Phys103, F15, Homework 1
Due Tuesday, 10/6, at 5PM in box in Broida lobby
Make sure to fully show your work and explain steps.
1. Determine the transformation matrix that would describe the net effect of the following
series of coordinate transformations:
Phys103, F14, Homework 2
Due Tuesday, 10/21, at noon in box in Broida lobby
Make sure to fully show your work and explain steps.
1. Taylor 2.6(b)
2. Taylor 2.8
3. Taylor 2.10
4. Taylor 2.12
5. Taylor 2.24
6. Taylor 2.41
7. Taylor 2.55
8. A sand-spraying l
Phys103, F14, Homework 1
Due Tuesday, 10/14, at 10AM in box in Broida lobby
Make sure to fully show your work and explain steps.
1. Determine the transformation matrix that would describe the net effect of the following
series of coordinate transformation
Homework 2 Solutions
Physics 103
Fall 2014
1 Taylor 2.6(b)
We begin with the equation for the position of an object dropped from rest, taking into account air
resistance. This equation is
y(t) = vter t + (vyo vter ) 1 et
As we are dropping the ball from
Homework 4 Solutions
Physics 103
Fall 2014
1 Taylor 4.8
Consider a small frictionless puck perched at the top of a xed sphere of radius R. If the puck is
given a tiny nudge so that it begins to slide down, through what vertical height will it descend
befo
Homework 7 Solutions
Physics 103
Fall 2014
1 Taylor 14.4
The cross section for scattering a certain nuclear particle by a copper nucleus is 2.0 barns. If 109 of
these particles are red through a copper foil of thickness 10 m, how many particles are scatte
Homework 1 Solutions
Physics 103
Fall 2014
Transformation Matrices
Determine the transformation matrix that would describe the net eect of the following series
of coordinate transformations: a 60 clockwise rotation about the y-axis; a 90 counter-clockwise
Homework 4 Solutions
Physics 103
Fall 2014
1 Taylor 4.8
First, we set up a convenient coordinate system as illustrated in the following gure.
FN
h
h
0
mg
R
Figure 1: Above we draw a xed sphere of radius R. Let the positive h axis be pointing upwards,
with
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Phys103 F15 Midterm
Form A
Name:
Do not begin until instructed to do so. Make sure to fully show your work and explain steps.
If you nish early, please do not distract your classmates by climbing over them to leave the
room. Just close your exam and take
Phys103, F14, Homework 8
Due Monday, 12/7, by 5:00 PM in box in Broida lobby
Make sure to fully show your work and explain steps.
To facilitate ordering the graded homeworks and returning them to you, please write your
lastname in block letters on the upp
Homework 8 Solutions
Physics 103
1. Taylor 15.7
The muons created by cosmic rays in the upper atmosphere rain down more-or-less uniformly
on the earths surface, although some of them decay on the way down, with a half-life of
about 1.5 s (measured in thei
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Taylor 5.2 The potential energy of two atoms in a molecule can sometimes be
approximated by the Morse function,
2
U (r) = A [(e(Rr)/S 1) 1]
where r is the distance between the two atoms and A, R, and S are positive
constants with S < R. Sketch this functi
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Phys 104 Section 3
Gabriel
Problem 0. Consider a pendulum of length l and mass m suspended inside a railroad car that is
being forced to accelerate with a constant acceleration a. Write down the Lagrangian for the system
and the equation of motion for the
Homework 3 Solutions
Physics 104
Winter 2016
Taylor 9.1
Be sure you understand why a pendulum in equilibrium hanging in a car that is accelerating forward
tilts backward, and then consider the following: A helium balloon is anchored by a massless string
t
S
S
S0
S0
m
A
S
mA
F0
mr = F0
S0
S
mA
S
S0
Q
@Q
@t
=
S0
@Q
@t
S
+Q
@r
@t S0
t=0
@r
@t S
S
mr = F0 + Fcor + Fcf
where
Fcor = 2mr
and
Fcf = m( r)
F0
tan = (RE 2 sin 2)/(2g)
g
h = 8, 000
z
y
Phys103, F16, Homework 4
Due Friday, 11/4, at 4 PM in box in Broida lobby
Make sure to fully show your work and explain steps.
To facilitate ordering the graded homeworks and returning them to you, please write your
last name in block letters on the upper
Phys103, F16, Homework 6
Due Tuesday, 11/22, at 5:00 PM in box in Broida lobby
Make sure to fully show your work and explain steps.
To facilitate ordering the graded homeworks and returning them to you, please write your
lastname in block letters on the u