Physics Learning Lab
Welcome to Your Physics Learning Lab!
This is your interactive, "hand-holding" resource designed to help you review, practice, and master core physics concepts.
We've translated a standard physics roadmap into an interactive experience. This widget is fully responsive and designed to sit cleanly inside your workspace. You'll find:
- ✦ Plain English Translations: Toggle complex textbook formulas into intuitive, real-world explanations.
- ✦ Dynamic Charts: Visualize how Ohm's Law works in real-time.
- ✦ Working Practice Terminals: Test your knowledge in each section with hands-on questions and get instant feedback.
Use the left menu to navigate between topics. Let's get started!
1. Kinematics (Motion)
This is the bedrock. Kinematics is the study of *how* things move, using variables like displacement, velocity, and acceleration.
What is Kinematics?
Kinematics describes motion *without* considering the forces that cause it. We just care about *where* something is and *how fast* it's moving.
- Scalar: A quantity with magnitude (size) only. (e.g., 50 mph)
- Vector: A quantity with magnitude AND direction. (e.g., 50 mph *East*)
- Distance (scalar): "How far you walked." (e.g., 10 miles)
- Displacement (vector): "How far you are from your start." (e.g., 2 miles North)
Key Variables (d, v, a)
These three concepts build on each other:
- Displacement (
d): Change in position. (Units:m) - Velocity (
v): The rate of change of displacement. "How fast position changes." (Units:m/s) - Acceleration (
a): The rate of change of velocity. "How fast velocity changes." (Units:m/s²)
The Kinematic Equations
These are the "big four" equations you'll use to solve almost any kinematics problem (assuming constant acceleration).
# "v_f" = final velocity # "v_i" = initial velocity # "a" = acceleration # "d" = displacement # "t" = time 1. v_f = v_i + a*t 2. d = v_i*t + (1/2)*a*t² 3. v_f² = v_i² + 2*a*d 4. d = ( (v_i + v_f) / 2 ) * t
Forget the math symbols for a second. Here is what those equations actually mean in real life:
- Equation 1: "How fast you're going now depends on how fast you were going before, plus how hard you stepped on the gas and for how long."
- Equation 2: "Where you end up depends on your starting speed, plus the extra distance you cover because you're accelerating."
- Equation 3 (The Time-Saver): "Use this when a cop asks how long your skid marks are, but nobody had a stopwatch to time the crash."
Practice Time
Q1: A car accelerates from 0 to 60 mph. What concept describes its *rate of change* of velocity?
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2. Newton's Laws (Forces)
Forces are the "why" behind motion. Newton's three laws are the foundation of all classical mechanics.
- First Law (Inertia): An object in motion stays in motion, and an object at rest stays at rest, unless acted on by a net external force.
- Second Law (
F=ma): The acceleration (a) of an object is directly proportional to the net Force (F) applied and inversely proportional to its mass (m). - Third Law (Action-Reaction): For every action, there is an equal and opposite reaction.
- First Law (The "Lazy" Law): Things want to keep doing exactly what they are already doing. If it's sitting there, it wants to sit there. If it's moving, it wants to keep moving.
- Second Law (The "Push" Law): Heavy things are harder to push. If you want a heavy thing to speed up quickly, you have to push it really, really hard.
- Third Law (The "Karma" Law): You can't touch something without it touching you back exactly as hard. Punch a brick wall, the wall punches your hand back.
Common forces you'll encounter:
| Force | Formula | Description |
|---|
Practice Time
Q1: What is the famous, 3-variable formula for Newton's Second Law?
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3. Work & Energy
Energy is the "currency" of the universe; it can be stored and spent. Work is the act of transferring energy by applying a force over a distance.
Work (W)
In physics, "work" *only* happens if the force causes displacement.
# Work = Force × displacement W = F * d # If the force is at an angle (θ) W = F * d * cos(θ)
If you push a brick wall all day and sweat through your shirt, you did ZERO physics work because the wall didn't move (Distance = 0). Physics only cares if you actually moved the object.
Types of Mechanical Energy
# Kinetic Energy (KE) # The energy of *motion*. # KE = (1/2) * m * v² # m = mass # v = velocity
# Potential Energy (PE) # *Stored* energy due to position. # PE = m * g * h # m = mass # g = 9.8 m/s² (gravity) # h = height
Practice Time
Q1: What is the formula for Kinetic Energy (energy of motion)?
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4. Waves & Sound
Waves are disturbances that transfer energy. The two most important equations relate velocity, frequency, wavelength, and period.
Wave Equations
These two equations are simple but powerful.
# 1. The Wave Speed Equation v = f * λ # v = velocity # f = frequency (waves/sec) # λ = wavelength (length of wave) # 2. Frequency & Period T = 1 / f
- Equation 1: "How fast a wave travels depends on how long each wave is, multiplied by how many waves hit you every second."
- Equation 2: "Frequency is how often it happens. Period is how long you have to wait for the next one. They are just exact opposites."
Wave Properties
Crest / \ Amplitude
/ \ |
--------/-----\---(midpoint)
/ \ |
Trough \ /
[---Wavelength (λ)---]
- Amplitude: Max displacement from midpoint. (Loudness)
- Wavelength (λ): Length of one full cycle.
- Frequency (f): Cycles per second. (Pitch)
Practice Time
Q1: In the equation v = f * λ, what does f stand for?
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5. Electricity & Magnetism
For simple circuits, the most important relationship is Ohm's Law. It connects Voltage (the "push"), Current (the "flow"), and Resistance (the "pinch").
V = I * R
Practice Time
Q1: What is the 3-variable formula for Ohm's Law?
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6. Thermodynamics
Thermodynamics is the study of heat, work, and energy. Its "laws" govern why engines work and why time only moves forward.
The Zeroth Law (Equilibrium)
If System A is in thermal equilibrium with System C, and System B is in thermal equilibrium with System C, then A and B are in thermal equilibrium with each other.
# It defines temperature. # # A = C # B = C # Therefore, A = B
The Zeroth Law (The Thermometer Law)
If a thermometer says your coffee is 150°F, and the same thermometer says your tea is 150°F, then your coffee and tea are the exact same temperature.
(Yes, this is so painfully obvious they named it the 'Zeroth' law because they forgot to make it the 1st law).
The First Law (Conservation of Energy)
Energy cannot be created or destroyed. The change in internal energy (ΔU) equals heat added (Q) minus work done by the system (W).
ΔU = Q - W
The First Law (The Bank Account Law)
You can't get energy for free. Your body's total energy is exactly equal to the calories you ate (Heat added) minus the exercise you did (Work done).
The Second Law (Entropy)
The total entropy of an isolated system can never decrease over time. Heat will spontaneously flow from a hotter body to a colder body.
ΔS_universe ≥ 0
The Second Law (The Messy Room Law)
Things naturally get messy. Your bedroom will never accidentally clean itself; you have to put actual work in to organize it. Also, your hot coffee will always cool down—it will never magically steal heat from the room to boil itself.
Practice Time
Q1: The law stating "Energy cannot be created or destroyed" is which law?
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