AP Physics 2mediummcq1 pt

Water flows through a horizontal pipe with a diameter of 4 cm at a velocity of 2 m/s. The pipe narrows to a diameter of 2 cm. What is the velocity of the water in the narrow section?

A.A) 0.5 m/s
B.B) 1 m/s
C.D) 8 m/s
D.C) 4 m/s

Explanation

Core Concept

By the continuity equation, A₁v₁ = A₂v₂. The area ratio is (d₁/d₂)² = (4/2)² = 4. Therefore, v₂ = v₁ × (A₁/A₂) = 2 m/s × 4 = 8 m/s.

Correct Answer

CD) 8 m/s

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