Problem-Solving: Determining Force of a Submerged Block with Density and Volume

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To determine the force of the cord on a submerged block with a density of 545 kg/m³ and a volume of 0.645 m³, one must consider the three forces acting on the block: the buoyant force, the gravitational force, and the tension in the rope. The buoyant force can be calculated using the equation F_buoyant = ρ_fluid * V_submerged, where ρ_fluid is the density of the fluid. The gravitational force acting on the block is the product of its density, volume, and gravitational acceleration. The tension in the rope must balance the gravitational force and the buoyant force, leading to the equation T = F_gravity - F_buoyant. Understanding these relationships allows for the successful calculation of the cord's force on the block.
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A block with a density of 545 kg/m^{3} and a volume of 0.645 m^{3} is held completely under water by means of a rope. Determine the magnitude of the force of the cord on the block.

Relevant Equations
F_{}buotant = \rho_{}fluidV_{}submerged
Unsure about any others...

I had no idea how to even solve or approach this problem. Much thanks appreciated!
 
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Draw a free body diagram. There are 3 forces acting on the block: The buoyant force, the gravitational force and the tension in the string.

The gravitational force and the tension are in the same direction, but the buoyant force is in the other. Hence, those two forces must equal the third. Can you solve it now?
 
thanks i understand the problem now
 

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