Question

7. Student submerged an iron block of mass 79 g into a beaker of water. Calculate the volume of displaced water and the upthrust of the water?

Answer 1

To calculate the volume of displaced water and the upthrust of the water, we need to use the principles of Archimedes' principle. According to Archimedes' principle, the upthrust or buoyant force experienced by an object submerged in a fluid is equal to the weight of the fluid displaced by the object.

1. Calculate the volume of displaced water: The density of water is approximately 1 gram per cubic centimeter (g/cm³). Since the mass of the iron block is given in grams, we can directly use the mass as the volume of the water displaced. Therefore, the volume of displaced water is 79 cm³.

2. Calculate the upthrust: The upthrust is equal to the weight of the displaced water. The weight can be calculated using the formula: Weight = mass × acceleration due to gravity

The acceleration due to gravity is approximately 9.8 meters per second squared (m/s²).

Converting the mass of the iron block to kilograms: Mass = 79 g = 79/1000 kg = 0.079 kg

Calculating the upthrust: Upthrust = Weight = mass × acceleration due to gravity Upthrust = 0.079 kg × 9.8 m/s²

Therefore, the upthrust of the water is approximately 0.7742 newtons (N).

To summarize:

• The volume of displaced water is 79 cm³.
• The upthrust of the water is approximately 0.7742 N.