Question

A charged particle of mass m = 4.0 x 10- kg, initially moving with constant velocity in the y-direction, enters a region containing a constant magnetic field B = 4.0 T aliged with the positive z-axis as shown below. The particle enters the region at (x, y) = (d, 0) and leaves the region at (r,y)= (0, d), d = 0.5 m at a time t 600 is after it entered the region. d Figure 1 (a) With what speed v did the particle enter the region containing the magnetic field? (3pt) (b) What are the x- and y-components of the force on the particle at a time t = 314.0 us after it entered the region with the magnetic field? (Be careful with radians vs degrees here.) (8pt) (c) What is q, the charge of the particle? Be sure to include the correct sign. (4pt) (d) If the charge sign of the particle is reversed, at which point along the x-axis will it emerge from he magnetic field? (3pt) (e) If the velocity of the incident particle were doubled, how would B have to change (keeping all other parameters constant) to keep the trajectory (meaning the value of d) of the particle the same? (2pt)

Answer 1

4x1- T distance (a im e a cirrcle = 2uanter Hore irtance 2t レー |3 08.9 m/s レ2 de vt Hoare, o.S F-o o 933N musiio CC7

Cd7 mv - 2.1701 э6-17 с Re ver sed twlu exit at feint dutlh rame dinetim fer ent then / v s doubled olsa doubled