Friction: fs ≤ μsN, fk= μkN
Uniform circular motion: F = mv2/r
Work: W = F·d
Scalar product: A·B = ABcosθ = AxBx + AyBy + AzBz
Hooke's law: F = -kr, Fx= -kx
Elastic potential energy: W = (1/2)kx2
Conservative systems: E = K + U, Fx = -dU/dx
Work-kinetic energy theorem: Wnet = ∆K = (1/2)m(vf2 - vi2)
Power: P = F·v or P = ∆W/∆t
coefficient of restitution: (outgoing speed)/(incoming speed)
Gravitational force: F12 = (-G m1m2/r122) (r12/r12)
Gravitational potential energy: Uf - Ui = -G m1m2(1/r12f - 1/r12i)
p = mv, F = ∆p /∆t,
I= ∆p = F∆t.
Center of mass: xCM = ∑mixi/M, yCM = ∑miyi/M, zCM = ∑mizi/M, M = ∑mi.