A car is traveling at 58.2 km/h on a flat highway. The acceleration of gravity is 9.81 m/s 2 . a) If the coefficient of kinetic friction between the road and the tires on a rainy day is 0.178, what is the minimum distance needed for the car to stop? Answer in units of m.\

Respuesta :

Answer:

The answer is 75.4 meters

Explanation:

The car is traveling with constant velocity, when the car stop the fritcion force will reduce the velocity to zero, so:

[tex]Fr=-uk*mg\\Fr=0.178*mc*9.81=mc*1.74N\\ar=\frac{mc*1.74N}{mc}\\ar=1.74m/s^2[/tex]

so using the accelerated motion formulas:

[tex]vf^2=vo^2+a*d\\[/tex]

[tex]vo=58.2km/h*\frac{1h}{3600s}*\frac{1000m}{1km}=16.2m/s[/tex]

[tex]0=(16.2m/s)^2-2*(1.74m/s^2)*d\\d=75.4m[/tex]