Electron released into electric field

AI Thread Summary
An electron released from rest in a uniform electric field accelerates upward, covering 4.50m in 3.00 microseconds. To find the electric field's magnitude, the acceleration can be calculated using kinematic equations, leading to an average speed of 1.5 million m/s and a final speed of 3 million m/s. The acceleration is determined to be approximately 1.98 x 10^11 m/s², which can then be related to the force acting on the electron. The discussion also touches on whether the effect of gravity can be ignored, with quantitative justification needed for that assumption. Overall, the calculations and concepts of kinematics and forces in electric fields are central to solving the problem.
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An electron is released from rest in a uniform electric field. The electron accelerates vertically upward, traveling 4.50m in the first 3.00us after released. What are the mag and direction of electric field and are we justified in ignoring the effect of gravity (justify quantitatively).

Im not sure where to start. Do I look for finding acceleration to use a=-eE/m to get the E? I just need a start.
 
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Yes. From kinematics, what's its average speed? what's its final speed?
What's its acceleration? What Force must act to provide that acceleration?
 
Ok so I may be grasping at straws but would I do this:
(using constant-acceleration formula)

v=4.5m/3X10^-6
v= 1.33x10^6m/s= (2a(4.50m))^1/2
a=1.98x10^11m/s^2

a=F/m
1.98x10^11m/s= F/9.11x10^-31kg

etc? Even close. Eventually my units don't work out so I am thinking this isn't the right track.
 
save the Kinetic Energy trweatment for next chapter...

v_average = 1.5E6 m/s , so v_final = 3E6 m/s , right?

(v_final)^2 = 2 a x ...

but a = v_final / t !
 
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I think I got it. THANKS!
 
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