Answer:
A) 37 m
Explanation:
When the driver slams on the brakes, the force of friction acting on the car provides the deceleration that will cause the car to stop, according to Newton's second law:
[tex]-\mu mg = ma[/tex]
where
[tex]\mu = 0.80[/tex] is the coefficient of friction
m = 1000 kg is the mass of the car
g = 9.8 m/s^2
a is the deceleration
Substituting into the formula, we find the deceleration:
[tex]a=- \mu g=-(0.80)(9.8 m/s^2)=-7.84 m/s^2[/tex]
Now we can find the length of the skid with the SUVAT equation:
[tex]v^2 - u^2 = 2ad[/tex]
where
v = 0 is the final velocity of the car
u = 24 m/s is the initial velocity
d is the length of the skid
Substituting, we find
[tex]d=\frac{v^2 -u^2}{2a}=\frac{0-(24 m/s)^2}{2(-7.84 m/s^2)}=36.7 m \sim 37 m[/tex]
