When driving uniformly at a speed of 30 km / h, the vehicle develops a traction force of 2.446 kN

When driving uniformly at a speed of 30 km / h, the vehicle develops a traction force of 2.446 kN. Determine the developed engine power.

V = 30 km / h = 8.3 m / s.

Ft = 2.446 kN = 2446 N.

N -?

Power N is called a scalar physical quantity, which shows the speed of performing mechanical work. Power N is determined by the formula: N = A / t.

We express the mechanical work A by the formula: A = Ft * S, where Ft is the thrust force of the engine, S is the movement of the car.

Since the car moves uniformly, the speed of its movement is expressed by the formula: V = S / t.

The formula for the power will take the form: N = Ft * S / t = Ft * V.

N = 2446 N * 8.3 m / s = 20302 W.

Answer: the power of the car engine is N = 20302 W.