What is the buoyant force acting on the rock?

In summary, buoyant force is the upward force exerted by a fluid on an object immersed in it, and it is equal to the weight of the displaced fluid. It is calculated using Archimedes' principle and is affected by factors such as fluid density, object volume, and gravity. The buoyant force can be greater than the weight of the object, which allows objects to float in a fluid.
  • #1
mike2007
46
0
A rock with a volume of 0.2m3 is fully sumberged in water with density of 1000kg/m3. What is the buoyant force acting on the rock?

Assume that gravity acts on the system
0.2m3*9.81m/s2 = 1.96
buoyant force = 1000kg/m3*1.96
= 1960N
?
 
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  • #2
Check the units of your answer. You do not have the correct expression for buoyant force. The buoyant force on an object also depends upon the volume submerged:

[tex]F_b=\rho g V[/tex] where V is the volume submerged.
 
  • #3
Ok, i get it now. makes it a lot clearer.
thanks
 

1. What is the definition of buoyant force?

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

2. How is the buoyant force calculated?

The buoyant force can be calculated using Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid that is displaced by the object. This can be represented by the equation Fb = ρVg, where ρ is the density of the fluid, V is the volume of the displaced fluid, and g is the acceleration due to gravity.

3. What factors affect the buoyant force?

The buoyant force is affected by the density of the fluid, the volume of the object immersed in the fluid, and the acceleration due to gravity. The shape and size of the object can also affect the buoyant force.

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

Yes, the buoyant force can be greater than the weight of the object. This is especially true for objects that are less dense than the fluid they are immersed in, such as a boat on water.

5. How does buoyant force contribute to an object's ability to float?

Buoyant force is what enables objects to float in a fluid. If the buoyant force is greater than the weight of the object, the object will float. If the buoyant force is less than the weight of the object, the object will sink.

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