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AP Physics 1/Unit 8 – Fluids
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Continuity Equation for a Branched Pipe
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An incompressible fluid flows through a main pipe of cross-sectional area A₀ at a speed v₀. The pipe splits into two branches with cross-sectional areas A₁ and A₂, where the fluid speeds are v₁ and v₂, respectively. Which equation correctly represents the conservation of mass for this fluid flow?

A

A₀/v₀ = A₁/v₁ + A₂/v₂

B

A₀v₀² = A₁v₁² + A₂v₂²

C

A₀v₀ = A₁v₁ - A₂v₂

D

A₀v₀ = A₁v₁ + A₂v₂

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