Physics 204A
Charles "Gabby" Street was a catcher for the Washington Senators
from 1909 to 1911. He reputedly caught a 145g baseball dropped
from the top of the Washington Monument which is 152m tall.
Modern wind tunnel measurements suggest that the termi
Physics 204A
Problem Set #14
1. (a)Go on-line to find the radius and time of orbit for the International Space Station. The orbit
isnt circular, so just use an average value. Be careful to find the radius of orbit not the altitude.
If you get the altitude
Physics 204A
Problem Set #13
1. A 70.0kg painter hoists himself upward using the rope and pulley system
shown at the right. At some point while working his way upward, his
acceleration is 1.50m/s2. Find the tension in the rope at this time.
2. Two acrobat
Physics 204A
Problem Set #12
1. Cars without anti-lock brakes often lock their wheels during hard braking. In this case, the
tires skid along the road and experience kinetic friction. Anti-lock brakes keep the wheels from
skidding by pulsing the brakes so
Physics 204A
Problem Set #11
1. The weight of an apple on Earth is 1.20N. Find (a)the mass of the apple on Earth, (b)the mass
of the apple on the moon, and (c)the weight of the apple on the moon. The acceleration due to
gravity on the moon is 1.62m/s2.
2.
Physics 204A
Problem Set #10
1. For each of these situations, sketch the object of interest and indicate the forces acting on this
object. (a)A pumpkin falling toward the ground. (b)A piata hanging from a vertical rope. (c)A
physics book at rest on a tabl
Physics 204A
Problem Set #9
COMMENT ON PROBLEM SOLVING:
When you write up your solutions, you should have a document that is very helpful to you come
exam time. A problem solution that is just some equations, a few lines of algebra, and a couple of
number
Physics 204A
Problem Set #8
On September 14, 2008 a very unusual Major League
Baseball game was played between the Chicago Cubs and
the Houston Astros. Due to Hurricane Ike moving
through Houston the game was played in neither teams
home stadium. It was a
Physics 204A
Problem Set #7
1. Check out this flaming piano launched with a trebuchet (http:/www.youtube.com/watch?v=wVADKznOhY). Below is a sketch of its flight. At each image of the piano add in the velocity
vector, its horizontal and vertical component
Physics 204A
Problem Set #6
1. The images below are from individual frames of four different videos, each with the position
and velocity vectors superimposed. In all four cases, the acceleration is zero. For each given
frame, sketch the next frame in the
Physics 204A
Problem Set #5
COMMENT ON PROBLEM SOLVING:
When you write up your solutions, you should have a document that is very helpful to you come
exam time. A problem solution that is just some equations, a few lines of algebra, and a couple of
number
Physics 204A
Problem Set #4
COMMENT ON PROBLEM SOLVING:
When you write up your solutions, you should have a document that is very helpful to you come
exam time. A problem solution that is just some equations, a few lines of algebra, and a couple of
number
Physics 204A
Problem Set #3
COMMENT ON PROBLEM SOLVING:
When you write up your solutions, you should have a document that is very helpful to you come
exam time. A problem solution that is just some equations, a few lines of algebra, and a couple of
number
Physics 204A
Problem Set #2
When you write up your solutions, you should have a document that is very helpful to you come
exam time. A problem solution that is just some equations, a few lines of algebra, and a couple of
numbers not help you study at all.
Physics 204A
Problem Set #1
COMMENT ON PROBLEM SOLVING:
When you write up your solutions, you should have a document that is very helpful to you come
exam time. A problem solution that is just some equations, a few lines of algebra, and a couple of
number
The sum in problem 6.4a
The sum we need to complete is,
S=
n
mn
2
1
.
m2
This can be simplified using partial fractions,
1
1
1
1
1
1
S=
n m + n + m = 2n n m + n + m .
mn
2n m n
mn
The sums can each be broken into th
This problem is based on the paper Average value of position for the anharmonic
oscillator: Classical versus quantum results by R. W. Robinett in the American Journal
of Physics (vol. 65 (3) March 1997 pp.190-194). You may want to get a copy of this
paper
Problem 7.14 Comments
1. Use the ground state hydrogen wave function as the trial function but replace the
Bohr radius a with a variational parameter, b,
1 r
= ( b 3 ) 2 e b .
2
a2
b
a
2. You should find H = E
Dipole Matrix Elements
We really need to get good at the so called dipole matrix elements. In a few weeks
well learn how to do these in general. For now well settle for understanding some
of their symmetries.
Problem 18 Clarification
Here is my best effort to clear up the question.
1. Draw an energy level diagram showing the Bohr energies for the n = 3 and n =2
states. Save room to draw the fine structure l
Problem 621 Clarification
Lets agree to solve this problem be as described here.
1. Build a table like the one below.
State
HB (E2)
Hfs (2E2)
gJ
1
4
33
2,1, 1 , 2 , 2
16
1
2
3
The EPR Experiment
The article "Is The Moon There When Nobody Looks ? Reality and Quantum Theory" by N. David
Mermin (Physics Today, v38, pp 38-47, 1985) contains the cleanest description of an experiment that exhibits
different predictions for a "complet
Feynmans Proof of Maxwells Equations
Get a copy of the paper Feynmans Proof of Maxwells Equations by Freeman Dyson
published in AJP 58 (3) March 1990. This proof has many interesting points, not the least of which is
that Maxwells Equations appear to be d
Problem 6.6*
Given that a 2x2 portion of the unperturbed Hamiltonian matrix is degenerate, it might
look like,
E 0 0
0
.
H =
0
0 E
(a)Write the eigenvectors and their corresponding eigenvalues for H0.
The perturba
The Zeeman Effect - Calculating Splittings and Relative Intensities
In Phys 227 you might conduct an experiment to examine the splitting of the "mercury green line" in
the presence of a magnetic field. The green line has a wavelength of 546.1nm and is kno
Physics 435B - Partial Wave Analysis
The quantum scattering problem must have solutions of the form given in eq. 11.12,
e ikr
( r, ) Ae ikz + f ( ) .
r
It is our job to write this as a linear combination of the eigenfunctions of Schrodinger's
Equatio
Gauge Invariance Issues and the Aharanov-Bohm Effect
Replacing p p + qA in Schrodingers Equation has some interesting consequences due to
the vector potential for a given magnetic field is not being unique. Changing from one vector
potential to another is