PhysicsLAB: Review: Circular Motion and Universal Gravitation

Newton's Three Laws		Law of Inertia Law of Acceleration Law of Action-Reaction
centripetal force		F_c = ma_c
centripetal acceleration		a_c = v²/r
tangential velocity		v = 2πr/T v = rω where ω = 2πrf (frequency in hz)
centripetal acceleration		a_c = 4π²r/T²
relationship between period (T) and frequency (f)		f = 1 / T
centripetal acceleration		a_c = 4π²r f ²
friction		f = μN
conical pendulums		T cos(θ) = mg T sin(θ) = F_c = m v²/r
source of centripetal force for a banked curve when traveling at critical speed		F_c = N sin(θ) [remember that N cos(θ) = mg]
critical speed for a banked curve		tan(θ) = v²/rg
universal gravitation		F = GM₁M₂/r²
universal gravitation constant		6.67 x 10^{^-11} N m² / kg²
Kepler's Third Law		T²/R³ = 4π²/GM_{central body} a unique constant for every satellite system
gravitational field strength		g = G M_{central body} /r² where r = R_{central body} + h
Kepler's Second Law		v_AR_A = v_PR_P a satellite's tangential velocity and orbital radius are inversely proportional
Conservation of Energy		Σ(PE + KE)_before = Σ(PE + KE)_after PE = mgh KE = ½mv²
kinematics equations		s = v_ot + ½ at² v_f² = v_o² + 2as v_f = v_o + at s = ½ ( v_o + v_f ) t
range of a projectile		R = v_H t