PHYS10310 Final: University of Notre Dame PHYS 10310 PHYS_10310_Final_Exam_soln_F2007

A proton is projected in the positive x direction into a region ofuniform electric field E = -5.00 105 i N/C at t = 0. The protontravels 6.20 cm as it comes to rest.
(a) Determine the acceleration of the proton.
--Direction-- -i +i +j -j +k -k m/s2

(b) Determine the initial speed of the proton.
--Direction-- +i -i +j -j +k -k m/s

(c) Determine the time interval over which the proton comes torest.
s

The position of a particle moving on the XY plane is given by R=2.0cos(3.0rad s/t)i+2.0sin(3.0rad s/t)j, where r is in meters and t is in t seconds. A) Show that this represents circular motion of radius 2.0 m centered at the origin. B) Determine the speed? C) determine the magnitude of the acceleration? D) Show that a=v^2/r? E) Show that the acceleration vector always points toward the center of the circle? I cant seem to figure this one out. Please help?

A straight segment of a current-carrying wire has a current elementI L where I = 1.55 A and L = [ Lx i + Ly j + Lz k ], where i, j,and k are unit vectors pointing in the x, y, and z directions,respectively. The values for Lx, Ly, and Lz are 0.88 m, -0.93 m,and -0.45 m, respectively. The segment is in a region with auniform magnetic field given by B = [ Bx i + By j + Bz k ], wherethe components of B are ( 9.220E-1, 7.160E-1, and 5.430E-1) T,respectively. Find the components of the force on the segment ofwire, starting with Fx. Fy and Fz?