When lifting the box with nails to a height of 6m, work was done in 1592J.

When lifting the box with nails to a height of 6m, work was done in 1592J. Calculate the weight of the nails if you know that the weight of the box is 2 kg.

Given:

h = 6 meters – the height to which the box with nails was raised;

A = 1592 Joule – the work done to lift the box with nails;

m = 2 kilograms – box weight.

It is required to determine m1 (kilogram) – the mass of nails.

Let’s calculate the force that was applied to lift the box with nails:

F = A / h = 1592/6 = 265.3 Newton.

This force will be equal to the total force of gravity acting on the box and nails:

F = F gravity = (m + m1) * g, where g = 10 Newton / kilogram (approximate value);

F = m * g + m1 * g;

m1 * g = F – m * g;

m1 = (F – m * g) / g = F / g – m;

m1 = 265.3 / 10 – 2 = 26.53 – 2 = 24.53 kilograms.

Answer: the weight of the nails is 24.53 kilograms.