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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 pipe that splits into two branches with cross-sectional areas A₁ and A₂. If the fluid speeds in these branches are v₁ and v₂ respectively, which equation correctly represents the conservation of mass flow rate?

A

A₀/v₀ = A₁/v₁ + A₂/v₂

B

A₀v₀ = A₁v₁ - A₂v₂

C

A₀v₀² = A₁v₁² + A₂v₂²

D

A₀v₀ = A₁v₁ + A₂v₂

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