Final answer:
The volume of the block is calculated to be 0.000204 m³ or 204 cm³ by using the principle of buoyancy and the difference between the weight in air and the weight in water.
Step-by-step explanation:
To find the volume of the block, we use the principle of buoyancy which states that the upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid that the body displaces. The weight of the block in air is 9N, and the weight in water is 7N. The apparent loss of weight when submerged in water is equal to the weight of the water displaced by the block, which is 9N - 7N = 2N. To find the volume of the water displaced, which is equivalent to the volume of the block, we use the relation that the weight of the displaced water (2N) is equal to the volume of water displaced multiplied by the acceleration due to gravity (approximately 9.81 m/s²) and the density of water (approximately 1000 kg/m³). Hence, the volume of the block can be calculated using the formula:
Volume = Weight of displaced water / (Density of water × Gravitational acceleration)
Thus, the volume of the block is:
Volume = 2N / (1000 kg/m³ × 9.81 m/s²) = 2 / 9810 = 0.000204 m³ or 204 cm³.