Good Luck!
Final Exam Review
Phys 221
SUPPLEMENTAL INSTRUCTION
Exam Overview

12 - 13 questions: Old material up to and including Exam 2

12 - 13 questions: New material since Exam 2

4 lab questions

27 total, 2 are extra credit
Question Style



About 1/3 of the problems will stress conceptual understanding

Don’t waste too much time on these

Think carefully!
Remaining 2/3 will be numerical problems to test ability to apply
these concepts

Know your formula sheet

Rule out wrong answers
27 Questions, 2 hours (4.4 minutes/problem)
A Few Ways to Prepare


Practice tests!

Do Canfield-Siklody tests first. (fall 2012, fall 2013)

If you don’t get something correct, make sure you can do it
again later correctly
Old exams from this semester




The concepts you missed before will probably be making an
appearance.
Quizzes (3 versions of each)
SI worksheets (if you need to target a specific concept)
Get to know your formula sheet beforehand
Can you answer questions about…
•
Pendulums
•
•
Sound
•
•
Simple Harmonic Motion, damped and forced oscillation
Energy, Intensity, Resonance, Interference, Standing waves
Temperature
•
Thermometers, Thermal Expansion
•
Heat and phase changes
•
Ideal gases
•
•
Thermodynamics
•
•
Kinetic model
First and second laws, Thermal processes, heat capacities
Heat engines and refrigerators
•
P-V diagrams, Carnot cycle, Entropy
•
•
•
•
Energy
•
Work kinetic energy theorem, Potential energy
•
Energy diagrams, Work, Power
Collisions
•
Momentum and its conservation
•
Impulse, Average force, elastic/inelastic collisions
Rotational Concepts
•
Center of Mass, Moments of Inertia, Rotational Energy
•
Torque, Statics, Angular momentum, massive pulleys
Gravitation/Fluids
•
Pressure, Buoyancy, Gravitational Potential Energy
•
•
•
•
Foundational Physics
•
Units, Dimensional analysis, Vector Operations
•
Relative motion and frames of reference
Simple Motion
•
One and two dimensional motion, constant acceleration
•
Projectile motion, kinematic equations
Newton’s Laws
•
Force and resultant acceleration, action-reaction pairs
•
Free-body diagrams
•
Tension, Normal force, pulleys
Complex Motion
•
Circular motion, friction, work, kinetic energy
•
Springs
If you missed something before:
fix it!
Questions
Careful with signs!

Don’t blindly follow the signs on your formula sheet.


Some of the negative and positive signs may lead you astray…
What should I do then?

Draw a picture.

For heat engines/refrigerators, remember that all of the energy that goes in
comes out as well.

Make sure that your equations represent the concepts you are aiming
for.

Does your answer make sense? (Remember that temperature in Kelvin is
always positive)
How do phase changes work again?
Unit, units, units

When using the ideal gas law with the R value on your formula
sheet, certain units must be used.

I recommend getting into the habit of always working in these units
for thermodynamics.


PV = nRT

P – Pressure in Pascals

V – Volume in m3

n – Number of moles

T – Temperature in Kelvin
Be careful to match mole units and molecular units: n, N, m, M are
somewhat confusing
Diagrams

Where is the critical point?

What about the triple point?

At 1000 bar, what are the melting
and boiling points?

At 10 bar, what are the melting
and boiling points?

For P-V diagram

How is temperature shown?
Wait! What temperature unit do I
use?

Never leave temperatures in Fahrenheit

To be safe, always use Kelvin

If you wish to save time

Changes in temperature, Celsius is okay
Situation
Must I convert to Kelvin, or
can I use Celsius?
𝑄 = 𝑚cΔ𝑇
Celsius OKAY. Kelvin
OKAY.
Δ𝐿 = 𝛼𝐿0 Δ𝑇
Celsius OKAY. Kelvin
OKAY.
𝑑𝑄
4
4 )
= 𝐴𝑒𝜎(𝑇𝑜𝑏𝑗
− 𝑇𝑠𝑢𝑟
𝑑𝑡
Celsius NOT OKAY. Kelvin
OKAY.
𝑝𝑉 = 𝑛𝑅𝑇
Celsius NOT OKAY. Kelvin
OKAY.
𝐾𝑡𝑟𝑎𝑛𝑠
3
= 𝑛𝑅𝑇
2
𝑇𝐶
𝑒 =1−
𝑇𝐻
Celsius NOT OKAY. Kelvin
OKAY.
Celsius NOT OKAY. Kelvin
OKAY.
Hodgepodge
SOME REPRESENTATIVE REVIEW PROBLEMS