F=ma 2024 Problem 11

Physics · mechanics

Problem

Question: Two hemispherical shells can be pressed together to form a airtight sphere of radius 40cm40 cm. Suppose the shells are pressed together at a high altitude, where the air pressure is half its value at sea level. The sphere is then returned to sea level, where the air pressure is 105Pa10^{5}\mathrm{Pa}. What force FF, applied directly outward to each hemisphere, is required to pull them apart? (A) 25,000N25,000 N. (B) 50,000N50,000 N. (C) 100,000N100,000 N. (D) 200,000N200,000 N. (E) 400,000N400,000 N.

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