Final answer:
The mass of the stone is 43200 g. The weight of the stone is 423360 Newtons. The apparent weight of the stone in air is 423360 Newtons.
Step-by-step explanation:
To determine the mass of the stone, we can use the formula:
Mass = Density × Volume
Given that the density of the stone is 2.4 g/cm³ and the volume is 18 dm³, we can convert the volume to cm³ by multiplying it by 1000:
Volume = 18 dm³ × 1000 cm³/dm³ = 18000 cm³
Now we can plug the values into the formula to find the mass:
Mass = 2.4 g/cm³ × 18000 cm³ = 43200 g
To find the weight of the stone, we can use the formula:
Weight = Mass × Gravity
Assuming the gravity is 9.8 m/s²:
Weight = 43200 g × 9.8 m/s² = 423360 Newtons
The apparent weight of the stone in air is equal to its actual weight because there is no buoyant force acting on it. Therefore, the apparent weight is 423360 Newtons.
The apparent weight of the stone in water can be found using Archimedes' principle. The buoyant force acting on the stone is equal to the weight of the water displaced by the stone. Since the apparent mass of the stone in water is not given, we cannot calculate the apparent weight.