A spring balance measures the weight of an object in air to be 0.1 N. It shows a reading of 0.08 N when the object is completely immersed in water. If the value of acceleration due to gravity is 10ms2?

Answer 1

It seems that the question did not get finished. I am guessing that you want to know the density of the object. In air, it weighs 0.1 Newton. With an acceleration of 10 m/s^2, we can find the mass by Weight/acceleration = mass. So (0.1 kg*m/s^2) / (10 m/s^2) = 0.01 kg

The weight of water that it displaces is 0.02 Newtons, which has a mass of 0.002 kg. Since water has a density of 1000 kg/m^3, we divide mass/density to get volume. So volume is 2 x 10^-6 m^3

Now divide the mass of the block by the volume, to get the density. (0.01 kg)/(2 x 10^-6 m^3) = 5000 kg/m^3, or 5 times the density of water.