Solving the Mystery of Denser Ball in Water: Buoyancy & Density

In summary, the denser ball would float deeper in the water because it must displace more water to equal the buoyant force and float, as stated by Archimedes's principle.
  • #1
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I have a rather simple question which I can't seem to find an answer to

If I have two balls, one denser than the other, but of same volume, and let them float on water, would the denser one float deeper in the water?

The water is the same and the density of the two balls are less than the density of the water. I think the denser one would float but more of it would be submerged. Is this correct?

Thanks
 
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  • #2
Yes. Just consult Archimedes's principle. In order to float, the buoyant force must equal the weight of the ball. And the buoyant force is always given by the weight of the displaced fluid. So the heavier ball must displace more water in order to float.
 

FAQ: Solving the Mystery of Denser Ball in Water: Buoyancy & Density

1. What is buoyancy and how does it relate to density?

Buoyancy is the upward force that a fluid (such as water) exerts on an object that is partially or fully submerged in it. The amount of buoyant force experienced by an object is equal to the weight of the fluid it displaces. Density, on the other hand, is a measure of how much mass is packed into a given volume. When an object is less dense than the fluid it is submerged in, it will experience a greater buoyant force and float. When an object is more dense than the fluid, it will sink.

2. Why does a denser ball sink in water while a less dense ball floats?

This is because the denser ball is more compact and has a greater mass per unit of volume compared to the less dense ball. As a result, the denser ball displaces less water and experiences a smaller upward buoyant force. On the other hand, the less dense ball displaces more water and experiences a greater upward buoyant force, allowing it to float.

3. What is the relationship between the density of an object and its buoyant force?

The density of an object and its buoyant force have an inverse relationship. As the density of an object increases, its buoyant force decreases. This is because as an object becomes more dense, it displaces less water and therefore experiences a smaller upward force.

4. How can we measure the density of an object?

The most common way to measure the density of an object is by using the formula: density = mass/volume. Mass can be measured using a scale, and volume can be determined by measuring the dimensions of the object or by immersing it in water and measuring the displacement. Another method is to use a density gradient column, which compares the buoyant forces experienced by different objects of known densities in a liquid.

5. What is the significance of understanding buoyancy and density in solving the mystery of a denser ball in water?

Understanding buoyancy and density allows us to explain why certain objects float or sink in water. In the case of a denser ball sinking, it helps us understand that the ball's density is greater than that of water, resulting in a downward force greater than the upward buoyant force. This knowledge can also be applied to solving real-life problems, such as designing ships and submarines with the right balance of density and buoyancy to float and navigate through water.

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