F=ma 2025 Problem 22

Physics · mechanics

Problem

As shown in the figure, water flows through a pipe with a radius of

5 cm

at a velocity of

10 cm/s

before entering a narrower section of pipe with a radius of

2.5 cm

. --- Question: To measure this difference, two graduated cylinders are connected to the top of the pipe (one in the broad section and the other in the narrowed section). Water then flows up each pipe and the height the water reaches is measured. Estimate the difference in height between the two cylinders. (A)

6.3 mm

. (B)

7.5 mm

. (C)

8.2 mm

. (D)

12.2 mm

. (E)

12.7 mm

. *Note: This problem references figure(s): `image_question/F=MA_2025_22_1.png`*

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