# The support area of the tractor tracks is 1.2 m2. What is the weight of the tractor if its ground pressure is 35 kPa?

S = 1.2 m2.

g = 10 N / m.

P = 35 kPa = 35 * 10 ^ 3 Pa.

m -?

The tractor pressure on the soil P is determined by the formula: P = F / S, where F is the force with which the tractor presses on the soil, S is the area of contact of the tractor with the soil.

The tractor presses on the soil by the force of its weight, the value of which is expressed by the formula: F = m * g, where m is the mass of the tractor, g is the acceleration of gravity.

P = m * g / S.

We find the mass of the tractor by the formula: m = P * S / g.

m = 35 * 10 ^ 3 Pa * 1.2 m2 / 10 N / m = 4.2 * 10 ^ 3 kg = 4.2 t.

Answer: the mass of the tractor is m = 4.2 tons.

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