(20 points) The magnetic field in the Flint, MI area is about 50 µT pointed downward and to the north at about a 20° angle with respect to vertical. For the purposes of this problem, these values can be treated as exact. Consider an MD-80 airplane (wingspan 32.873 m) flying due east, coming in for a landing on runway 9 at Bishop Airport at 120 knots (61.7 m/s). (a) What is the electric potential difference across the wingtips? (You may assume level flight.) (b) You decide to connect a 10-Ω resistor across the wingtips. What is the magnitude and direction of the current through the wire? (c) What is the magnitude and direction of the magnetic force on the wire (you may assume the wire is the same length as the wingspan). For all parts, justify your reasoning.