Problem 2: A car of mass m = 1030 kg is traveling down a ̘ = 15 degree incline. When the car's speed is v₀ = 11 m/s, a mechanical failure causes all four of its brakes to lock. The coefficient of kinetic friction between the tires and road is ̘ₖ = 0.45.
Part (a) Write an expression for the magnitude of the force of kinetic friction, fₖ.
Part (b) Write an expression for the magnitude of the change in the car's height, h, along the y-direction, assuming it travels a distance L down the incline.
Part (c) Calculate the distance the car travels down the hill L in meters until it comes to a stop at the end.