This page contains equations and constants that you may find useful during this course. You are welcome to print a copy of this page and use it during tests but you may not annotate this page in any way if you are going to use it in a test situation - it is your responsibility to understand these equations and their limitations...
- vav = (x2 - x1) / (t2 - t1) = Δx / Δt
- aav = (v2 - v1) / (t2 - t1) = Δv / Δt
The next 5 equations assume that the acceleration is constant and that motion is linear:
- a = (v - v0) / t
- v = v0 + a t
- Δx = ½ (v + v0) t
- Δx = v0 t + ½ a t 2
- v2 = v02 + 2 a Δx
- Fnet = ma
- W = mg
- Ffr <= µs FN
- Ffr max = µs FN
- Ffr = µk FN
- µ = tan θ
- component of weight perpendicular to inclined plane = FN = mg sin θ
- component of weight parallel to inclined plane = mg cos θ
- Fcent = mv²/r
- f = v/2πr
- T = 1/f = 2πr/v
- Fgrav = Gm1m2/r²
- W = F ‖ d = Fd cos θ
- KE = ½ mv²
- Wnet = Fnet ‖ d = ΔKE = ½ mv2² - ½ mv1²
- GPE = PEG = mgh
- PEel = ½ kx²
- k = -F/x
- P = W/t = E/t
- p = m v
- Fnet t = Δp
- v = fλ
- T = 1/f
- i = r
- I = Q/t
- V = E/Q
- V = IR
- Rseries= R1 + R2 + …
- 1/Rparallel = 1/R1 + 1/R2 + …
- For two resistors in parallel:
- Rparallel = R1R2/(R1+R2)
- P = VI = I²R = V²/R
- g = 9.81 m / s² on planet Earth (you may take g = 10 m / s² unless told otherwise)
- G = 6.67 x 10-11 m3 kg−1 s−2
- Density of water = 1000 kg/m3
- Density of air at atmospheric pressure and 20°C = 1.2 kg/m3
- Speed of light in a vacuum = 3.0 x 108 m/s
- 1 coulomb (1C) is the charge on 6.25 x 1018 protons.