Acar of mass m is going around a circular turn of radius r, which is banked at an angle β with respect to the ground. assume there is friction between the wheels and the road. let μs be the coefficient of static friction and g the magnitude of the gravitational acceleration. you may neglect kinetic friction (that is, the car’s tires do not slip). derive an expression for the range of possible speeds vmin ≤ v ≤ vmax necessary to keep the car moving in a circle without slipping up or down the embanked turn. express your answer in terms of some or all of the following: μs, β, m, r and g.