A body with a volume of 300 cm3, completely immersed in a liquid, is subject to the Archimedes

A body with a volume of 300 cm3, completely immersed in a liquid, is subject to the Archimedes’ law of force 2.4N. What is the density of the liquid.

Given:

Farchimedes = 2.4 Newtons – Archimedean force acting on a body completely immersed in a liquid;

V = 300 cubic centimeters – body volume;

g = 10 m / s2 – acceleration of gravity.

It is required to determine ro (kg / m3) – the density of the liquid.

Let’s convert the units of measurement of volume from cubic centimeters to cubic meters:

V = 300 cm3 = 300 * 10-6 = 3 * 10-4 cubic meters.

Then, to determine the density of the liquid, you must use the following formula:

Farchimedes = ro * V * g, hence:

ro = Farchimedes / (V * g) = 2.4 / (3 * 10-4 * 10) = 2.4 / (3 * 10-3) = 0.8 * 103 = 800 kg / m3.

Answer: the density of the liquid is 800 kg / m3.