A body with a volume of 300 cubic centimeters, completely immersed in a liquid, acts on an Archimedean

A body with a volume of 300 cubic centimeters, completely immersed in a liquid, acts on an Archimedean force of 2.4 N. What is the density of the liquid?

Given:

V = 300 cubic centimeters = 0.0003 m3 – the volume of a body completely immersed in liquid;

g = 9.8 meters per second squared – gravitational acceleration (constant near the surface of the earth);

Farchimedes = 2.4 Newton – Archimedean (buoyancy) force acting on the body from the side of the fluid.

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

To determine the density of a liquid, you must use the following formula:

Farchimedes = ro * g * V, from here we find:

ro = Farchimedes / (g * V) = 2.4 / (9.8 * 0.0003) = 2.4 / 0.00294 = 816.3 kg / m3.

Answer: the density of the liquid is 816.3 kg / m3.