Projectile Motion (vx =) vx = vi cosΘ Unit: m/s

Projectile Motion (vy =) vy = vi sinΘ Unit: m/s

Centripetal Acceleration acp = vt2/r Unit: m/s2

Newton’s First Law Objects at rest will stay at rest, and objects in motion will stay in motion unless acted on by an outside force.

Newton’s Second Law ΣF = ma Unit: N

For every action there will be an equal and opposite reaction. Newton’s Third Law For every action there will be an equal and opposite reaction. F = -F Unit: N

Weight W = mg Unit: N

Normal Force (horizontal) N = mg Unit: N

Normal Force (incline) N = mg cosΘ Unit: N

Friction f = μ N Unit: N

Hooke’s Law F = -kΔx Unit: N

Centripetal Force Fcp = macp Fcp = mv2/r Unit: N

Gravitational Force Fgrav = GM1M2/ r2 Unit: N

Work W = FΔd Unit: J

Work (angle) W = FΔd cosΘ Unit: J

Power P = W/t P=F Δd/t P=Fv P= E/t 4 equations! Unit: Watt

Kinetic Energy KE = ½ mν2 Unit: J

Work-Energy Theorem W = ΔKE = ½ m (vf2 – vi2) Unit: J

Potential Energy (PE) PE = mgh Unit: J

Potential Energy (U) U = ½ k (Δx)2 Unit: J

Conservation of Energy KEi + PEi = KEf + PEf ½ mvi2 + mghi = ½ mvf2 + mghf

Momentum p = mv Unit: kgm/s

Impulse (Δp =) Δp = mΔv Unit: kgm/s

Impulse (J=) J= FΔt Unit: kgm/s

Conservation of Momentum (elastic) m1vi1 + m2vi2 = m1vf1 + m2vf2

Conservation of Momentum (inelastic) m1vi1 + m2vi2 = vf (m1 + m2)

Wave Speed (ν) ν = f λ Unit: m/s

Frequency f = 1/f Unit: Hz

Period T= 1/f Unit: s

Angular Frequency (ω) ω = 2πf Unit: rad/s

Period of a Mass on a Spring T = 2π √(m/k) Unit: s

Period of a Pendulum T = 2π √(L/g) Unit: s

Speed of Sound c = 3.0 x 108 Unit: m/s

fperceived = forig (v + vD) v + vs Doppler fperceived = forig (v + vD) v + vs Unit: Hz