Final Exam ReviewPhys 221SUPPLEMENTAL INSTRUCTION

Good Luck!

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

• Simple Harmonic Motion, damped and forced oscillation

• Sound

• Energy, Intensity, Resonance, Interference, Standing waves

• Temperature

• Thermometers, Thermal Expansion

• Heat and phase changes

• Ideal gases

• Kinetic model

• Thermodynamics

• 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?

Celsius OKAY. Kelvin OKAY.

Celsius OKAY. Kelvin OKAY.

Celsius NOT OKAY. Kelvin OKAY.

Celsius NOT OKAY. Kelvin OKAY.

Celsius NOT OKAY. Kelvin OKAY.

Celsius NOT OKAY. Kelvin OKAY.

HodgepodgeSOME REPRESENTATIVE REVIEW PROBLEMS