During plowing, the tractor overcomes a drag force of 75 kN and develops a power of 150 kW.

During plowing, the tractor overcomes a drag force of 75 kN and develops a power of 150 kW. Find the tractor speed?

Given:

F = 75 kN – resistance force that the tractor overcomes during plowing;

N = 150 kW – power developed by the tractor.

It is required to determine v (m / s) – the speed of the tractor.

Since the condition of the problem is not specified, we assume that the tractor is moving at a constant speed.

Let’s convert units of force measurement from kN to Newton:

F = 75 kN = 75 * 1000 = 75000 Newtons.

Let’s convert the units of measurement of power from kW to Watt:

N = 150 kW = 150 * 1000 = 150,000 watts.

Then, we find the speed of the tractor from the formula:

N = F * v, hence:

v = N / F = 150,000 / 75,000 = 150/75 = 2 m / s.

Answer: The tractor speed is 2 m / s.