make sure that you justify your answers explicitl

PHY 182 Test 3: Concept and Formula Sheet
NB: Do not write anything on this side of the formula sheet. Any extra information is to be added only on the other side of the form, in
the space specially assigned.
Electric Current and Resistors:
Ohms Law:
Devi

PHY 182 Test 1: Concept and Formula Sheet
NB: Do not write anything on this side of the formula sheet. Any extra information is to be added only on the other side of the
form, in the space specially assigned.
Thermodynamic Parameters:
Pressure P of force

Morrisville State College
Academics
Programs of Study
Course Listings
College Catalog
Schedules & Calendars
Academic Events Calendar
Academic Calendar 15-16
Academic Calendar 14-15
Final Exam Schedule
Norwich Final Exam Schedule
Online Academic

Space and time and
special relativity
Prof. Stephen Sekula
01/21/2010
Supplementary Material for
PHY 3305 (Modern Physics)
Table of contents
Lorentz and Einstein
Hundred-Meter Station
The Bern Clocktower
Live longer by commuting
Muons from cosmic rays
Ste

The beginning of the
modern era
Prof. Stephen Sekula
01/19/2010
Supplementary Material for
PHY 3305 (Modern Physics)
INformation
Course Website
Syllabus
www.physics.smu.edu/sekula/phy3305
Available on the above website
Communication
Office Hours or by App

Modern Physics (PHY 3305) - Lecture Notes
le:/home/sekula/Documents/Notebooks/Modern.
Modern Physics (PHY 3305)
Lecture Notes
Particles and Interactions: Antiparticles and Conservation Laws
SteveSekula, 27 April 2010 (created 27 April 2010)
no tags
Review

Modern Physics (PHY 3305) - Lecture Notes
le:/home/sekula/Documents/Notebooks/Modern.
Modern Physics (PHY 3305)
Lecture Notes
Nuclear Physics: Fission and Fusion (11.7)
SteveSekula, 19 April 2010 (created 12 April 2010)
Review
no tags
We completed our dis

Modern Physics (PHY 3305) - Lecture Notes
le:/home/sekula/Documents/Notebooks/Modern.
Modern Physics (PHY 3305)
Lecture Notes
Nuclear Physics: Nucleons and Binding (11.1-11.2)
SteveSekula, 6 April 2010 (created 6 April 2010)
Review
no tags
Last time, we c

PHY 182 The Physical World II
Spring 2014
HOMEWORK #3 Due Monday, Sep 23
Group: 182_
Principal coordinator: _
One of the earliest hot-air heat engines was invented in 1816 as a safer alternative to the precarious steam engines dominating
the full-fledged

Modern Physics (PHY 3305) - Lecture Notes
le:/home/sekula/Documents/Notebooks/Modern.
Modern Physics (PHY 3305)
Lecture Notes
HomeworkSolutions008
SteveSekula, 13 April 2010 (created 11 April 2010)
Point Distributions
no tags
Points were distributed as fo

Modern Physics (PHY 3305) - Lecture Notes
le:/home/sekula/Documents/Notebooks/Modern.
Modern Physics (PHY 3305)
Lecture Notes
HomeworkSolutions007
SteveSekula, 29 March 2010 (created 29 March 2010)
Point Distributions
no tags
Points were distributed as fo

Modern Physics (PHY 3305) - Lecture Notes
le:/home/sekula/Documents/Notebooks/Modern.
Modern Physics (PHY 3305)
Lecture Notes
HomeworkAssignment008
SteveSekula, 1 April 2010 (created 23 March 2010)
no tags
Expectations for the quality of your handed-in ho