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Chapter 2Motion in One Dimension
MULTIPLE CHOICE
1. The position of a particle moving along the x axis is given by x = (21 + 22t 6.0t2)m, where t is in s.
Chapter 1-Introduction
Student: _
1. Since 1983 the standard meter has been defined in terms of which of the following?
A. specific alloy bar housed at Sevres, France
B. wavelength of light emitted by
Chapter 11-Energy in Thermal Processes
Student: _
1. Arrange from smallest to largest: the BTU, the joule, and the calorie.
A. BTU, J, cal
B. J, cal, BTU
C. cal, BTU, J
D. J, BTU, cal
2. Of the follow
Physics 105 (Fall 2012) Week #3 Notes:
Comments on Newtons Laws and Forces
A.E. Charman
Department of Physics, University of California, Berkeley
(Dated: 9/5/12; Revised 9/21/12)
Here we continue our
Physics 105 (Fall 2012) Week #5 Notes:
Conservative Forces and Conservation of Energy
A.E. Charman
Department of Physics, University of California, Berkeley
(Dated: 9/21/12)
Here we continue our revie
Physics 105 (Fall 2012) Supplementary Notes: Chain Rules
H. Haggard and A.E. Charman
Department of Physics, University of California, Berkeley
(Dated: 9/29/12)
These are some supplementary notes on th
Making Sense of the Legendre Transform
R. K. P. Zia1 , Edward F. Redish2 , and Susan R. McKay3
arXiv:0806.1147v2 [physics.ed-ph] 4 Mar 2009
1
Department of Physics, Virginia Polytechnic Institute and
Rep. b o g . Phys. 56 (1993) 7 91458. Printed in the U K
General covariance and the foundations of general relativity:
eight decades of dispute
John D Norton
Department of History and Philosophy of Sc
Notes on Index Notation
The purpose of these notes is to introduce you to a very powerful tool used by physicists in
vector analysis, linear algebra, and tensor analysis: index notation. These notes a
Dierential Equations: Greens Function and Fourier Series
Methods
Fourier Series
Suppose youd like to solve the dierential equation
x+
b
k
F (t)
x+ x=
m
m
m
where F (t) is a periodic function with peri
A Primer on Dimensions and Units
Glen Thorncroft
Mechanical Engineering Department
Cal Poly State University, San Luis Obispo
1. Dimensions vs. Units
Nearly every engineering problem you will encounte
UNIVERSITY OF CALIFORNIA BERKELEY Structural Engineering,
Department of Civil Engineering
Mechanics and Materials
Fall 2002
Professor: S. Govindjee
A Quick Overview of Curvilinear Coordinates
1
Introd
Introduction to the Calculus of Variations
Jim Fischer
March 20, 1999
Abstract
This is a self-contained paper which introduces a fundamental problem in the calculus of variations, the problem of nding
Homework # 14 Solutions
1. Georgi 3.5
(a) Let x1 and x2 be the positions of mass 1 and 2 with respect to the left wall. x1 and x2
are small quantities.
1
1
T = m1 x2 + m2 x2 = M =
1
2
2
2
m1 0
0 m2
1
Physics 105 (Fall 2012) Week #4 Notes: Introduction to
Symmetries and Conservation Laws
A.E. Charman
Department of Physics, University of California, Berkeley
(Dated: 10/10/12)
Here we elaborate and e
Physics 105 (Fall 2012) Supplemental Notes: Coupled Harmonic
Oscillators and Normal Modes
A.E. Charman
Department of Physics, University of California, Berkeley
(Dated: 11/30/12)
Some explorations of
Physics 105 (Fall 2012) Week #4 Notes: Systems of Particles and
Conservation Laws
A.E. Charman
Department of Physics, University of California, Berkeley
(Dated: 9/5/12; Revised 9/21/12)
Here we contin
Chapter 12-The Laws of Thermodynamics
Student: _
1. The volume of an ideal gas changes from 0.40 to 0.55 m3 although its pressure remains constant at 50 000 Pa.
What work is done on the system by its
Chapter 10-Thermal Physics
Student: _
1. Which best describes the relationship between two systems in thermal equilibrium?
A. no net energy is exchanged
B. volumes are equal
C. masses are equal
D. zer
Chapter 9-Solids and Fluids
Student: _
1. Which state of matter is associated with the very highest of temperatures?
A. liquid
B. plasma
C. gas
D. solid
2. A copper wire of length 2.0 m, cross section
Multiple Choice
1. Which is not true of acceleration?
a. Speed can be constant, but acceleration can still take place.
b. It is a change in velocity per unit of time.
c. It is the slope of the displac
Chapter 2-Motion in One Dimension
Student: _
1. A change in a physical quantity w having initial value wi and final value wf is given by which of the
following?
A. wi - wf
B. wf - wi
C. (wf + wi)/2
D.
Assignment 12: Physics 105 Spring 2010
December 9, 2010
Problem: 16.4
If we make the change of variables
= x ct, = x + ct
=
+
,
= c
+c
x
t
Thus
2
2
c2 2
t2
x
u = c2
+
2
+
2
u = 4c2
2u
Problem
University of California, Berkeley
Physics 105 Practice Problems
A.E. Charman, E. Kur
Fall 2012
9. Molecular Mishmash [30 points]
Richard Feynman one remarked that, in the even of the collapse of civi
Midterm # 2 Solutions
1. (a) In the non-inertial frame of the rotating Earth, the river experiences the gravitational,
centrifugal, and Coriolis forces. The combination of gravity and the centrifugal
Physics 105, Fall 2011
Classical Mechanics
Haggard & Jeevanjee
List of Problems to Study for the Final Exam
Problem 1. (Sloshing wine)
Consider a wine glass which has a spherically shaped bowl. Assume
Department of Physics
UC Berkeley
Fall 2012
Some Tips for Solving Physics Problems
Here are a few suggested frameworks, approaches, and strategies attempting to summarize,
formalize, or capture what i
Physics 105 (Fall 2012) Week #2 Notes: Comments on Coordinates
A.E. Charman
Department of Physics, University of California, Berkeley
(Dated: 8/27/12)
Here we explore some important aspects of coordin
Homework # 13 Solutions
1. (a)
L =L+
Pi =
dF
F
F
= L + i qi +
dt
q
t
L
F
L
F
= i + i = pi + i
i
q
q
q
q
(b) The quick way to show this is to check if (q i , pi ) (q i , Pi ) is a canonical transformat
Homework # 12 Solutions
1. Energy is conserved since there is no work done by the non-conservative force the ground
exerts on the block (be it frictional or normal). If the edge of the block is constr