When weighing a body in air, the dynamometer shows 4.4N, and in water, 1.6N. Get ahead of the body volume.

Given:

P1 = 4.4 Newton – body weight in air (dynamometer readings);

P2 = 1.6 Newton – body weight in water (dynamometer readings);

ro = 1000 kilograms / cubic meter – water density;

g = 10 Newton / kilogram – acceleration of gravity.

It is required to determine V (cubic meter) – the volume of the body.

According to Archimedes’ law, we find the value of the Archimedean force acting on a body immersed in water:

F (Archimedes) = P1 – P2 = 4.4 – 1.6 = 2.8 Newton.

Then, to determine the volume of the body, you must use the following formula:

F (Archimedes) = ro * g * V, from here we find that:

V = F (Archimedes) / (ro * g) = 2.8 / (1000 * 10) = 2.8 / 10000 = 2.8 * 10-4 cubic meters (0.28 liters).

Answer: the volume of the body is 2.8 * 10-4 cubic meters.