Question

A body weighs 10N in air and 8N when immersed completely in a liquid of density 0.86g\cm^ 3.Find the volume of the body (gravity=10m\s^2)​

Answer 1

Density of water = 1 g / cm^3 = 1000 kg / m^3

(Density and specific gravity have same numerical values)

Weight of water = 10 * M = 10000 Newtons / m^3

W = weight in air = weight in water + B where B = buoyant force

B = 10 - 8 = 2 Newtons

B = 2 N = v * 10000 N / m^3 * .86 (where .86 is weight of liquid displaced as compared to water))

v = (2 / 10000 m^3) / .86 = = .0002.33 m^3