Final answer:
To find the tension force and the density of a submerged block, apply Archimedes' Principle and use the given buoyant force and mass. Calculate the weight of the block, find the tension using the weight and buoyant force, and then determine the block's density with its mass and the volume of water displaced.
Step-by-step explanation:
The question involves determining the force of tension on a block submerged in a liquid and the density of the block itself, using the concepts of buoyancy and Archimedes' Principle. The buoyant force has been given as 423.4N, and the block's mass is 36kg.
First, we calculate the weight of the block, which is the mass times gravitational acceleration, W = mg. Then, we use the buoyant force and the weight of the block to find the tension in the string holding the block, which is T = W - Fb, where Fb is the buoyant force. The density of the block can be determined by using the formula for buoyant force, Fb = ρfluidVdisplacedg, where ρfluid is the density of the fluid and Vdisplaced is the volume of fluid displaced by the block.
To calculate it, we need to find the volume of the block by rearranging the buoyancy formula, and then use the mass and volume of the block to find its density.