Problem 9 (Bubble chambers): A particle of mass m = 1kg, and charge q = 1 Couloumb, is placed in a magnetic field B = 1k Tesla and thus is

subjected to the effects of the Lorentz force.The force causes it to have an acceleration: à = q/m (v x b) where ỉ is the particle's velocity.m Assume that the motion of the particle remains in the x-y plane and neglect the gravity.If at t = 0 sec, the particle was at x = y = 0 m with an initial speed vo = 10 î m/s, find the equation of the path traced by the particle as it moves. Plot this path. If along with the Lorentz force, there was also a drag force acting on the particle that causes an additional acceleration à = -củ, where the coefficient c = 0.1 Ns/m, what do you think the path will look like, approximately? Give your reasoning. Once again assume at t = 0 sec, the particle was at x = y = 0 m with an initial speed vo = 10 î m/s.We don't want you to derive the equation of the path in this case, we just want you to reason what its shape will look like.