MCAT Physics Question 56: Answer and Explanation
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Question: 56
11. Balls A and B of equal mass are floating in a swimming pool, as shown below. Which will produce a greater buoyant force?
- A. Ball A
- B. Ball B
- C. The forces will be equal.
- D. It is impossible to know without knowing the volume of each ball.
Correct Answer: A
Explanation:
The buoyant force (Fbuoy) is equal to the weight of water displaced, which is quantitatively expressed as
Fbuoy = mfluid displacedg = ρfluidVfluid displacedg
The volume of displaced fluid is equal to the volume of the ball. The density of the fluid remains constant. Therefore, because ball A has a larger volume, it will displace more water and experience a larger buoyant force.