AP physics- finding buoyant force

In summary, the buoyant force on the block of material completely submerged in water can be found by using the equation Fb= p x V x g, where p is the density of the fluid (in this case, water), V is the displaced volume, and g is the acceleration due to gravity. The equation Fb=Fg can also be used, where Fg is the gravitational force on the block. However, the answer should be in Newtons. To find the volume displaced by the block in water, you can use the equation V=m/p, where m is the mass of the block and p is the density of the block.
  • #1
astru025
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Homework Statement



A cubic meter of some material has a mass of 8600 kg. The block of material is lowered into a lake by a strong cable until the block is completely submerged. Find buoyant force on the block.

Homework Equations



Fb= p x V x g.
p= density of fluid, density of water is 1 g/cm^3.
V= displaced volume
g=9.8 m/s


The Attempt at a Solution


So far I have Fb= 1g/cm^3 x V x 9.8 m/s. I need to find V or the volume displaced by the cube in water. How do I do this? Any help would be appreciated! Thanks!
 
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  • #2
Have you tried using Fb=Fg?
 
  • #3
What is the equation for Fg?
 
  • #4
8600 kg x 9.8 m/s^2? Yes tried this, says it is wrong. My answer needs to be in Newtons
 

1. What is buoyant force?

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

2. How do you calculate buoyant force?

Buoyant force can be calculated by multiplying the density of the fluid by the volume of the displaced fluid and the acceleration due to gravity. The formula is Fb = ρVg, where Fb is the buoyant force, 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 displaced fluid, and the acceleration due to gravity. It is also affected by the shape and size of the object immersed in the fluid.

4. How is buoyant force related to Archimedes' principle?

Buoyant force is directly related to Archimedes' principle, which states that the buoyant force on an object immersed in a fluid is equal to the weight of the fluid that the object displaces. This principle helps explain why objects float or sink in fluids.

5. How is buoyant force used in everyday life?

Buoyant force is used in many everyday life situations, such as in swimming and boating. It is also used in the design of ships and other floating structures. Additionally, understanding buoyant force is important for scientists and engineers working with fluids, such as in the design of submarines and hot air balloons.

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