Electric Field Calculation for Moving Electron
The direction of the electric field is opposite to the initial velocity of the electron, which means it is in the negative x direction. To calculate the distance the electron travels before coming to rest, we can use the equation d = -V02 / (2a). And to find the time it takes for the electron to come to rest, we can use the equation t = -V0 / a.
Explanation:
(a) The direction of the electric field is opposite to the initial velocity of the electron. Since the electron has an initial velocity in the positive x direction, the electric field must be in the negative x direction.
(b) To find the distance the electron travels before coming to rest, we can use the equation: V2 = V02 + 2ad where V is the final velocity (which is 0), V0 is the initial velocity, a is the acceleration, and d is the distance. Rearranging the equation, we get: d = -V02 / (2a). Substituting the given values, we have: d = - (5.00 x 106)2 / (2 x 2.00 x 105).
(c) To find the time it takes for the electron to come to rest, we can use the equation: V = V0 + at where V is the final velocity (which is 0), V0 is the initial velocity, a is the acceleration, and t is the time. Rearranging the equation, we get: t = -V0 / a. Substituting the given values, we have: t = - (5.00 x 106) / 2.00 x 105.
(d) When the electron returns to its starting point, it will have the same velocity as its initial velocity. Therefore, the velocity when it returns to its starting point is 5.00 x 106 m/s.