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Constant speed
speed, distance, time, meters/second (m/s), meters (m), seconds (s), s = d/t
Constant velocity
velocity, displacement, time, v = Δx/t
Acceleration
acceleration, change in velocity, time, meters/second2 (m/s2), a = Δv/t
Kinematics with constant acceleration
final velocity, initial velocity, acceleration, time, meters/second (m/s), meters/second2 (m/s2), seconds (s), vf = vo + at
Kinematics with constant acceleration
final velocity, initial velocity, acceleration, displacement, meters/second (m/s), meters/second2 (m/s2), seconds (s), meters (m), vf 2 = vo 2 + 2aΔx
Vertical motion with constant gravity
acceleration, time, displacement, meters (m), Δx = vot + ½ at2
Forces and acceleration
Sum of forces in one dimension, mass, acceleration, Newton (N), kilogram (kg), meters/second2 (m/s2), ΣF = ma
Weight
weight, mass, gravity, w = mg
Friction
Friction force, coefficient of friction, normal force, Newton (N), no unit, Newton (N), Ff = µFN
Normal force with an angled pull
Normal force, mass, gravity, angle (Ɵ), FN = mg ± sinƟ
Force of gravity on an Incline (parallel component)
component of weight parallel to incline, angle of incline, mass, gravity, Newton (N), degrees (°), kilogram (kg), meters/second2 (m/s2), wx = sinθmg
Force natural on an incline (perpendicular component)
component of weight perpendicular to incline, angle of incline, mass, gravity, Newton (N), degrees (°), kilogram (kg), meters/second2 (m/s2), wy = FN = cosθmg
Static equilibrium (horizontal)
sum of horizontal forces, Newton (N), ∑Fx = 0
Static equilibrium (vertical)
sum of vertical forces, Newton (N), ∑Fy = 0
Static equilibrium (torque)
sum of torques (moments of inertia), Newton meter (Nm), ∑τ = 0
Torque (Moments of Inertia)
torque, force, perpendicular distance from axis, angle (θ), Newton meter (Nm), Newton (N), meter (m), τ = Fdsinθ
Work
work, force, distance (parallel to force), angle (θ), Joule (J), N, m, W = Fdcosθ
Kinetic energy
kinetic energy, mass, velocity, Joule (J), kilogram (kg), meters/second(m/s), KE = ½ mv2
Gravitational potential energy
potential energy (PEg or U), mass, gravity, height, Joules, PEg = mgh
Spring (elastic) potential energy
spring potential energy (PEs), spring constant, position from equilibrium, J, Newton/meter (N/m), meter (m), PEs = ½ kx2
Work by non-conservative forces
Work (WNC), non-conservative force, distance, friction (Ff), coefficient of friction (µ), normal force (FN), J, N, m, WNC = FNCd
Conservation of mechanical energy
Total mechanical energy, potential energy, kinetic energy, initial total energy, final total energy, Joule (J), EMECH = PEg + PEs + KE ; ETi = ETf
Conservation of total energy
total energy, potential energy, spring potential energy, kinetic energy, work done by non-conservative forces, Joule (J), ET = PEg + PEs + KE + WNC
Spring force
spring force (Fs), spring constant, position from equilibrium, Newton (N), Newton/meter (N/m), meter (m), Fs = -kx
Young Modulus
Young Modulus (E), Stress, Strain, Force (F), Area (a), Change in Length (ΔL), Original Length (L), Stress has unit of Pascal (Pa), Strain has no unit, Young modulus unit: Pa, E=Stress/Strain, Stress=F/a, Strain=ΔL/L
Power
power (P), total change in energy (ΔET), time (t), Watts (W) or Joule/second (J/s), Joule (J), P = ΔET / t
Constant velocity power
power (P), force (F), velocity (v), work (W), time (t), distance (d), Watts (W) or Joule/second (J/s), P = Fv, P = W/t = Fd/t
Work – kinetic energy theorem
work (Wnet), change in kinetic energy (ΔKE), Joule (J), Wnet = ΔKE
Momentum
momentum (p), mass (m), velocity (v), kilogram meter/second (kg m/s), p = mv
Newton’s 2nd Law with momentum
