1. Calculate the mass of the block:
* Density = Mass / Volume
* Mass = Density * Volume
* Mass = 7840 kg/m³ * 0.08 m³
* Mass = 627.2 kg
2. Calculate the weight of the block in air:
* Weight = Mass * Acceleration due to gravity (g)
* Weight = 627.2 kg * 9.8 m/s²
* Weight = 6147.36 N (Newtons)
3. Calculate the buoyant force:
* Buoyant force = Weight of the water displaced by the block
* Volume of water displaced = Volume of the block = 0.08 m³
* Density of water = 1000 kg/m³
* Mass of water displaced = Density * Volume = 1000 kg/m³ * 0.08 m³ = 80 kg
* Weight of water displaced = Mass * g = 80 kg * 9.8 m/s² = 784 N
4. Calculate the force of gravity acting on the block in water:
* Force of gravity in water = Weight in air - Buoyant force
* Force of gravity in water = 6147.36 N - 784 N
* Force of gravity in water = 5363.36 N
Therefore, the force of gravity acting on the steel block in water is approximately 5363.36 Newtons.
