Projectile Motion vx vx vi cos Unit ms

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

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

Centripetal Acceleration • acp = vt 2/r Unit: 2 m/s

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

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 2 • Fcp = mv /r Unit: N

Gravitational Force • Fgrav = GM 1 M 2/ 2 r 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 Unit: Watt

Kinetic Energy • KE = ½ 2 mν Unit: J

Work-Energy Theorem • W = ΔKE = ½ m (vf 2– 2 vi ) Unit: J

Potential Energy (PE) • PE = mgh Unit: J

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

Conservation of Energy • KEi + PEi = KEf + PEf 2 2 • ½ mvi + mghi = ½ mvf + 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) • m 1 vi 1 + m 2 vi 2 = m 1 vf 1 + m 2 vf 2

Conservation of Momentum (inelastic) • m 1 vi 1 + m 2 vi 2 = vf (m 1 + m 2)

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 8 10 Unit: m/s

Doppler • fperceived = forig (v + v. D) v + vs Unit: Hz