Buoyant force same for all object of same volume?

In summary, when ranking the buoyant forces exerted on the five objects of equal volume in a swimming pool, they are all equal. This is because buoyant force depends only on the volume displaced, regardless of whether it is stronger or weaker than the weight of the object. However, when reaching mechanical equilibrium, some objects may not be fully submerged, resulting in a smaller amount of water being displaced and a lower buoyant force. Therefore, the ranking in this case is e=b=d>a>c.
  • #1
david13579
20
0
Rank the buoyant forces exerted on the following five objects of equal volume from the largest to the smallest. Assume the objects have been dropped into a swimming pool and allowed to come to mechanical equilibrium. If any buoyant forces are equal, state that in your ranking. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.)
(a) a block of solid oak
(b) an aluminum block
(c) a beach ball made of thin plastic and inflated with air
(d) an iron block
(e) a thin-walled, sealed bottle of water


My answer? They are all equal since the buoyant force depends only on the volume displaced (whether the buoyant force is stronger or weaker than the weight of the object is irrelevant in this case I think). Cramster also says they are all equal and one of my classmates say it is equal too.

Webassign says they are not equal.
 
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  • #2
When they achieve mechanical equilibrium, some of them are not fully submerged. Those not fully submerged, displace an amount of water that's' less than for those that stay submerged.
 
  • #3
What's the definition of 'buoyant force' intended in the question?
 
  • #4
Thanks a lot man. So in the end it comes to e=b=d>a>c
 
  • #5
But don't forget the restriction that they are at mechanical equilibrium. Buoyancy force is only related to volume of water that is replaced. While in equilibrium, some of them are not completely in water, which means no water displaced.
 

Related to Buoyant force same for all object of same volume?

1. What is buoyant force?

Buoyant force is the upward force exerted by a fluid on an object immersed in it. It is equal to the weight of the fluid that the object displaces.

2. Why is buoyant force important?

Buoyant force is important because it explains why objects float or sink in a fluid. It also plays a crucial role in many scientific concepts, such as Archimedes' principle and the behavior of ships and submarines.

3. Is buoyant force the same for all objects of the same volume?

Yes, buoyant force is the same for all objects of the same volume, regardless of their shape or density. This is because the buoyant force depends on the weight of the fluid displaced, which is determined by the volume of the object.

4. How does the density of an object affect the buoyant force?

The density of an object does not affect the buoyant force directly. However, it does determine whether the object will float or sink in a fluid. Objects with a lower density than the fluid will float, while objects with a higher density will sink.

5. Can buoyant force be greater than the weight of an object?

Yes, buoyant force can be greater than the weight of an object, which results in the object floating in the fluid. This occurs when the object has a lower density than the fluid it is immersed in, causing it to displace a greater weight of fluid than its own weight.

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