Work: W = Fscos(theta), variable: W = integral Fdx KE: (1/2)mv^2 = p^2/(2m) WET: W_net = delta_KE Gravity PE: mgh | Spring PE: (1/2)kx^2 Conservation: KE_1 + PE_1 = KE_2 + PE_2 (conservative only) With friction: KE_1 + PE_1 - f*d = KE_2 + PE_2 Power: P = Fv, P_avg = W/t, 1 HP = 746 W Constant power: (1/2)mv^2 = Pt, v = sqrt(2Pt/m) Terminal velocity: v_max = P/f

Collisions (1D, m_2 at rest, elastic): v_1 = (m_1-m_2)u_1/(m_1+m_2) v_2 = 2m_1*u_1/(m_1+m_2)

Inelastic: v = m_1*u_1/(m_1+m_2), KE lost = (1/2)muu^2

Restitution: e = sqrt(h'/h) for bouncing

Vertical circle: v_bottom_min = sqrt(5gR), v_top_min = sqrt(gR)