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Linear Momentum
p=mv, J = FΔt (impulse), FΔt = mΔv (impulse-momentum theorem)
Elastic collision
𝒎 𝟏 𝒗 𝟏 + 𝒎 𝟐 𝒗 𝟐 = 𝒎 𝟏 𝒗 𝟏𝒇 + 𝒎 𝟐 𝒗 𝟐𝒇
Inelastic collision
𝒎 𝟏 𝒗 𝟏 + 𝒎 𝟐 𝒗 𝟐 = (𝒎 𝟏 + 𝒎 𝟐) 𝒗
Explosion
(𝒎 𝟏 + 𝒎 𝟐) 𝒗 𝟎 = 𝒎 𝟏 𝒗 𝟏𝒇 + 𝒎 𝟐 𝒗 𝟐𝒇
Angular Momentum
L=mvr, L = I ω, v = r ω
Kinetic Energy
KE = ½ mv
Linear Momentum unit
𝑘𝑔 m/s
Impulse (or momentum if using J=mΔv)
N·s
Angular Momentum unit
kg m²/s
Angular Velocity ω unit
rad/s
Radius or length
m