Expert TA Problems are good problems to have.
You know it, and we know it. Students don’t learn physics by only listening to instructors describe the material. To close the loop and master the concepts presented in class, they need to practice by solving problems and applying the principles and methods taught in class.
Every aspect of Expert TA’s online homework and tutorial system supports the goal of helping students master physics by solving problems themselves.
Because problem solving is so crucial, Expert TA has created an Independent Library of problems unlike any other in the industry.
In·de·pend·ent (in’di-pen’dənt). adj. 1. Free from the influence or control of others. a) free from the rule of another; b) free from persuasion or bias; self-determined; self-reliant, etc.
The “Story” Behind the Library
The story of Expert TA’s Independent Library is the story of unintended consequences.
When we started out, we assumed that we would team up with publishers to build a problem library. Then, as we worked with authors and leading physics educators to develop some problems to test the advanced algorithms that are the backbone of Expert TA, we came to understand the ever-growing need for textbook independent solutions.
We share instructors’ and students’ concerns about the seemingly endless increase in costs of the “bundles” from publishers. We see the impact of the lack of fresh new problems as well as the unproductive consequences of the availability of problem solutions on the internet.
So we listened. We’ve made excellent educational tools affordable. We hired amazing contributors to help build our problem library. Our authors have outstanding credentials and real experience. This cadre of experts helps us add fresh, new problem content, expanding our Library regularly. We have a process to keep the solutions to our problems off the internet.
And, our detailed analytics point us to areas that need additional problems or more feedback modules so we can constantly improve our content to meet instructors’ and students’ needs.
Key Benefits of our Library
- Multi-step problems authored and individually vetted by physics experts
- Each problem independently peer-reviewed
- Largest collection of symbolic problems available on the market
- Five levels of difficulty to match your course
- Algebra-based, calculus-based, and conceptual-based problems
- Varied complexity, including quick, one-to-two part questions, multi-step questions, and more involved problems that capture more of the students’ work
- Randomized numbers and phrases for the majority of our problems
- Our ever-expanding library includes problem sets from OpenStax College’s free online College Physics text.
- Collect analytics to add problems and feedback to address common incorrect answers
Providing well-written and expertly vetted physics problems is the core of what we do at Expert TA.
Each of our deeply experienced team of more than 30 problem authors brings a unique perspective.
Our problems are written for today’s students by PhDs who understand first-hand how the right touch of hints and feedback at just the right time can help develop students’ problem solving skills.
If you are an educator who cares about student learning and are interested in contributing to our problem library as a problem author, reviewer, or in any other way, we want to hear from you. Please check our Careers page to review current openings for contributors. Or, send us an email with your resume so we can get to know each other better.
Viewing our Library
Our Library is easy to use and navigate. Problems are displayed similarly to the way they appear at the end of the chapter of a book. It’s easy to preview problems and to select the perfect ones for your assignment. There’s no digging through multiple screens. Everything you need is front and center.
In addition to making problems easy to view, we also allow you to filter problems by difficulty level and type to find exactly what you’re looking for.
Problem Difficulty
Our expert team of authors ranks problems from 1 to 5 in terms of difficulty within their category. Category is defined by the problem type (conceptual, algebra or calculus) and the Expert TA section. The ranking is a rough estimate based on how much skill and how much time it will take a student to complete a problem.
Here are the general definitions of difficulty levels in Expert TA.
- Level 1 problems are based on the most simple thing that can be reasonably asked. Usually no algebraic manipulations or unit conversions are required.
Level 1 Problem Example
- Level 2 problems are still easy, but slightly more difficult than Level 1. There may be some manipulations or unit conversions with one or two easier parts involved.
Level 2 Problem Example
- Level 3 problems require basic problem solving and mathematical skill. They test a common physical concept. Typically there are two to four easier parts involved.
Level 3 Problem Example
- Level 4 problems are harder. They typically require skills that students may not have or involve a more difficult physical concept. These range from three to six parts.
Level 4 Problem Example
- Level 5 problems are the most difficult problems in the system. They will typically be testing a difficult physical concept, require problem solving skills which many students may not have, or be quite long with more than five parts.
Level 5 Problem Example
Problem Type
The problem type filter can be used to choose problems based the type of calculations, if any, required. There are three possible types:
- Conceptual (CP): These problems typically do not involve any calculations, except those which are extremely trivial. An example might be “if the distance doubles, what happens to the force?”
Conceptual Problem Example
- Algebra (Alg): These are problems appropriate for algebra-based classes. No calculus ability is required.
