A body of mass 10kg in air and 4kg in water calculate the volume and its density
Vw=(10kg-4kg) * 1m^3/1000kg = 0.006 m^3
= Vol. of water displaced = Vol. of the
object submerged.
Do = 6kg/0.006m^3 = 1000kg/m^3 = Density
of the object. = Density of water(Dw).
Do/Dw * Vo = 0.006 m^3
(1000/1000) * Vo = 0.006m^3
Vo = 0.006 m^3 = Vol. of the object.
So the object is 100% submerged.
To calculate the volume and density of the body, we need to use the principle of buoyancy. The buoyant force exerted on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. We can use this principle to find the volume of the body in water, and from there, calculate the density.
1. Calculate the volume of the body in water:
- The mass of the body in water is given as 4 kg.
- We know that the density of water, denoted by ρ_water, is approximately 1000 kg/m³.
- The formula to calculate volume is: Volume = Mass / Density.
- Substituting the values, we have: Volume = 4 kg / 1000 kg/m³.
- Calculating this, we find that the volume of the body in water is 0.004 m³ (cubic meters).
2. Calculate the volume of the body in air:
- The mass of the body in air is given as 10 kg.
- In air, the density is much lower than that of water, but we don't need the density value to calculate the volume in air.
- Therefore, the volume of the body in air is the same as its volume in water, which is 0.004 m³.
3. Calculate the density of the body:
- We know that density (ρ) is calculated as: Density = Mass / Volume.
- Substituting the values, we have:
- Density = 10 kg / 0.004 m³.
- Calculating this, we find that the density of the body is 2500 kg/m³.
So, the volume of the body (both in water and air) is 0.004 cubic meters, and the density of the body is 2500 kg/m³.