An electron, relased in a region where the electric field is uniform, is observed to have...
An electron, relased in a region where the electric field is uniform, is observed to have an acceleration of 7.0e14 m/s^2 in the positive x direction.
(A) Determine the electric field producing the acceleration.
I found this to be 3.99e3 N/C that it points towards -x.
(B) Assuming the electron is released from rest, determine the time required for it to reach a speed of 11,200 m/s, the escape speed from Earth's surface.
Homework Answers
given,
acceleration = 7.0 * 10^14 m/s^2
mass of electron = 9.11 * 10^-31 kg
force = mass * acceleration
also,
force = charge * electric field
so,
mass * acceleration = charge * electric field
9.11 * 10^-31 * 7.0 * 10^14 = 1.6 * 10^-19 * electric field
electric field = 3985.625 N/C
initial speed = 0 m/s
final speed = 11200 m/s
by first equation of motion
v = u + at
11200 = 0 + 7.0 * 10^14 * time
time = 1.6 * 10^-11sec
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