Practice Exam 1 Physical Analysis, Fall 2010
Problem 1. True/False. For each of the following statements, write out your answer as either TRUE or
FALSE. Then give a short but complete explanation or c
Physical Analysis, 33-231 Homework Assignment 4
Due MONDAY, September 20, 2010.
dy
Problem 1. (a) Using partial fractions, solve the dierential equation: (x2 1) dx = 2y for y(x),
given the initial con
Physical Analysis, 33-231 Homework Assignment 3
Due Wednesday, September 15, 2010.
Problem 1. Many new cars are now wired so that their headlights are always on whenever the engine
is running, even in
Physical Analysis, 33-231 Homework Assignment 2
Due Wednesday, September 8, 2010.
1) Estimate the magnitude of the orbital angular momentum of the Earth about the Sun. Remember
that the angular moment
Physical Analysis, 33-231 — Solutions to Exam 2
Fall Semester — 2010
Problem 1. (a) To ﬁnd the critical points, we set: % = y2(y w 2)(y + 3) = 0, which has solutions
ofc = 0, 2, "-3. For c = 0, if 0 <
Physical Analysis, 33-231 Solutions to Practice Exam 3
Fall Semester 2010
Problem 1. (a) The characteristic equation is: 9r 2 + 12r + 4 = 0. So we get:
r =
12
(12)2 (4)(9)(4)
2
= .
3
18
Thus, this is
Physical Analysis, 33—231 — Solutions to Exam 2
Fall Semester - 2009
Problem 1._ (a) The gain in population in a time At due to births is: AP(births) = ﬁPAt = (60 +-
ﬁlP) PAt = [0.01P+0.001P2]At. The
Solutions to Practice Exam 1, Physical Analysis Fall Semester 2010
Problem 1. (a) TRUE: You should have done the following calculation:
(1 kg) (1000 gm/kg)
= 103 gm/cm3 .
3 (100 cm/m)3
(1 m)
(b) FALSE
EXAM 2
Physical Analysis, 33-231
October 27, 2009
NAME:
No calculators, books, or notes are allowed for this exam.
Read each problem carefully before attempting to solve it.
Explain briey but compl
Practice Exam 3 Physical Analysis, 33-231, Fall 2010
Problem 1.
(a) (10 points) Solve the dierential equation:
d2 y
dy
9 2 + 12
+ 4y = 0
dx
dx
for y(x), given the initial conditions y(1) = 9 and dy(1)
1
Order-of-Magnitude/Fermi Problems
T. Ferguson, August 19, 2010.
(This note is based on one originally written by Prof. R. Holman.)
1.1
Introduction
One skill that all physicists should possess is th