the maximum deceleration of a car that is heading down a 6º slope (one that makes an angle of 6º 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 µs = 0.100 , the same as for shoes on ice.
Step-by-step solution Step 1 of 5 Refer the free body diagram below for resolving the forces. Here for the mass, is the normal force and is the coefficient of static friction. Step 2 of 5 The object is in equilibrium in y axis so we can write the firs condition of equilibrium on Y axis Step 3of 5 a) on a dry concrete the statics friction coefficient of dry concrete In x axis the object accelerate so we can write the Newton’s first law. The static friction is decelerating the object, The direction of the friction force is taken positive and the component is negative. Hence, the value of acceleration is .