A proton is traveling horizontally to the right at 4.00×106 m/s.(a) Find the magnitude and direction of the weakest electric fieldthat can bring the proton uniformly to rest over a distance of 1.67cm. (b) How 7 much time does it take the proton to stop afterentering the field?A −1.00-nC point charge is at the origin, and a+4.00-nC point charge is on the y-axis at y = 2.00 m. (a) Find theelectric field (magnitude and direction) at each of the followingpoints on the y-axis: (i) y = 3.00 m; (ii) y = 1.00 m; (iii) y =−2.00 m. (b) Find the net electric force that the two charges wouldexert on an electron placed at each point in part (a).