Algebra Problem Example
- Calculus (Calc): These problems are appropriate for calculus-based classes. This does not mean that the problem will always involve calculus, but it may include parts that are not appropriate for an algebra-based class.
Calculus Problem Example
Table of Contents
Here is the Table of Contents for our Independent Library, including chapter and section names. To preview problems more in depth, contact us to set up a demonstration and trial access.
Units and Physical Quantities |
1.1 – Fundamental Elements |
1.2 – Density |
1.3 – Dimensional Analysis |
1.4 – Unit Conversions |
1.5 – Significant Figures |
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Vectors |
2.1 – Coordinate Systems |
2.2 – Vector and Scalar Quantities |
2.3 – Vector Properties |
2.4 – Vector Components and Unit Vectors |
|
1D Motion |
3.1 – Displacement, Velocity and Speed |
3.2 – Instantaneous Velocity and Speed |
3.3 – Acceleration |
3.4 – Motion Diagrams |
3.5 – One-Dimensional Motion with Constant Acceleration |
3.6 – Objects in Free Fall |
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2D Motion |
4.1 – Displacement, Velocity and Acceleration Vectors |
4.2 – Two-Dimensional Motion and Constant Acceleration |
4.3 – Projectile Motion |
4.4 – Uniform Circular Motion |
4.5 – Tangential and Radial Acceleration |
4.6 – Relative Motion |
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Newton’s Laws |
5.1 – Newton’s First Law and Inertial Frames |
5.2 – Mass |
5.3 – Newton’s Second Law |
5.4 – Gravity and Weight |
5.5 – Newton’s Third Law |
5.6 – Frictional Forces |
5.7 – Application of Newton’s Laws |
5.8 – Free body diagram drawings (equilibrium) |
5.9 – Free body diagram drawings (net acceleration) |
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Circular Motion |
6.1 – Newton’s Second Law Applied to Uniform Circular Motion |
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Work and Kinetic Energy |
7.1 – Work Done by a Constant Force |
7.2 – The Scalar Product of Two Vectors |
7.3 – Work Done by a Varying Force |
7.4 – Kinetic Energy and the Work-Kinetic Energy Theorem |
7.5 – Power |
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Potential Energy and Mechanical Energy |
8.1 – Potential Energy |
8.2 – Conservative and Nonconservative Forces |
8.3 – Conservative Forces and Potential Energy |
8.4 – Conservation of Energy |
8.5 – Work Done by Nonconservative Forces |
8.6 – The Principal of Work-Energy |
|
Momentum, Impulse and Collisions |
9.1 – Conservation of Linear Momentum |
9.2 – Impulse and Momentum |
9.3 – Collisions |
9.4 – Elastic and Inelastic Collisions in One Dimension |
9.5 – Two-Dimensional Collisions |
9.6 – The Center of Mass |
9.8 – Rocket Propulsion |
|
Rotation of a Rigid Object |
10.1 – Angular Displacement, Velocity and Acceleration |
10.2 – Rotational Kinematics |
10.3 – Angular and Linear Quantities |
10.4 – Rotational Energy |
10.5 – Calculation of Moments of Inertia |
10.6 – Torque (scalar analysis) |
10.7 – Torque and Angular Acceleration |
10.8 – Work, Power and Energy in Rotational Motion |
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Rotational Motion Dynamics |
11.1 – Rolling Motion of a Rigid Object |
11.2 – Torque (Cross-products) |
11.3 – Angular Momentum of a Particle |
11.4 – Angular Momentum of a Rotating Rigid Object |
11.5 – Conservation of Angular Momentum |
|
Equilibrium and Elasticity |
12.1 – The Conditions for Equilibrium |
12.2 – More on the Center of Gravity |
12.3 – Rigid Objects in Static Equilibrium |
12.4 – Elastic Properties of Solids |
|
Periodic Motion |
13.1 – Simple Harmonic Motion |
13.2 – The Block/Spring System Revisited |
13.3 – Energy of the Simple Harmonic Oscillator |
13.4 – The Pendulum |
13.5 – Comparing Simple Harmonic Motion with Uniform Circular Motion |
13.6 – Damped Harmonic Motion |
13.7 – Driven Harmonic Motion and Resonance |
|
Gravitation |
