In what liquid was the body completely immersed if its volume is 200 cm3 and a buoyant force of 160 N acts on it?

Given:

A = 160 Newton – buoyancy (Archimedes) force acting on a body immersed in some liquid;

V = 200 cubic centimeters = 0.02 m3 – body volume;

g = 10 m / s2 – acceleration of gravity.

It is required to determine in which liquid the body was immersed.

Let’s find the density of the unknown liquid:

A = ro * g * V, hence:

ro = A / (g * V) = 160 / (10 * 0.02) = 160 / 0.2 = 800 kilograms per cubic meter.

From the density table we find that three liquids have such a density: kerosene, alcohol, oil.

Answer: The body was immersed in one of three liquids: kerosene, alcohol or oil.