Final answer:
To determine the portion of the wood block immersed in a denser liquid, we apply the principle of buoyancy and Archimedes' Principle, computing the block's volume from its weight and density, and using the liquid's density to find the volume of liquid displaced (which equals the submerged volume of the block).
Step-by-step explanation:
Calculating the Portion of Wood Immersed in LiquidTo calculate the portion of the block of wood immersed in a liquid with a higher density, we use the concept of buoyancy and Archimedes' Principle, which states that the upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid the body displaces. The block of wood in this scenario has a density of 0.6 g/cm³ and experiences a force of 3.05 N due to gravity. Since weight (W) can be given by W = m × g, where m is mass and g is the acceleration due to gravity (9.8 m/s²), we can calculate the volume (V) of the wood block as V = weight/density.
Given that the density of the liquid is 0.9 g/cm³, the percentage of the wood block immersed in the liquid can be found by determining the volume of the displaced liquid, which is equal to the volume of the wood submerged. To calculate the percentage of the submerged block, we compare the weight of the displaced liquid to the total weight of the wood block. Since the wood block is floating, the weight of the displaced liquid will be equal to the weight of the entire wood block. The calculation involves converting the weights and densities into consistent units and solving for the volume of wood submerged using the formula for buoyancy.
From the weight of the wood (3.05 N) and its density (0.6 g/cm³), we find the volume of the wood. Next, by applying Archimedes' Principle and knowing the density of the liquid (0.9 g/cm³), we calculate the volume of the liquid displaced, which is the same as the volume of the submerged part of the wood. Finally, we express the volume of the submerged part as a percentage of the total volume of the wood to get the portion of the wood that is immersed.