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Displacement
Change in position (vector)
Distance
Total path traveled (scalar)
Speed
Distance ÷ time (scalar)
Velocity
Displacement ÷ time (vector)
Acceleration
Change in velocity ÷ time
Inertia
Objects in motion stay in motion unless acted on.
F = ma
Force = mass × acceleration
Action = Reaction
For every action, there is an equal and opposite reaction.
Gravity
F_g = mg
Normal Force
Support force from a surface
Friction
Resists motion (static vs kinetic)
Work
Force applied over a distance ($W = Fd \cos \theta$)
Kinetic Energy (KE)
$\frac{1}{2}mv^2$
Potential Energy (PE)
$mgh$
Mechanical Energy
KE + PE
Power
Work ÷ time
Conservation of Energy
Total energy stays constant: $KE_i + PE_i = KE_f + PE_f$
Momentum
$p = mv$ (momentum = mass × velocity)
Impulse
$F \cdot t = \Delta p$
Conservation of Momentum
In collisions, total momentum before = total momentum after
Centripetal Force
Keeps objects moving in a circle $F_c = \frac{mv^2}{r}$
Newton's Law of Universal Gravitation
$F_g = G\frac{m_1 m_2}{r^2}$
Wavelength (λ)
Length of one wave
Frequency (f)
Waves per second
Wave Speed
$v = f \lambda$
Reflection
Angle in = angle out
Refraction
Bending of light through media
Speed of light (in vacuum)
$c = 3.0 \times 10^8 \, m/s$
Current (I)
Flow of charge (amps)
Voltage (V)
Electric potential (volts)
Resistance (R)
Opposition to current (ohms)
Ohm's Law
$V = IR$
Power (Electricity)
$P = IV$
Series Circuit
One path; resistances add
Parallel Circuit
Multiple paths; voltages same
Right-hand rule
Shows direction of field/current
Electromagnetic induction
Moving magnet → electric current