Solution
Physics 213
Problem 1
Heat Pump
Week 6
In the winter you probably want to heat your home. Although we traditionally think of heat as
only flowing from hot to cold (e.g., from inside your cozy home to the wintry outside), we also
know that we can
Physics 213
Last Name:
Discussion Section:
Midterm Exam
First Name
Discussion TA Name:
Fall 2014
NetID
Instructions
Turn off your cell phone and put it away.
Keep your calculator on your own desk. Calculators may not be shared.
This is a closed book exam.
Solution
s
Physics 213
Problem 1
Colliding Blocks and Internal Energy
Week 1
A 2 kg block having an initial kinetic energy of 16 J collides with a 6 kg block initially at rest.
KEi = 16 J
2 kg
6 kg
a) What is the initial momentum of the moving block?
KE =
Solution
Physics 213
Problem 3
Pressure Demonstration
h1
Week 1
h2
t
t
F
<F>
The drawing shows the apparatus we use in lecture to demonstrate how a gas exerts a pressure
on the walls of its container. A total of 228 ball bearings take 18 seconds to cascad
Physics 213
Problem 2
Boltzmann Distribution in atoms
Week 5
Its often useful to remotely sense the temperature of objects. Fortunately the Boltzmann
distribution of the occupancy of atomic states manifests itself in the spectrum of light emitted
from hot
Physics 213.
Practice Final Exam
Spring 2006
The next two questions pertain to the following situation:
Consider the following two systems:
A: three interacting harmonic oscillators with total
energy 6.
B: two interacting harmonic oscillators, with total
Solution
Physics 213
Problem 2
Energy sources: Coal
Week 6
A power plant burns coal to heat a boiler to 450 C. The waste heat leaves via a cooling tower at
60 C.
a) What is the highest percentage of the chemical energy (released
by burning the coal) that
The next four problems are related.
'consider a sealed container with a volume of 1 m3 filled with lx1023 helium atoms and
2x1023 molecules of nitrogen. Recall that helium is a monatomic gas and nitrogen is a
diatomic gas. Initially the temperature of the
1. A circular rod of length L = 2 meter and diameter d=2 cm is composed of a material
with a heat conductivity of = 6 W/m-K. One end is held at 100 C, the other at 0 C.
At what rate does the bar conduct heat?
a) 0.09 W
b) 0.18 W
c) 300 W
d) 0.0009 W
e) 0.
When you take the test
Read each problem carefully. Dont answer the wrong question.
Precisely state the question using the distinctions weve developed in
the course
Draw a picture, visualize the physics.
What do you think the answer is, intuitively?
Use t
The next four problems are related.
Consider a sealed container with a volume of 1 m3 filled with x helium atoms and
x molecules of nitrogen. Recall that helium is a monatomic gas and nitrogen is a
diatomic gas. Initially the temperature of the gas mixtur
Physics 213
Last Name:
Discussion Section:
Final Exam
First Name
Discussion TA Name:
Spring 2014
NetID
Instructions
Turn off your cell phone and put it away. This is a closed book exam.
You have 2 hours (120 minutes) to complete it. This is a multiple cho
Answer Key
Physics 213
1. c
2. b
3. b
4. e
5. c
6. d
7. d
8. a
9. d
10. b
11. c
12. b
13. e
14. c
15. a
16. e
17. c
18. d
19. b
20. b
21. a
22. a
23. a
Midterm Exam
Fall 2014
1. A circular rod of length L = 2 meter and diameter d=2 cm is composed of a material
with a heat conductivity of ! = 6 W/m-K. One end is held at 100 C, the other at 0 C.
At what rate does the bar conduct heat?
a) 0.09 W
b) 0.18 W
c) 300 W
d) 0.0009 W
e)
Halal
University Dining
Tentative Launch Date: Tuesday. September 12 th , 2016
IKE, ISR @ dinner & PAR @ Late Night
Learning Objectives
Defining Halal
Certification
Ordering Halal Ingredients in Residential Dining
Storage of Halal Ingredients
Cooking Hala
!NLLL
N
!22
4
C6
N,L
Solution
(4,2) = 6:
AB
CD
AC
BD
AD
BC
BC
AD
BD
AC
CD
AB
This can be solved using the binomial formula,
because each particle has two choices.
Many systems are described by binary distributions:
Random walk
Coin flipping
Electron sp
Physics 213.
Practice Final Exam
Spring 2013
The next two questions pertain to the following situation:
Consider the following two systems:
A: three interacting harmonic oscillators with total energy 6.
B: two interacting harmonic oscillators, with total
MATH 286 Conflict Midterm 2 Solutions
(1) Solve the initial value problem, where primes denote derivative with respect to x,
(
y 00 2y 0 + 5y = 0,
y(0) = 2, y 0 (0) = 4.
Solution The characteristic equation is r2 2r + 5 = 0, which has roots
2 4 20
r=
= 1
Math 286 Practice for Midterm 2
This is a closed-book, closed-notes exam. No electronic devices, including cellphones, headphones,
or calculation aids, will be permitted for any reason.
You will have 90 minutes.
I will provide the following formulas fo
Solutions to Math 286 Practice for Midterm 1
1. (15 points) Solve the following initial value problem for y(x):
y 00 + 2y 0 + 6y = 0
y 0 (0) = 2.
y(0) = 0;
The characteristic equation is
r2 + 2r + 6 = 0,
so by the quadratic formula we have roots
2 4 4 6
=
Solutions to Math 286 Practice for Midterm 2
1. (15 points) Answer the following multiple choice questions. You dont need to show your work, and
no partial credit will be given.
(a) For an n n matrix A, the equation Ax = 0 has nonzero solutions:
(D) when
Physics 213.
Last Name:
Discussion Section:
Practice Final Exam
First Name
Discussion TA Name:
Spring 2006
NetID
Instructions
This is a closed book exam. You have two hours (120) minutes to complete it.
1. Use a #2 pencil. Do not use a mechanical pencil o
Answer Key: Physics 213 - Midterm Exam - Spring 2014
1. b
2. a
3. e
4. b
5. c
6. b
7. b
8. c
9. b
10. a
11. b
12. c
13. b
14. c
15. a
16. a
17. a
18. a
19. a
20. c
21. d
22. a
23. a
24. a
Physics 213
Midterm Exam
Spring 2014
The next two problems are related.
Radon is a radioactive noble gas (atomic weight 0.222 kg/mole) that leaks from the ground and often gets trapped
in homes.
1. What is the average translational kinetic energy of a sin
Physics 213.
Practice Final Exam
Spring 2013
The next two questions pertain to the following situation:
Consider the following two systems:
A: three interacting harmonic oscillators with total energy 6.
B: two interacting harmonic oscillators, with total
Fall 2016 FINAL Review
If it seems like theres a lot of people, please compactify and
move in to some empty seats to help make room
FINAL EXAMS
This Wednesday at 1:30 pm
and Friday at 8:00 am
Review Session
right here, right now - Fall 2014 Final Exam
Lec