Physics 111 General Physics I
Final Exam Formula Sheet
speedave = distance/ ∆t
Linear Motion (Constant a): Rotational Motion (Constant α):
vave = ∆x / ∆t = (vi + vf) / 2 ωave = ∆θ / ∆t = (ωi + ωf) / 2
aave = ∆v / ∆t αave = ∆ω / ∆t
v = vi + a t ω = ωi + α t
vf
2 – vi
2 = 2 a ∆x ωf
2 – ωi
2 = 2 α ∆θ
∆x = vave t = (vi + vf) t /2 ∆θ = ωave t = (ωi + ωf) t / 2
∆x = vi t + ½ a t2 ∆θ = ωi t + ½ α t2
Fnet = ma τnet = I α
Uniform Circular Motion: Projectile Motion:
acp = v2 / R= ω 2 / R x = x0 + v0,x t
Fcp = m v2 / R = m ω 2 / R y = y0 + v0,y t – ½ g t2
Forces: Work, Energy and Power:
Fnet = ma K = ½ mv2
fk = µk N Ug = mgh
fs ≤ µs N Uspring = ½ k ∆x 2
Fspring = – k ∆x Wnet = ∆K = Fparallel d = Fd cos θ
Fg = Gm1m2 / r2 W
non-conservative = ∆(K + U) = ∆ E
G = 6.67 × 10-11 N·m2/kg2 E= K + U = constant , if Wnon-conservative=0
g = 9.81 m/s2 P = W / t
Quadratic Formula: Center of Mass:
x = – b ± √ (b2 – 4ac) rCoM = ( ∑mi ri ) / ( ∑ mi )
2a v
CoM = ( ∑mi vi ) / ( ∑ mi ) = psystem / ( ∑ mi )
Momentum and Impulse: Angular Momentum:
p = mv L = I ω
I = ∆p = Faverage t Iparticles= ∑mi ri
2
τ = F r┴
If Fextenal =0, psystem = ∑mi vi =constant τnet =∆L / ∆t = I α
(collisions) If τextenal =0 , Lsystem = ∑ I ω =constant
Linear & Rotational Variables:
s = R ∆θ
v = R ω constant speed rotation: T = 2 π R/v = 2π / ω
atan = R α
Physics Final Exam Cheat Sheet