force (ΣF), change in momentum (Δp), time (t), Newton(N), Newton second (Ns), second (s), ΣF = Δp /t
Impulse
impulse (J or Ft), change in momentum (Δp), force (F), time (t), Newton second (Ns) or (kg m/s), J = Ft = Δp
Elastic collision
mass 1 (m1), velocity 1 (v1), mass 2 (m2), velocity 2 (v2), velocity 1 after collision (v1’), velocity 2 after collision (v2’), kilogram (kg), meters/second (m/s), m1v1 +m2v2 = m1v1’ + m2v2’
Rare Equation (Elastic collision relative velocity)
velocity 1 before collision (v1), velocity 2 before collision (v2), velocity 2 after collision (v2’), velocity 1 after collision (v1’), meters/second (m/s), v1 – v2 = v2’ – v1’
Perfectly inelastic collision
mass 1 (m1), velocity 1 (v1), mass 2 (m2), velocity 2 (v2), combined mass (m1 + m2), final velocity (vf), kilogram (kg), meters/second (m/s), m1v1 +m2v2 = (m1 + m2)vf
Density
density (ρ), mass (m), volume (V), kilogram/meter3 (kg/m3), kg, m3, ρ = m / V
Percent submerged (Specific Gravity)
percent submerged (%sub), density object (ρobject), density of fluid (ρfluid), percent (%), kg/m3, kg/m3, %sub = ρobject / ρfluid
Pressure
pressure (P), force (F), area (A), Pascals (Pa), Newton (N), meter2 (m2), P = F / A
Pressure at a depth (Gauge Pressure)
gauge pressure (PG), density of fluid (ρfluid), gravity (g), depth (h), Pascals (Pa), kg/m3, meters/second2 (m/s2), meter, PG = ρfluidgh
Total Pressure (including Atmosphere)
Total Pressure (PTotal), Atmospheric Pressure (PATM), Gauge Pressure (PG), Pascals (Pa), PTotal = PATM + PG
Buoyant force / Upthrust
Buoyant force/Upthrust (FB), density of fluid (ρfluid), volume of fluid displaced (V), gravity (g), Newton (N), kg/m3, meter3 (m3), meters/second2 (m/s2), FB = ρfluidVg
Maximum mass of a floating object
density of fluid (ρf), volume of object (Vo), maximum mass (mmax), kg/m3, meter3 (m3), kg, ρfVo = mmax
Velocity of a wave
velocity (v), frequency (f), wavelength (λ), meters/second (m/s), Hertz (Hz), meter (m), v = fλ OR λ = v/f
Speed of electromagnetic waves
speed of light in vacuum (c), frequency (f), wavelength (λ), meters/second (m/s), Hertz (Hz), meter (m), c = fλ
Double slit diffraction (angle)
slit separation (d), angle of diffraction (Ө), order of spot (m), wavelength (λ), meter (m), degrees (°), meter (m), d sinӨ = mλ
Double slit diffraction (linear distance)
distance between slits (d), distance between spots (ymax), distance from slits to screen (L), order of spot (m), wavelength (λ), meter (m), d (ymax/L) ≈ mλ
Polarization Intensity
intensity (I), original intensity (Io), angle between polarizing filters (Ө), Watts/meter2 (W/m2), degrees (°), I = Io cos2Ө
Intensity proportional to Amplitude
Intensity (I), Amplitude, I α Amplitude2
Intensity proportional to Power
Intensity (I), Power, I α Power
Current
current (I), charge (∆Q), time (t), Ampere (A), Coulomb (C), second (s), I = ∆Q / t
Ohm’s Law
current (I), voltage (ΔV), resistance (R), Ampere (A), Volt (V), Ohm (Ω), I = ΔV / R
Resistance of a wire
resistance (R), resistivity constant (ρ), length of wire (L), area of wire (A), Ω, Ohm meter (Ωm), m, m2, R = ρ (L / A)
Power in a circuit or resistor
power (P), current (I), voltage (ΔV), W or J/s, A, V, P = IΔV
Power in a circuit or resistor
power (P), current (I), resistance (R), W or J/s, A, Ω, P = I2R
Power in a circuit or resistor
power (P), voltage (V), resistance (R), W or J/s, V, Ω, P = V2 / R
Kirchoff Law (Example)
Voltage (V), Current (I), Resistor 1 (R1), Resistor 2 (R2), V, V, A, Ω, V=IR1+IR2
Kirchoff Law (EMF)
Electromotive force (Emf), Current, Resistor, Emf = Current
Electrical current (Drift Velocity)
Current (I), Area (A), number of electrons (n), drift speed (v), Charge (q), I=Anvq