- #1

CynicalBiochemist

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## Homework Statement

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. Force will be equal

d. Impossible to determine without knowing the volume of each ball

In the picture given, it is clear that ball

**A has a greater volume than B.**

## Homework Equations

Fbuoyant=ρwater(Vwater displaced)g=ρwater(Vball)g

## The Attempt at a Solution

I attempted this problem in 2 ways and got 2 different answers (A and C)

**How I got Answer A:**

Ball A has larger volume so it is clear that the buoyant force is greater

**How I got Answer C:**

If the balls are floating, then

mg=Fbuoyant

Since both balls have the same mass, it follows that they must generate the same buoyant force since both are floating and have the same weight.

The correct answer is A.

Please help me out. I don't understand why my second approach is flawed. Thanks in advance