14.1 – Newton’s Law of Universal Gravitation |
14.2 – Measuring the Gravitational Constant |
14.3 – Free-Fall Acceleration and the Gravitational Force |
14.4 – Kepler’s Laws |
14.5 – The Law of Gravity and the Motion of Planets |
14.6 – The Gravitational Field |
14.7 – Gravitational Potential Energy |
14.8 – Energy Considerations in Planetary and Satellite Motion |
|
Fluid Mechanics |
15.1 – Pressure |
15.2 – Variation of Pressure with Depth |
15.3 – Pressure Measurements |
15.4 – Buoyant Forces and Archimedes’s Principle |
15.5 – Fluid Dynamics |
15.6 – Streamlines and the Equation of Continuity |
15.7 – Bernoulli’s Equation |
15.8 – Surface Tension and Capillary Action |
|
Mechanical Waves |
16.1 – Basic Variables of Wave Motion |
16.3 – One-Dimensional Traveling Waves |
16.4 – Superposition and Interference |
16.5 – The Speed of Waves on Strings |
16.7 – Sinusoidal Waves |
16.8 – Rate of Energy Transfer by Sinusoidal Waves |
|
Sound Waves |
17.1 – Speed of Sound Waves |
17.2 – Periodic Sound Waves |
17.3 – Intensity of Periodic Sound Waves |
17.5 – The Doppler Effect |
17.6 – Sound and Hearing |
17.7 – Ultrasound |
|
Superposition and Standing Waves |
18.1 – Superposition and Interference of Sinusoidal Waves |
18.2 – Standing Waves |
18.3 – Resonance |
18.4 – Standing Waves in Air Columns |
18.5 – Beats: Interference in Time |
|
Temperature |
19.2 – Thermometers and Temperature Scales |
19.3 – The Constant-Volume Gas Thermometer and the Kelvin Scale |
19.4 – Thermal Expansion of Solids and Liquids |
19.5 – Macroscopic Description of an Ideal Gas |
19.6 – The Kinetic Theory of Gases |
19.7 – Vapor Pressure and Partial Pressure |
|
Heat and the First Law of Thermodynamics |
20.1 – Heat and Internal Energy |
20.2 – Heat Capacity and Specific Heat |
20.3 – Latent Heat |
20.4 – Work and Heat in Thermodynamic Processes |
20.5 – The First Law of Thermodynamics |
20.6 – Some Applications of the First Law of Thermodynamics |
20.7 – Energy Transfer Mechanisms |
|
The Second Law of Thermodynamics and Applications |
21.1 – Heat Engines and the Second Law of Thermodynamics |
21.2 – Reversible and Irreversible Processes |
21.3 – The Carnot Engine |
21.5 – The Gasoline Engine |
21.6 – Heat Pumps and Refrigerators |
21.7 – Entropy |
21.8 – Entropy Changes in Irreversible Processes |
21.9 – Entropy on a Microscopic Scale |
|
Electric Charge and Electric Fields |
22.1 – Properties of Electric Charges |
22.2 – Insulators and Conductors |
22.3 – Coulomb’s Law |
22.4 – The Electric Field |
22.5 – Electric Field of a Continuous Charge Distribution |
22.6 – Electric Field Lines |
22.7 – Motion of Charged Particles in a Uniform Electric Field |
22.8 – Electric Field Calculations |
|
Gauss’s Law |
23.1 – Electric Flux |
23.2 – Gauss’s Law |
23.3 – Application of Gauss’s Law |
23.4 – Conductors in Electrostatic Equilibrium |
|
Electric Potential |
24.1 – Potential Difference and Electric Potential |
24.2 – Potential Differences in a Uniform Electric Field |
24.3 – Electric Potential and Potential Energy – Point Charges |
24.4 – Obtaining E From the Electric Potential |
24.5 – Electric Potential Due to Continuous Charge Distributions |
24.6 – Potential of a Charged Conductor |
|
Capacitance and Dielectrics |
25.1 – An Introduction to Capacitance |
25.2 – Calculation of Capacitance |
25.3 – Combining Capacitors |
25.4 – Energy Stored in a Charged Capacitor |
25.5 – Capacitors with Dielectrics |
|
Current and Resistance |
26.1 – Electric Current |
26.2 – Resistance and Ohm’s Law |
26.3 – Resistance and Temperature |
26.5 – A Model for Electrical Conduction |
26.6 – Electrical Energy and Power |
|
DC Circuits |
27.1 – Electromotive Force |
27.2 – Resistors in Series and in Parallel |
27.3 – Kirchhoff’s Rules |
27.4 – RC Circuits |
27.6 – Measuring Devices |
|
Magnetic Fields |
28.1 – The Magnetic Field |
28.2 – Magnetic Force on a Current-Carrying Conductor |
