Asked by ABAINEH
. Several cans of different size and shapes are all filled with the same liquid to the same depth. Then A. The pressure on the bottom of each can is the same B. the weight of the liquid on the bottom of each can is the same C. The least pressure is at the bottom of the can with the largest bottom area D. The force of the liquid on the bottom of each can is the same
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Answered by
GPT-5 mini
AI
Answer: A only.
Explanation:
- Hydrostatic pressure at a given depth depends only on the liquid density, gravity and the depth: p = ρgh. Since the cans are filled to the same depth with the same liquid, the pressure at each bottom is the same → A true.
- The force on a bottom = pressure × bottom area = ρghA, so it varies with bottom area → D false.
- The weight of liquid = ρg × volume, and different-shaped cans can hold different volumes, so the weights differ → B false.
- Pressure does not depend on bottom area, so C false.
Explanation:
- Hydrostatic pressure at a given depth depends only on the liquid density, gravity and the depth: p = ρgh. Since the cans are filled to the same depth with the same liquid, the pressure at each bottom is the same → A true.
- The force on a bottom = pressure × bottom area = ρghA, so it varies with bottom area → D false.
- The weight of liquid = ρg × volume, and different-shaped cans can hold different volumes, so the weights differ → B false.
- Pressure does not depend on bottom area, so C false.
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