1 One-dimensional Motion and Forces Equations and Units Equations Unit Speed (s) or Velocity(v) s = distance ÷ time m/s Acceleration (a) a = (vf - vi ) ÷ t m/s2 vf = vi + at m/s final velocity (vf) xf = xi + vit + ½ at2 m F=mxa Newton (N) mass (m) m=F ÷ a kg acceleration (a) a=F ÷ m m/s2 final position (xf) Force (F) 2 Potential Energy and Kinetic Energy Equations and Unit Equations Unit PEg = 𝑚𝑔ℎ Joule (J) mass (m) m = 𝑃𝐸𝑔 ÷ (𝑔ℎ) kilogram (kg) height (h) h = 𝑃𝐸𝑔 ÷ (𝑚𝑔) meter (m) PEe = ½ k x2 Joule (J) spring constant (k) k = 2PEe÷ x2 Newton/meter (N/m) displacement (x) x = √ 2𝑃𝐸𝑒 ÷ 𝑘 meter (m) KE = ½ m v2 Joule (J) Gravitational Potential Energy (PEg) Elastic Potential Energy (PEe) Kinetic Energy (KE) 3 mass (m) m = 2𝐾𝐸 ÷ v2 kilogram (kg) velocity (v) v = √ 2𝐾𝐸 ÷ 𝑚 m/s gravity (g) 9.8 m/s2 m/s2 Work and Power Equations and Units Equations Unit Work W=Fxd Joule (J) Force F=W÷d Newton (N) Distance d=W÷F Meter (m) Power P=W÷t Watt (W) 4 Work W=Pxt Joule (J) Time t=W÷P Seconds (s)