Electric force-finding coordinate

AI Thread Summary
The discussion focuses on a physics problem involving an electron moving along the negative x-axis and entering a constant electric field of E = 610j N/C. The task is to determine the y-coordinate of the electron when its x-coordinate is 92.3 cm. Participants suggest visualizing the scenario with a coordinate system and drawing the trajectory of the electron, likening the electric field's effect to gravity. The problem emphasizes that the mass of the electron can be ignored, and the forces acting on it are purely electrostatic. Understanding the relationship between initial velocity and electric force is key to solving the problem.
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Homework Statement


The y-axis marks the boundary between the area where the is no electric field (in the second and third quadrant) and the area where there is a constant electric field: E = 610j N/C (in the first and fourth quadrant).

An electron travels along the negative x-axis toward the origin at vo = 7.04i Mm/s, and then it enters the electric field.and changes direction. Find the y-coordinate of the electron, in cm, when its x-coordinate is 92.3 cm.

Homework Equations


following two formulas may be useful I do not know[/B]
E=kq/r^2
F=qE
I suppose to use a formula that relate with value v0 I guess.

The Attempt at a Solution


Anyone can help me figure it out. thank you. I do not have any idea of it.
 
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psysicsfeet said:

Homework Statement


The y-axis marks the boundary between the area where the is no electric field (in the second and third quadrant) and the area where there is a constant electric field: E = 610j N/C (in the first and fourth quadrant).

An electron travels along the negative x-axis toward the origin at vo = 7.04i Mm/s, and then it enters the electric field.and changes direction. Find the y-coordinate of the electron, in cm, when its x-coordinate is 92.3 cm.

Homework Equations


following two formulas may be useful I do not know[/B]
E=kq/r^2
F=qE
I suppose to use a formula that relate with value v0 I guess.

The Attempt at a Solution


Anyone can help me figure it out. thank you. I do not have any idea of it.
First make a drawing: A coordinate system, and indicate the region with E=0 and E = 610j. Show the electron traveling along the negative x-axis towards the origin with velocity v0 = 7.04i Mm/s.
What force acts on the electron when it is in the electric field?
deflection.JPG
 
This is exactly analogous to a projectile fired with a horizontal initial velocity v0, with the E field, like gravity, acting in the -j direction (no air resistance assumed, as usual). The E field is equivalent to gravity.

BTW in this problem, mass of the electron is ignored. The force is electrostatic only.
 
rude man said:
BTW in this problem, mass of the electron is ignored. The force is electrostatic only.
I think you meant that gravity is ignored.
 
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