What is the modulus of acceleration of a car with a mass of 1 t when braking

What is the modulus of acceleration of a car with a mass of 1 t when braking on a horizontal surface if the coefficient of friction against asphalt is 0.4?

m = 1 ton = 1000 kilograms – vehicle weight;

k = 0.4 – coefficient of friction on asphalt;

g = 10 m / s ^ 2 – acceleration of gravity.

It is required to determine the vehicle acceleration modulus a (m / s ^ 2).

During braking of the car, only the friction force acts on it, that is, according to Newton’s second law:

Ftr = m * a;

kN = m * a;

k * m * g = m * a, hence:

a = k * g = 0.4 * 10 = 4 m / s ^ 2.

Answer: the car is accelerated equal to 4 m / s ^ 2.