28.3 – Torque on a Current Loop in a Uniform Magnetic Field |
28.4 – Motion of a Charged Particle in a Magnetic Field |
28.5 – Applications of the Motion of Charged Particles in a Magnetic Field |
28.6 – The Hall Effect |
|
Sources of the Magnetic Field |
29.1 – The Biot Savart Law |
29.2 – The Magnetic Force Between Two Parallel Conductors |
29.3 – Ampère’s Law |
29.4 – The Magnetic Field of a Solenoid |
29.5 – Magnetic Flux |
|
Faraday’s Law |
30.1 – Faraday’s Law of Induction |
30.2 – Motional emf |
30.3 – Lenz’s Law |
30.4 – Induced emfs and Electric Fields |
30.5 – Generators and Motors |
30.7 – Maxwell’s Equations |
|
Inductance |
31.1 – Self-Inductance |
31.2 – RL Circuits |
31.3 – Energy in a Magnetic Field |
31.4 – Mutual Inductance |
31.5 – Oscillations in an LC Circuit |
31.6 – The RLC Circuit |
|
AC Circuits |
32.1 – AC Sources and Phasors |
32.2 – Resistors in an AC Circuit |
32.3 – Inductors in an AC Circuit |
32.4 – Capacitors in an AC Circuit |
32.5 – The RLC Series Circuit |
32.6 – Power in an AC Circuit |
32.7 – Resonance in a Series RLC Circuit |
32.8 – Transformers |
|
Electromagnetic Waves |
33.1 – Maxwell’s Equations and Hertz’s Discoveries |
33.2 – Plane Electromagnetic Waves |
33.3 – Energy Carried by Electromagnetic Waves |
33.4 – Momentum and Radiation Pressure |
33.6 – The Production of Electromagnetic Waves by an Antenna |
33.7 – The Spectrum of Electromagnetic Waves |
|
The Nature of Light and the Laws of Geometric Optics |
34.1 – The Nature of Light |
34.2 – Measurements of the Speed of Light |
34.4 – Reflection and Refraction |
34.5 – Dispersion and Prisms |
34.7 – Total Internal Reflection |
|
Geometric Optics |
35.1 – Images Formed by Flat Mirrors |
35.2 – Images Formed by Spherical Mirrors |
35.3 – Images Formed by Refraction |
35.4 – Thin Lenses |
35.6 – (Optional) The Camera |
35.7 – (Optional) The Eye |
35.8 – (Optional) The Simple Magnifier |
|
Interference of Light Waves |
36.1 – Conditions for Interference |
36.2 – Young’s Double-Slit Experiment |
36.3 – Intensity Distribution of the Double-Slit Interference Pattern |
36.4 – Phasor Addition of Waves |
36.6 – Interference in Thin Films |
|
Diffraction and Polarization |
37.2 – Single-Slit Diffraction |
37.3 – Resolution of Single-Slit and Circular Apertures |
37.4 – The Diffraction Grating |
37.5 – Polarization of Light Waves |
|
Special Relativity |
38.1 Einstein’s Postulates |
38.2 Simultaneity and Time Dilation |
38.3 Length Contraction |
38.4 Relativistic Addition of Velocities |
38.5 Relativistic Momentum |
38.6 Relativistic Energy |
|
Introduction to Quantum Physics |
39.1 – Quantization of Energy |
39.2 – The Photoelectric Effect |
39.3 – Photon Energies and the Electromagnetic Spectrum |
39.4 – Photon Momentum |
39.5 – The Particle-Wave Duality |
39.6 – The Wave Nature of Matter |
39.7 – Probability: The Heisenberg Uncertainty Principle |
39.8 – The Particle-Wave Duality Reviewed |
|
Atomic Physics |
40.1 – Discovery of the Atom |
40.2 – Discovery of the Parts of the Atom: Electrons and Nuclei |
40.3 – Bohr’s Theory of the Hydrogen Atom |
40.4 – X Rays: Atomic Origins and Applications |
40.5 – Applications of Atomic Excitations and De-Excitations |
40.8 – Quantum Numbers and Rules |
40.9 – The Pauli Exclusion Principle |
|
Radioactivity and Nuclear Physics |
41.2 – Radiation Detection and Detectors |
41.3 – Substructure of the Nucleus |
41.4 – Nuclear Decay and Conservation Laws |
41.5 – Half-Life and Activity |
41.6 – Binding Energy |
|
Medical Applications of Nuclear Physics
|
42.2 – Biological Effects of Ionizing Radiation |
42.3 – Therapeutic Uses of Ionizing Radiation |
42.5 – Fusion |
|
Particle Physics
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43.3 – Accelerators Create Matter from Energy |
43.4 – Particles, Patterns & Conservation Laws |
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Frontiers of Physics
|
44.1 – Cosmology & Particle Physics |
|