1. Helical motion of a charged particle A proton (mass m, charge +19) moves in a uniform magnetic eld l3 2 Bole At t = 0, the proton's velocity is {5(0) = til-[ii + 12903 + 12301;. Bu, 1.11;],iiyn,'::zc are all positive. The proton subsequently moves along a helical path. Ignore any forces on the proton other than the magnetic force. (a) 1lit-"hat is the magnetic force on the proton at i'. = I}? (b) Does the proton circulate clockwise or (tomiterclockwise if looking down in the +2 direction along the magnetic field (so it is into the page)?I Explain. (c) What is the radius of the helix? (d) 'What is the pitch of the helix? (The pitch is the distance moved along the magnetic eld direction during one revolution of the proton.)