Acceleration of connected bodies (a = F/(m₁ + m₂))

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a = F/(m₁ + m₂)

What each symbol means

SymbolWhat it stands for
FNet external force on the system (N)
aCommon acceleration of the system (m/s²)
m₁Mass of first body (kg)
m₂Mass of second body (kg)

When to use this

Two bodies connected via string or contact, moving together with same acceleration. Contact force: F₁₂ = m₂a = m₂F/(m₁+m₂). Extends to N bodies: a = F/Σmᵢ.