A driver in a 1000 kg car traveling at 32 m/s slams on the brakes and skids to a stop. If the coefficient of friction between the tires and the horizontal road is 0.80, how long will the skid marks be?A. 81 mB. 60 mC. 65 mD. 52 m

Respuesta :

Answer:

Distance traveled will be 65.3 m

So option (c) will be correct option

Explanation:

We have given mass of the car m = 1000 kg

Velocity v = 32 m /sec

Coefficient of friction = 0.8

The force on the car will be equal to frictional force

So [tex]ma=\mu mg[/tex]

[tex]a=\mu g=0.8\times 9.8=7.84m/sec^2[/tex]

When the car stops its final velocity will be zero

According to third equation of motion we know that

[tex]v^2=u^2+2as[/tex]

So [tex]s=\frac{u^2}{2a}=\frac{32^2}{2\times 7.84}=65.30m[/tex]

So option (c) will be correct answer