Solve "Challenging Question" Homework on Electron at Parallel Plates

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AI Thread Summary
An electron is fired at a speed of 5.0 x 10^6 m/s and an angle of -44° between two parallel plates separated by 3.7 mm, with a voltage difference of 100 V. The conservation of energy approach was initially considered to find how close the electron gets to the bottom plate, leading to a calculated distance of 0.001269 m. The electric field strength was determined to be 27027.2 N/C, but the user expressed confusion about the forces acting on the electron and whether their method was correct. After some reflection, the user indicated they might have found a solution but did not confirm the accuracy of their calculations. The discussion highlights the complexities of applying conservation of energy and forces in this context.
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Homework Statement



An electron is fired at a speed vo = 5.0 106 m/s and at an angle o = -44° between two parallel conducting plates that are D = 3.7 mm apart, as in Figure P16.66. The voltage difference between the plates is V = 100 V.

(a) Determine how close, d, the electron will get to the bottom plate.

Homework Equations



Conservation of energy:
(1/2)mv^2 = -qEd
E=V/D

The Attempt at a Solution



I was thinking conservation of energy because the electron is initially moving and when it reaches max, it stops and KE is converted to PE.
(1/2)(9.109e-31)[(5e6)sin(44)]^2 = (-1.602e-19)(27027.02)(d)
d = 0.001269 m

E = (100/0.0037) = 27027.2 N/C

Anyone knows what is wrong?
 

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I would probably tackle it with forces so that the vectors remain intact. You never said what the question was asking for.
 
sry forgot the question. I edited the post. I was thinking of using projectile motion to solve this question, but I can't solve for the force that moves the electron towards the positive plate.
I know F = qE

edit: omg I just told myself how to solve this. Nevermind, I think I know how to do this. :]
 
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is that the correct method? i tried using it and got an incorrect answer
 
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