Answer:
126.56 m
Explanation:
Applying,
-F = ma............. Equation 1
Where F = frictional force, m = mass of the car, a = acceleration.
Note: Frictional force is negative because it act in opposite direction to motion
But,
F = mgμ.......... Equation 2
Where g = acceleration due to gravity, μ = coefficient of friction
Substitute equation 2 in equation 1
-mgμ = ma
a = -gμ.............. Equation 3
From the question,
Given: μ = 0.735
Constant: 9.8 m/s²
Substitute these values in equation 3
a = -9.8×0.735
a = -7.203 m/s²
Finally,
Applying
v² = u²+2as.............. Equation 4
Where v = final velocity, u = initial velocity, s = distance
From the question,
Given: u = 42.7 m/s, v = 0 m/s (to a stop), a = -7.203 m/s²
Substitute these values into equation 4
0² = 42.7²+2(-7.203)s
-1823.29 = -14.406s
s = -1823.29/-14.406
s = 126.56 m
