Final answer:
To find the relative density of the body, subtract the weight in water from the weight in air to find the weight of the water displaced. Then, divide the weight of the water displaced by the density of water to find the volume of water displaced.
Step-by-step explanation:
To find the relative density of the body, we need to first calculate the volume of the body. We can use the fact that the weight of the body in air is equal to the weight of the body in water minus the weight of the water displaced by the body.
Weight in air = Weight in water - Weight of water displaced: Weight of water displaced = Weight in air - Weight in water = 75 N - 37.5 N = 37.5 N, Density of water = 1000 kg/m³, Volume of water displaced = Weight of water displaced / Density of water = 37.5 N / 1000 kg/m³ = 0.0375 m³
Volume of the body = Volume of water displaced = 0.0375 m³, Mass of the body = Weight of the body in air / acceleration due to gravity = 75 N / 9.8 m/s² = 7.65 kg, Relative density = Density of the body / Density of water = Mass , of the body / Volume of the body / Density of water = 7.65 kg / 0.0375 m³ / 1000 kg/m³ = 2.04. Therefore, the relative density of the body is approximately 2.0.