A car weighing 1,5 t moves at a constant speed of 27 km / h.

A car weighing 1,5 t moves at a constant speed of 27 km / h. The movement resistance coefficient is 0.02. How much power does the car’s engine generate?

Given:
m = 1.5 t = 1500 kg.
V = 27 km / h = 7.5 m / s.
g = 10 m / s2.
μ = 0.1.
Decision:
N -?
Power N = A / t.
Mechanical work A = Ft * S,
We express the displacement S by the formula: S = V * t.
The traction force Ft is used to overcome the friction force Ftr: Ft = Ftr.
Ftr = μ * m * g.
Fт = μ * m * g.
A = μ * m * g * V * t.
N = μ * m * g * V * t / t = μ * m * g * V.
N = 0.1 * 1500 kg * 10 m / s2 * 7.5 m / s = 11250 W.
Answer: the power of the car engine is N = 11250 W.