AP Physics 2mediummcq1 pt

Water flows through a pipe that narrows from radius R to radius R/2. If the speed in the wide section is v, what is the speed in the narrow section?

A.2v
B.4v
C.v/2
D.v/4

Explanation

Core Concept

By the continuity equation A₁v₁ = A₂v₂. Area ∝ r², so πR²·v = π(R/2)²·v₂, giving R²v = R²v₂/4, so v₂ = 4v.

Correct Answer

B4v

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