If you submerge a 3cm cube of ice in cup of water, with what force

In summary, when submerging a 3cm cube of ice in a cup of water, the ice will float up to the surface with a force of ρwatergV-ρicegV. This is determined by using the free body diagram of vertical forces, with the mass of the ice cube and the density of the ice and water as negative forces, and the buoyant force as a positive force. The density of water is used for the buoyant force, while the density of ice is used for the mass of the ice cube.
  • #1
kthejohnster
23
0

Homework Statement


If you submerge a 3cm cube of ice in cup of water, with what force will the ice float up to the surface


Homework Equations



ρgV, F=ma, ρgh

The Attempt at a Solution



I thought to draw free body diagram of vertical forces with mg of ice cube and ρicegAhtop surface as negative forces and positive buoyant force of ρwaterg(htop surface+.03cm)A summing to Fnet.
End up getting ρwatergV-ρicegV=F
I just want to make sure I got the right densities in right places, in other words when do you use the density of water and when do you use the density of ice?
 
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  • #2


kthejohnster said:
End up getting ρwatergV-ρicegV=F

It is correct.

ehild
 

1. What is the force acting on the ice cube when submerged in water?

The force acting on the ice cube when submerged in water is the buoyant force, which is equal to the weight of the water displaced by the ice cube.

2. How can the force on the ice cube be calculated?

The force on the ice cube can be calculated using Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object. In this case, the fluid is water and the object is the ice cube.

3. What factors affect the force on the ice cube when submerged in water?

The force on the ice cube when submerged in water is affected by the density of the ice cube, the density of the water, and the depth at which the ice cube is submerged. These factors determine the amount of water displaced and therefore, the buoyant force.

4. How does the force on the ice cube change as it melts?

As the ice cube melts, its density decreases and it takes up more volume. This results in a change in the buoyant force acting on the cube, which increases as more of the ice cube melts and becomes water.

5. What happens to the force on the ice cube when it reaches equilibrium in the water?

When the ice cube reaches equilibrium in the water, the buoyant force acting on the cube is equal to the weight of the cube. This means that the cube is no longer sinking or floating, but is instead suspended at a certain depth in the water.

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