A conducting rod oriented horizontally along an east-west axis has a length 2.4 meters and is dropped from some height. As it falls, it reaches a downward velocity of 35 m/s at a given instant. The rod falls through a uniform magnetic field generated by the Earth of 57 µT directed 38 degrees vertically downward from true horizontal North. a) Determine the magnitude of the EMF induced between the ends of the rod. b) Which end of the rod is positive, east or west? Draw a diagram to help justify your answer. c) If a current were to flow through this rod in response to the voltage difference, in what direction would the magnetic force on the rod point? (If it is not possible to answer all three sections, please try to answer at least the first two. Thanks!)

A conducting rod oriented horizontally along an east-west axis has a length 2.4 meters and is dropped from some height. As it falls, it reaches a downward velocity of 35 m/s at a given instant. The rod falls through a uniform magnetic field generated by the Earth of 57 µT directed 38 degrees vertically downward from true horizontal North. a) Determine the magnitude of the EMF induced between the ends of the rod. b) Which end of the rod is positive, east or west? Draw a diagram to help justify your answer. c) If a current were to flow through this rod in response to the voltage difference, in what direction would the magnetic force on the rod point? (If it is not possible to answer all three sections, please try to answer at least the first two. Thanks!)