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Newtons Laws
1st Law
An object stays at rest or keeps moving at constant velocity unless acted on by a net force.
More mass → more inertia.
2nd Law
F = ma
More force → more acceleration
More mass → less acceleration for the same force
3rd Law
Every action force has an equal and opposite reaction force.
Forces act on different objects.
Forces & free-body diagrams
Force = push or pull on an object
Free-body diagram (FBD) = shows all forces acting on an object
Represent forces with arrows
Arrow direction = direction of force
Longer arrow = greater force
Common forces:
Gravity ↓
Normal force ↑
Friction opposes motion
Tension along a rope/string
Applied force = push/pull
Net force
Net force = total force acting on an object
Forces in the same direction → add
Forces in opposite directions → subtract
Net force = 0 → no acceleration
Object stays at rest or moves at constant velocity
Net force ≠ 0 → object accelerates
Vectors
Scalar = magnitude only
Examples: speed, distance, mass, time
Vector = magnitude + direction
Examples: velocity, displacement, acceleration, force
Vector Addition
Same direction → add
Opposite directions → subtract
Direction of the larger vector determines the final direction
Pressure
Pressure = force applied over an area
Smaller area → greater pressure
Larger area → less pressure
Formula
Pressure = Force / area
Fluid flow & buoyancy
Fluid flow
Pressure = force per area
Fluids generally flow from higher pressure → lower pressure
Faster fluid flow → lower pressure (in many common fluid-flow situations)
Buoyancy
Buoyant force = upward force a fluid exerts on an object
Object floats if buoyant force balances its weight
Object sinks if weight > buoyant force
Object is neutrally buoyant if forces balance while submerged
Fundamental forces
There are 4 fundamental forces:
Gravity → attraction between masses
Electromagnetic → interactions between charged particles
Strong nuclear → holds the nucleus together
Weak nuclear → involved in radioactive decay
Strong nuclear > Electromagnetic > Weak nuclear > Gravity
Mechanical vs. Electromagnetic Waves
Mechanical waves
Require a medium to travel
Examples: sound (vibrations), water waves, seismic waves
Electromagnetic (EM) waves
Does not require a medium
Can travel through a vacuum (like space)
Examples: light, radio waves, X-rays
Transverse vs. Longitudinal Waves
Transverse Waves
Particles vibrate perpendicular to wave direction
Think: up and down while wave moves forward
Example: light, waves on a rope
Longitudinal Waves
Particles vibrate parallel to wave direction
Creates compressions and rarefactions
Example: sound
Frequency, wavelength, amplitude
Frequency
Number of waves that pass a point per second
Measured in Hz (hertz)
Wavelength (λ)
Distance from one wave peak to the next
Amplitude
Maximum displacement from the resting position
Related to wave energy/intensity
Relationship
Higher frequency → shorter wavelength (if wave speed stays constant)
Lower frequency → longer wavelength

Wave energy
Waves transfer energy from one place to another.
Amplitude → greater amplitude = more energy
Frequency → higher frequency generally means more energy for EM waves.
The wave itself does not necessarily transport matter; particles usually just oscillate around their positions.
Reflection, Refraction, Transmission
Reflection
Wave bounces back when it hits a surface
Example: echo, mirror
Refraction
Wave changes direction when it enters a different medium
Happens because its speed changes
Example: light bending when it enters water
Transmission
Wave passes through a material or boundary
Example: light passing through glass
Reflection = bounces | Refraction = bends | Transmission = passes through
Resonance
A physics phenomenon that occurs when an object or system is exposed to a vibrating force that matches its own natural frequency.
This causes energy transfer to increase.
Light & Lenses
Light
Light is an electromagnetic wave
Can travel through a vacuum
Can be reflected, refracted, transmitted, or absorbed
Lenses
Concave lens → thinner in the middle → diverges (spreads light rays apart)
Convex lens → thicker in the middle → converges (brings light rays together)
Kinetic & potential energy
Kinetic energy (KE) = energy of motion
Faster object → more KE
More massive object → more KE
Potential energy (PE) = stored energy
Gravitational PE depends on height and mass
Higher object → more gravitational PE
Formulas
KE = ½mv²
PE = mgh
Electric charge
The property of matter that causes electric forces.
Two types: positive (+) and negative (−).
Like charges repel.
Opposite charges attract.
Electrons = negative; protons = positive.
Electric fields
A region around a charged object where another charge experiences a force.
Field direction:
Away from positive charges
Toward negative charges
Stronger charge → stronger electric field.
Closer to the charge → stronger field.
Magnetic fields
A region around a magnet where magnetic forces act.
Magnetic field lines go from North → South outside a magnet.
Strongest magnetic field = near the poles.
Moving electric charges (current) can create magnetic fields.
Electrostatic & Magnetostatic Phenomena + Examples
Electrostatics (Stationary Charges):
Forces between electric charges that are not moving.
Key Mechanism: Friction, conduction, or induction separates electrons.
Examples: A rubbed balloon sticking to a wall, socks sticking together in a dryer, lightning, or plastic wrap clinging to a bowl.
Magnetostatics (Steady Magnetic Fields):
Forces produced by magnetic materials or steady, unchanging electric currents.
Examples: A refrigerator magnet holding paper, a compass needle pointing north, or sorting scrap metal with a permanent magnet.
Relating Currents to Magnetic Fields & Applications
Electromagnets: A wire coiled around an iron core. Turning the electric current on creates a temporary magnet. You can make it stronger by adding more coils or increasing the current.
Electric Motors: Convert electrical energy → mechanical energy. Electric current passes through a loop inside a magnetic field, creating a magnetic force that forces the loop to spin.
Generators: Convert mechanical energy → electrical energy. Spinning a wire loop inside a magnetic field forces electrons to move, generating an electric current (the exact opposite of a motor).
Transformers: Devices that change voltage using two isolated coils. An alternating current in the primary coil creates a changing magnetic field, which induces a higher or lower voltage in the secondary coil.
Voltage, Current, Resistance, and Electrical Power (Ohm’s Law)
Voltage, current, resistance
Voltage (V) = electrical potential difference; the “push” that drives current.
Current (I) = flow of electric charge.
Resistance (R) = opposition to the flow of current.
Higher resistance → less current (if voltage stays the same).
Formula
Ohm’s Law: V = IR
V = voltage
I = current
R = resistance
Electrical power
Electrical power = rate at which electrical energy is used or transferred.
Measured in watts (W).
Higher power → more energy used per unit of time.
Formula
P = VI
P = power
V = voltage
I = current