A body weight 0.8N when it is in air and 9.5N when completely immerserd in water
Calculate
i) the density of the body
ii) relative density of the body
To calculate the density of the body, we can use the formula:
Density = Mass / Volume
However, we don't have the mass or the volume of the body, so we need to find a way to calculate them using the given information.
i) Calculating Density:
First, let's consider the body in air. We know that the weight of the body in air is 0.8N. Weight is given by the formula:
Weight = Mass * Gravity
Where the acceleration due to gravity is approximately 9.8 m/s^2. Rearranging the formula, we can find the mass:
Mass = Weight / Gravity
Substituting the values, we get:
Mass = 0.8N / 9.8 m/s^2 ≈ 0.082 kg
Next, let's consider the body completely immersed in water. We know that the weight of the body in water is 9.5N. Applying the same formula for weight, we have:
Weight = Mass * Gravity
Substituting the values, we can find the mass:
9.5N = Mass * 9.8 m/s^2
Mass = 9.5N / 9.8 m/s^2 ≈ 0.969 kg
Now that we have the mass, we can calculate the volume of the body using Archimedes' principle:
Volume = (Mass in air - Mass in water) / Density of water
Substituting the values, we get:
Volume = (0.082 kg - 0.969 kg) / 1000 kg/m^3 ≈ -0.887 m^3
Since the volume cannot be negative, it seems there might be an error in the given information. Please double-check the values and ensure they are correct because a body cannot have a negative volume.
ii) Calculating Relative Density:
Relative density is the ratio of the density of the body to the density of the fluid it's immersed in. In this case, it is the ratio of the density of the body to the density of water.
Relative Density = Density of the body / Density of water
To calculate the relative density, we need to find the density of the body, which we already calculated in part (i), and the density of water, which is approximately 1000 kg/m^3.
Relative Density = Density of the body / Density of water
Substituting the values, we get:
Relative Density = (Mass / Volume) / Density of water
Again, as the volume seems to be negative, please double-check the given values. Assuming positive values, you can calculate the relative density using the formula as explained above.