AP physics- finding buoyant force

AI Thread Summary
To find the buoyant force on a submerged block with a mass of 8600 kg, the relevant formula is Fb = p x V x g, where p is the fluid density, V is the displaced volume, and g is the acceleration due to gravity (9.8 m/s²). The density of water is provided as 1 g/cm³, which converts to 1000 kg/m³ for calculations. The volume displaced by the cube can be determined since it is fully submerged; thus, V equals 1 cubic meter. The buoyant force can then be calculated as Fb = 1000 kg/m³ x 1 m³ x 9.8 m/s², resulting in a buoyant force of 9800 N. Understanding the relationship between buoyant force and the weight of the object is crucial for solving similar problems.
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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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