1. Figure 1 displays a plane perpendicular to the uniform magnetic field B of known magnitude B, where students decided to play a strange game of pool. They need to "launch" a positively charged ball (given charge q and mass m) to hit an uncharged target ball T at rest, which is distance d away, so that the target would then start moving at angle 60 from the direction to the target, as sketched in the figure. What should be launch angle a and launch speed v to accomplish that? The balls are small to be considered point-like particles. No friction and other forces are involved in this problem. q = ? V = ? 60 T * B Figure 1: Illustration for problem 1.