a) This week the sun has emitted three coronal mass ejections that could have reached the Earth and caused aurora. Suppose that one did get caught in the Earth's magnetic field in a region where it could have caused aurora. What would be the shape of the trajectories traced by the charged particles? b) Suppose that an electron was moving eastward at a speed of 8 x 10% m/s in a region where the magnetic field was 7x 10- T directed downward toward the ground. What would the magnitude and the direction of the force on the electron? c) A solenoid with 350 windings of wire spread evenly over its 14 cm length carries a current of 4.0 A What is the strength of the magnetic field in its coil assuming there is no iron inside it