Question
Calculate the maximum deceleration of a car that is heading down a slope (one that makes an angle of $6^\circ$ with the horizontal) under the following road conditions. You may assume that the weight of the car is evenly distributed on all four tires and that the coefficient of static friction is involved—that is, the tires are not allowed to slip during the deceleration. (Ignore rolling.) Calculate for a car: (a) On dry concrete. (b) On wet concrete. (c) On ice, assuming that $\mu_s = 0.100$, the same as for shoes on ice.

a) $-8.7 \textrm{ m/s}^2$

b) $-5.8 \textrm{ m/s}^2$

c) $0.05 \textrm{ m/s}^2$ notice that this answer is a positive acceleration. The car is speeding up.

Solution Video