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At the Fermilab accelerator in Batavia, Illinois, protons having momentum 2.67 x 10-16 kg . m/s are held us a circular orbit of radius 1 km by an upward magnetic field. What is the magnitude of this field? Answer in units of T. 6) A proton traveling to the right along the x-axis enters a region where there is a mag- netic field of magnitude 2.0 T directed upward along the y-axis. The charge on a proton is 1.60x10-19. If the proton experiences a force of 4.6 x 10-12 N, find its speed. Answer in units of m/s. 8) A duck flying due east passes over At- lanta, where the magnetic field of the Earth is 5.2 x 10 5 T directed north. The duck has a positive charge of 4.0 x 10- C. If the magnetic force acting on the duck is 5.60 x 10-11 N upward, what is the magnitude of the duck's velocity? Answer in units of m/s. 15) A rectangular loop consists of 233 closely wrapped turns of wire and has dimensions 0.79 m by 0.5 m. The loop is hinged along the y-axis, and its plane makes an angle of 43' with the x-axis. A uniform magnetic field of 0.34 T is di- rected along the x-axis and the current in the loop is 9.4 A in the direction shown. What is the magnitude of the torque ex- erted on the loop? Answer in units of N . m. 18) A solenoid 91.6 cm long has 660 turns and a radius of 2.65 cm. If it carries a current of 3.91 A, find the magnetic field along the axis at its center. Answer in units of T