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s = d/t
speed (s), distance (d), time (t)
v = Δx/t
velocity (v), displacement (Δx), time (t)
a = Δv/t
acceleration (a), change in velocity (Δv), time (t)
vf = vo + at
final velocity (vf), initial velocity (vo), acceleration (a), time (t)
vf 2 = vo 2 + 2aΔx
final velocity (vf), initial velocity (vo), acceleration (a), displacement (Δx)
Δx = vot + ½ at2
displacement (Δx), initial velocity (vo), time (t), acceleration (a)
ΣF = ma
Sum of forces in one dimension (ΣF), mass (m), acceleration (a)
w = mg
weight (w), mass (m), gravity (g)
Ff = µFN
Friction force (Ff), coefficient of friction (µ), normal force (FN)
FN = mg ± sinƟ
Normal force (FN), mass (m), gravity (g), angle (Ɵ)
wx = sinθmg
component of weight parallel to incline (wx), angle of incline (θ), mass (m), gravity (g)
wy = FN = cosθmg
component of weight perpendicular to incline (wy or FN), angle of incline (θ), mass (m), gravity (g)
∑Fx = 0
sum of horizontal forces (∑Fx)
∑Fy = 0
sum of vertical forces (∑Fy)
∑τ = 0
sum of torques (∑τ)
τ = Fdsinθ
torque (τ), force (F), perpendicular distance from axis (d), angle (θ)
W = Fdcosθ
work (W), force (F), distance (d), angle (θ)
KE = ½ mv2
kinetic energy (KE), mass (m), velocity (v)
PEg = mgh
potential energy (PEg or U), mass (m), gravity (g), height (h)
PEs = ½ kx2
spring potential energy (PEs), spring constant (k), position from equilibrium (x)
WNC = FNCd
Work (WNC), non-conservative force (FNC), distance (d)
EMECH = PEg + PEs + KE
Total mechanical energy (EMECH), potential energy (PEg), spring potential energy (PEs), kinetic energy (KE)
ETi = ETf
initial total energy (ETi), final total energy (ETf)
ET = PEg + PEs + KE + WNC
total energy (ET), potential energy (PEg), spring potential energy (PEs), kinetic energy (KE), work done by non-conservative forces (WNC)
Fs = -kx
spring force (Fs), spring constant (k), position from equilibrium (x)
E=Stress/Strain
Young Modulus (E), Stress, Strain
Stress=F/a
Stress, Force (F), Area (a)
Strain=ΔL/L
Strain, Change in Length (ΔL), Original Length (L)
P = ΔET / t
power (P), total change in energy (ΔET), time (t)
P = Fv
power (P), force (F), velocity (v)
P = W/t = Fd/t
power (P), work (W), time (t), force (F), distance (d)
Wnet = ΔKE
work (Wnet), change in kinetic energy (ΔKE)
p = mv
momentum (p), mass (m), velocity (v)
ΣF = Δp /t
force (ΣF), change in momentum (Δp), time (t)
J = Ft = Δp
impulse (J), force (F), time (t), change in momentum (Δp)
m1v1 +m2v2 = m1v1’ + m2v2’
mass 1 (m1), velocity 1 (v1), mass 2 (m2), velocity 2 (v2), velocity 1 after collision (v1’), velocity 2 after collision (v2’)
v1 – v2 = v2’ – v1’
velocity 1 before collision (v1), velocity 2 before collision (v2), velocity 2 after collision (v2’), velocity 1 after collision (v1’)
m1v1 +m2v2 = (m1 + m2)vf
mass 1 (m1), velocity 1 (v1), mass 2 (m2), velocity 2 (v2), combined mass (m1 + m2), final velocity (vf)
ρ = m / V
density (ρ), mass (m), volume (V)
%sub = ρobject / ρfluid
percent submerged (%sub), density object (ρobject), density of fluid (ρfluid)
P = F / A
pressure (P), force (F), area (A)
PG = ρfluidgh
gauge pressure (PG), density of fluid (ρfluid), gravity (g), depth (h)
PTotal = PATM + PG
Total Pressure (PTotal), Atmospheric Pressure (PATM), Gauge Pressure (PG)
FB = ρfluidVg
Buoyant force/Upthrust (FB), density of fluid (ρfluid), volume of fluid displaced (V)
ρfVo = mmax
density of fluid (ρf), volume of object (Vo), maximum mass (mmax)
v = fλ OR λ = v/f
velocity (v), frequency (f), wavelength (λ)
c = fλ
speed of light in vacuum (c), frequency (f), wavelength (λ)
d sinӨ = mλ
slit separation (d), angle of diffraction (Ө), order of spot (m), wavelength (λ)
d (ymax/L) ≈ mλ
distance between slits (d), distance between spots (ymax), distance from slits to screen (L), order of spot (m), wavelength (λ)
I = Io cos2Ө
intensity (I), original intensity (Io), angle between polarizing filters (Ө)
I α Amplitude2
Intensity (I), Amplitude
I α Power
Intensity (I), Power
I = ∆Q / t
current (I), charge (∆Q), time (t)
I = ΔV / R
current (I), voltage (ΔV), resistance (R)
R = ρ (L / A)
resistance (R), resistivity constant (ρ), length of wire (L), area of wire (A)
P = IΔV
power (P), current (I), voltage (ΔV)
P = I2R
power (P), current (I), resistance (R)
P = V2 / R
power (P), voltage (V), resistance (R)
V=IR1+IR2
Voltage (V), Current (I), Resistor 1 (R1), Resistor 2 (R2)
I=Anvq
Current (I), Area (A), number of electrons (n), drift speed (v), Charge (q)