AP Physics 2hardmcq1 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.4v
B.v/2
C.v/4
D.2v
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
A4v
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