Determine the weight of the all-terrain vehicle if, with a total track area of 1.5 m2, it exerts a pressure of 5 kPa on the soil.

Given:

s = 1.5 square meters – the total area of the tracks of the all-terrain vehicle;

P = 5 kPa – pressure exerted by the all-terrain vehicle on the soil;

g = 10 Newton / kilogram – acceleration of gravity.

It is required to determine m (kilogram) – the mass of the all-terrain vehicle.

Let’s convert pressure units from kilopascals to pascals:

P = 5 kPa = 5 * 1000 = 5000 Pascal.

Then the force with which the all-terrain vehicle presses on the soil is equal to:

F = P * s = 5000 * 1.5 = 7500 Newton.

This force is equal to the force of gravity acting on the all-terrain vehicle, that is:

m = F / g = 7500/10 = 750 kilograms.

Answer: the mass of the all-terrain vehicle is 750 kilograms.