How to find the velocity or position of a mass in a spring-mass system:
Front
1/2kx² = 1/2mv²
Back
Open Tubes
Front
Back
angular momentum is
Front
L=Iω kg⋅m²/s
L= τΔt
conserved when there is no net external torque acting on the object
Back
How to find the work/KE of a block being pulled at an angle:
Front
F(cos θ) • d = work = ΔKE
Back
How to find the velocity of a two-block-pulley system hung over a pulley on an incline:
Front
Mgh = 1/2(M +m)v² + µmgcosθ + mgh(sinθ)
Back
Velocity
Front
v = rω
Back
Hooke's Law
Front
F=-kx
Back
centripetal force
Front
F = mV² / r
pretty much m(rω)² / r
Back
The Second Condition of
Equilibrium states
Front
The net external torque must be zero, UNLESS it has an angular acceleration
Στ = 0
Back
Moment of Inertia
Front
I = mr² kg•m²
Back
Transverse waves
Front
A wave in which the particles of the medium move perpendicularly to the direction the wave is traveling
Back
Finding the Period of a Spring
Front
T = 2π√(m/k)
Back
Finding Period of a Pendulum
Front
T = 2π√(l/g)
Back
Longitudinal waves
Front
a wave in which the particles move parallel to the path of the wave (sound)
Back
Acceleration
Front
a = αr
Back
Conservation of Energy (simple harmonic motion)
Front
½kA² = ½mv² + ½kx²
Back
Rotational Kinematics
Front
Back
Closed Tubes
Front
Back
Newton's Second Law Torque Equation
Front
τ = Iα N•m
Back
Acceleration of an object in space
Front
a = GMₑ / rₑ²
Back
Resonance
Front
A phenomenon that occurs when two objects naturally vibrate at the same frequency
Back
Doppler effect
Front
The Doppler effect states that when a source is moving relatively toward an observer, there is an apparent increase in frequency. If the relative motion is away from source or observer, there is an apparent decrease in frequency.
Back
Frequency
Front
F = 1/T or cycles/second
Back
Conservation of Momentum Example
Front
With hands and feet drawn closer to the body, the skater's angular speed increases
- L is conserved, I decreases, ω increases
Back
Kepler's Third Law
Front
T² = (4π² / GMe)r³
Back
omega / tangential velocity
Front
ω / Vt = 2π rev. / time
Back
How to find the net work of a block moving up an incline with friction:
Front
(F - Fr - mgsinθ) • d = net work
Back
Torque
Front
τ = r F sin θ N•m
τ = ΔL / Δt
Back
Rotational Kinetic Energy
Front
KEr = ½Iω² J
Back
Orbital Velocity
Front
v = √(GMₑ/ r)
Back
How to find the velocity of a two-block-string system hung over a pulley:
Front
M₂gh = M₁gh + 1/2(M₂+M₁)v²
Back
Wavelengths
Front
Back
How to find the velocity of an object falling from a certain height:
Front
Δmgh = Δ 1/2mv²
Back
Finding the Velocity of a Wave
Front
V = √((T)/(M/L))
V = λf
Back
Gravitational field strength
Front
g = Gm / r²
Back
centripetal acceleration
Front
Ac = V² / r
pretty much (rω)² / r
Back
angular acceleration
Front
α = Δω/Δt
α = τ / I
Back
Newton's Universal Law of Gravitation
Front
F = G M₁M₂ / r²
Back
Finding the Velocity in Simple Harmonic Motion
Front
V = ±√((k/m)(A² - x²))
Back
Acceleration in Simple Harmonic Motion
Front
a = -ω²Acosωt
Back
Horizontal Displacement in Simple Harmonic Motion
Front
x = acos(2πft)
Back
Velocity in Simple Harmonic Motion (Equation)
Front
v = -ωAsinωt
Back
Work-energy theorem
Front
W = ΔKEt + ΔKEr + ΔPEn J
Back
Pink String Lab Equation
Front
f²λ² = T • 1/μ
Back
Work is
Front
force (F) times parallel displacement (d)
Work = KE + PE
Back
coordinates of center of gravity
Front
x = Σmx / m
y = Σmy / m
Back
Sound is
Front
a longitudinal mechanical wave
Back
Section 2
(46 cards)
Where is the acceleration always greatest?
Front
at the ends of motion
Back
if a car with a siren is traveling towards another car that is moving away from the first car,
Front
the distance between the two does not matter. It depends on the velocity of the first car
Back
Parallel Circuits
Front
- resistors in parallel experience the same voltage
~ V = V₁ = V₂
- total current is all the currents added up
~ I = I₁ + I₂
- resistance in parallel is:
~ 1/R = 1/R₁ + 1/R₂
Back
constructive interference
Front
When two pulses with upward displacement combine to make a pulse with a displacement larger than that of either original pulse (equal to the numerical sum of these pulses).
