Buoyant force and water displacement

In summary, adding ice to a pond with the same density as water will not change the level, but adding ice with a lower density will increase the level. When two objects with different densities are added to the same glass of water or pond, the object with the lower density will displace more water and cause the level to rise.
  • #1
mrneuro
6
0
couple question regarding buyoancy and water displacment

1. so if you have a pond w/ ρ=1.2 and part of the water in that pond turns into ice will the level decrease increase stay the same? (i think it will stay the same)

2. same pond w/ a ρ=1.2 and you add ice cubes w/ a ρ= 1.2 the cubes should float (im assuming that ρ= 1.2 g/mL has the same characteristics of water) and the level should remain the same?

3. same pond but now you add ice cubes w/ a ρ=1.0 you put them in the level rises and they're only partially submerged...what happens does the level stay the same after it's done melting or does it increase?

4a same pond but now you add ice cube w/ ρ=1.2 and hold it under water will the level decrease after its done melting?

4b same pond but now you add ice cube w/ ρ=1.0 and hold it under water will the level also decrease b/c ice has a greater volume than liquid water?pretty much just wondering when will adding ice increase the level of water after it melts? and what effect do two objects with equal volumes but different densities (say p1 > p2) have on the same glass of water or pond?
 
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  • #2
1. The level of the pond will stay the same, as ice has the same buoyancy as liquid water. 2. The cubes should float and the level should remain the same.3. The level will increase when you add the cubes with a lower density, since the cubes are displacing more liquid water than it would if they had the same density. 4a. The level will decrease after it is done melting, since the ice has a greater volume than liquid water.4b. The level will also decrease, since the ice with the lower density is displacing more liquid water than it would if it had the same density.
 

1. What is buoyant force?

Buoyant force is the upward force exerted by a fluid, such as water, on an object that is submerged in it. This force is caused by the pressure difference between the top and bottom of the object, with the greater pressure at the bottom pushing the object up.

2. How is buoyant force related to water displacement?

Buoyant force is directly related to the amount of water displaced by an object. The more water an object displaces, the greater the buoyant force acting on it. This is why objects with a greater volume have a greater buoyant force than objects with a smaller volume.

3. How does water displacement affect the weight of an object?

When an object is submerged in water, it displaces a volume of water equal to its own volume. This causes the object to feel lighter, as the weight of the water it displaces is equal to the buoyant force acting on it. This is known as the Archimedes' principle.

4. Can an object sink in water if it is less dense than water?

Yes, an object can sink in water if it is less dense than water. This is because buoyant force is only one factor that determines whether an object will sink or float. The weight of the object also plays a role, and if the weight of the object is greater than the buoyant force acting on it, it will sink.

5. How can we calculate the buoyant force on an object?

The buoyant force can be calculated by multiplying the density of the fluid by the volume of the fluid displaced by the object and the acceleration due to gravity. This calculation is known as Archimedes' principle formula: Fb = ρVg, where Fb is the buoyant force, ρ is the density of the fluid, V is the volume of the fluid displaced, and g is the acceleration due to gravity.

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