Calculate the maximum acceleration of a car that is heading down a 14.0° slope (one that makes an angle of 14.0° 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. (Define the positive direction to be down the slope.)
Part 1
Calculate the maximum acceleration of the car on dry concrete, with a coefficient of static friction of 0.980.
Part 2
Calculate the maximum acceleration of the car on wet concrete, with a coefficient of static friction of 0.690.
Part 3
Calculate the maximum acceleration of the car on ice, with a coefficient of static friction of 0.210.