A proton moves at 4.50 x 105 m/s in the horizontal direction. It enters a uniform vertical electric field with a magnitude of 9.60 x 103 N/C. Ignoring any gravitational effects, find (a) the time interval required for the proton to travel 5.00 cm horizontally, (b) its vertical displacement during the time interval in which it travels 5.00 cm horizontally, and (c) the horizontal and vertical components of its velocity after it has traveled 5.00 cm horizontally.

An electron is accelerated by a constant electric field of magnitude 285 N/C. (a)Find the acceleration of the electron.   (b)Use the equations of motion with constant acceleration to find the electron's speed after 1.10  10-8 s, assuming it starts from rest.

A proton moves at 3.80 105 m/s in the horizontal direction. It enters a uniform vertical electric field with a magnitude of 9.40 103 N/C. Ignore any gravitational effects.  (a) Find the time interval required for the proton to travel 4.00 cm horizontally. (b) Find its vertical displacement during the time interval in which it travels 4.00 cm horizontally. (Indicate direction with the sign of your answer.) (c) Find the horizontal and vertical components of its velocity after it has traveled 4.00 cm horizontally.

A 1.86  10-9 C charge has coordinates x = 0, y = −2.00; a 3.21  10-9 C charge has coordinates x = 3.00, y = 0; and a -5.20  10-9 C charge has coordinates x = 3.00, y = 4.00, where all distances are in cm. Determine magnitude and direction for the electric field at the origin and the instantaneous acceleration of a proton placed at the origin. (a) Determine the magnitude and direction for the electric field at the origin (measure the angle counterclockwise from the positive x-axis). magnitude   direction  ° (b) Determine the magnitude and direction for the instantaneous acceleration of a proton placed at the origin (measure the angle counterclockwise from the positive x-axis). magnitude   direction  °