Problem 6: Part of riding a bicycle involves leaning at the correct angle when making a turn; the rst figure in the image carousel shows a rider leaning the bicycle at an angle 6 from the vertical. To be stable, the net force exerted by the ground where it contacts the tire must be on a line passing through the center of gravity. The forces have been summarized with a freebody diagram, as seen in the second gure in the image carousel. The ground exerts a normal force which is equal in magnitude to the combined weight of the bicycle and the rider. The ground additionally exerts a force due to static friction which is parallel to the ground, causing the bicycle to move in a circle. Enter an equation for the tangent of the angle between the bicycle and the vertical in terms of the speed of the bicycle, v, the radius of curvature of the turn, r, and the acceleration due to gravity, g. Expression tan 6 : Select from the variables below to write your expression. Note that all variables may not be required. m&mgELkmmn&v Problem 7: A banked highway is designed for traffic moving at v = 87 km/h. The radius of the curve r = 347 m. Part (:1) Write an equation for the tangent of the highway's angle ofbanking. Give your equation in terms of the radius of curvature r, the intended speed of the turn 12, and the acceleration due to gravity g. Expression tan(6) : Select from the variables below to write your expression. Note that all variables may not be required. mmgmlknmnv Part (b) What is the angle ofbanking of the highway? Give your answer in degrees. Numeric : A numeric value is expected and not an expression. 6