Question

An electron with speed 230×10⁷m/s is traveling parallel to a uniform electric field of magnitude How far will the electron travel before it stops? 1.20×10⁴

N/C Part B How much tine will elapse before it returns to its starting point?

Answer 1

The electron will travel approximately 11.96 meters before it stops. It will take approximately 1.04x10^-8 seconds for the electron to return to its starting point.

Step-by-step explanation:

To determine how far the electron will travel before it stops, we need to use the equation:

v^2 = u^2 + 2as

where v is the final velocity (which will be zero when the electron stops), u is the initial velocity, a is the acceleration (which is determined by the electric field), and s is the distance traveled. Rearranging the equation, we get:

s = (v^2 - u^2) / (2a)

Substituting the given values:

s = (0 - (230x10^7)^2) / (2x1.20x10^4)

s ≈ 11.96 meters

To determine the time it takes for the electron to return to its starting point, we can use the equation:

t = 2s / u

Substituting the values:

t = 2x11.96 / (230x10^7)

t ≈ 1.04x10^-8 seconds