Back
Newton's Third Law
Front
For every force, there is an equal but opposite force on the object causing the original force.
Back
How to find the wavelength for open tubes or standing waves:
Front
λ = 2L / n
Back
Finding the Speed of Sound with Temperature
Front
V = (331)√(Temp./273)
Back
How to find μ:
Front
Fғ / Fɴ
~ friction force divided by normal force
Back
How to find a resistance of something
Front
R = ρL / A
Back
To find the power
Front
P=IV
P = E / t
P = I²R
P = V² / R
joules / second
Back
How to find the frequency for closed pipes:
Front
f = n⋅v / 4L
Back
Things that cannot go on a free-body diagram:
Front
motion, centripetal force, mass, velocity, acceleration, inertia, ma
Back
standing wave
Front
a wave in which incident and reflected waves combine to produce a wave that appears to be "standing" in one place
Back
Where is the velocity always greatest?
Front
at the middle part of motion
Back
Impulse-Momentum Theorem
Front
FΔt = mΔv
Back
destructive interference
Front
When a pulse with upward displacement and a pulse with downward displacement combine to make a pulse with a smaller displacement than either original pulse (equal to the numerical difference of these pulses)
Back
beats
Front
When two sound waves interfere, the regions of constructive and destructive interference produce the phenomena known as BEATS. The number of beats per second is equal to the frequency difference.
Back
How to find the frequency for standing waves in strings and open pipes:
Front
f = n⋅v / 2L
Back
Open Pipe and Standing waves in Strings Frequency Equation
Front
f = n • v / 2L
Back
Ohm's Law
Front
V=IR
Back
Closed Pipe Frequency Equation
Front
f = n • v / 4L
Back
Junction rule
Front
the total current coming into a junction must be equal to the total current leaving the junction (charge is conserved)
Back
when two sound waves interfere,
Front
the regions of constructive and destructive interference produce beats
Back
Law of Sines
Front
a/sinA = b/sinB = c/sinC
Back
How to find theta
Front
tan⁻¹(y/x)
Back
electromagnetic waves
Front
waves that result from electromagnetic interactions (light, x rays, radio waves, etc)
- don't require a physical medium to carry them
Back
Series Circuits
Front
- current is the same across the whole current
~ I = I₁ = I₂
- total voltage is all the voltages added up
~ V = V₁ + V₂
- total resistance is all the resistances added up
~ R = R₁ + R₂
Back
coloumb's law
Front
F = k q₁q₂ / r²
Back
How to find displacement on a velocity time graph
Front
It is the area under the graph
Back
mechanical waves
Front
waves that result from the vibration of a physical medium (drum, string, water, etc)
Back
Conservation of momentum
Front
m₁vᵢ + m₂vᵢ = m₁vғ + m₂vғ
Back
the loop rule
Front
the total voltage drops and gains must total to zero as you travel around any closed loop of a circuit (energy must be conserved) Traveling across a resistor with the current is a voltage drop, against the current a gain. Traveling across a battery from negative to positive is a voltage gain and from positive to negative is a voltage drop.
Back
displacement
Front
Distance of a line connecting two points
Back
How to find the max height of an object launched at an angle
Front
Yᴍᴀx = Vᵢᵧ² / 2g
Back
Conservation of Kinetic Energy
Front
½m₁vᵢ² + ½m₂vᵢ² = ½m₁vғ² + ½m₂vғ²
Back
How to find the wavelength for closed tubes:
Front
λ = 4L / n
Back
Law of Cosines
Front
c²=a²+b²-2abcosC
Back
Newton's first law
Front
Every body continues in its state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by forces acting on it.
inertia: The ability of an object to resist a force attempting to change it's state of motion
Back
inelastic collision
Front
To colliding objects stick together to become one; momentum is conserved, but kinetic energy is not
Back
amplitude of the wave is
Front
the intensity of loudness of the wave
Back
elastic collision
Front
Two objects collide and conserve kinetic energy and momentum; objects bounce off each other
Back
antinodes are
Front
constructive interference
Back
nodes are
Front
destructive interference
Back
Newton's second law
Front
The change of motion is proportional to the net applied force, and is in the direction in which that force acts.
F = ma
Back
Friction
Front
Fᴋ = μN
Back
Kinematics equations cannot be used when:
Front
the acceleration is not constant.
~ cannot be used in a spring-mass
situation because the mass does not
have a constant acceleration
(acceleration is always changing)