F=ma 2025 Problem 16

Physics · mechanics

Problem

Question: Two soap bubbles of radii R1=1cmR_1 = 1 cm and R2=2cmR_2 = 2 cm conjoin together in the air,such that a narrow bridge forms between them. Assuming the system starts in equilibrium, the bubbles are extremely thin, and that air can flow freely between the bubbles through the bridge, describe the evolution and final state of the bubbles. (A) The smaller bubble will shrink and the larger bubble will grow. (B) The larger bubble will shrink and the smaller bubble will grow. (C) The bubbles will maintain their sizes. (D) Air will oscillate between the two bubbles. (E) Both bubbles will simultaneously shrink.

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