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8 Cards in this Set

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Direct Proportion
a/A = b/B The sides of similar figures are proportional.

y = mx + b Linear trendline equation with slope m and y-intercept b

Δy/Δx = m Rise / Run = constant slope, occurs when b = 0 in trendline equation
Distance
d = vavgt Distance travelled at an average speed

d = ½ gt2 Distance of Free fall = 5 m/s2 x time2

d = ½ at2 Distance an object accelerates = ½ x acceleration x time2
Velocity
vavg = d/t Average speed = distance/time

v = at Instantaneous speed = acceleration x time

v = gt Free fall Velocity = 10m/s2 x time

v= sqrt(2gd) Free fall Velocity = sqrt(2 x gravity acceleration x drop distance)

v =sqrt(2KE/m) Instantaneous Velocity = sqrt(2 x Kinetic Energy/mass)
Acceleration
a = (vfinal–vinit)/t Acceleration = (final Velocity– initial Velocity)/time

a = FNET/m Acceleration = Net Force / total mass
Force
w = mg Weight = mass x 10m/s2

FNET = ma Net Force = total mass x acceleration

P = F/a Pressure = Force/Area
Temperature
ΔT = Tfinal - Tinitial Temperature Change = final temperature – initial temperature

K = C + 273 Kelvin degrees = Celsius degrees + 273
Energy
W = Fpd -Work = Force in direction of displacement x Displacement

Work = mgh- Work = Weight x lift height The energy required to lift a weight.

PE = Work - Work stored as Potential Energy

KE = ½ mv2 - Kinetic Energy = ½ mass x (instantaneous velocity)2

ME = KE + PE- Total Mechanical Energy = Kinetic Energy + Potential Energy

W+ Q = ΔME = ΔKE + ΔPE
Work + Heat in = the change in Total Mechanical Energy

QFriction = FFrictiond- Heat Energy = Friction Force x distance

Q = mcΔT- Heat = mass x specific hea00t x temperature change

P = Work/t - Power = Work/Time

Eff = Usable Energy/Energy Input Efficiency of energy usage
Waves
f = 1/P-Frequency = Reciprocal of Period (and vice versa)

v = f λ- Wavespeed = frequency x wavelength

E = (h x 10-34J/Hz) f- Energy of photon = Planck’s constant x frequency

c = 3x108/n = c/n- Speed of light in matter = speed of light in vacuum/index of refraction

M = hi/ho- Magnification = Image Height/Object height

anglereflection = angleincidence- Angle of reflection = Angle of incidence

Energy of a photon-E = hf- h = Planck’s constant = 6.6x10-34 J/Hz