Discharged electrodes and charges: electric slingshot

AI Thread Summary
The discussion centers on a proposed electric slingshot satellite launcher designed to save rocket fuel. The launcher features four electrodes arranged in a square, with a significant charge difference between the electrodes and the satellite. Participants are exploring whether the voltage potential generated is sufficient to propel a 100 kg satellite beyond Earth's atmosphere, which is approximately 10 km high. Suggestions include treating the electrodes as line charges for easier calculations. The feasibility of the design hinges on overcoming Earth's gravitational pull with the energy provided by the discharge of the electrodes.
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Homework Statement


working on feasability of a new satellite launcher that will save rocket fue. the design of the launcher is an electric slingshot. the launcher consists of 4 electrodes arranged in a horizontal square with sides 5 m long. the square of electrodes is mounted so that the center square is 15 m directly above the satellite that is to be launched. a power supply placers +32 C of charge on each electrode and -128 C of charge on the satellite. when the satellite is released, it launches straight up and passes through the center of the square. just as the satellite is passing through the square, the electrodes are discharged. the satellite then continues to move upward under only the influence of gravity. is this launcher sufficient to launch a 100 kg satellite above Earth's atmosphere? the height of the atmosphere is about 10 km.


Homework Equations



please c attached


The Attempt at a Solution



please c attached
 

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The way I interpret the problem statement, the electrodes are thin rods. Put four of these electrodes together (arranged horizontally) and you end up with a horizontal square.

In your attachment, you have each of the electrodes being a square, such that when all brought together they form a cube. I think the problem might be a little easier if you treat the electrodes as line charges forming a square (instead of a cube).
 
i reworked it, per your suggestion, and am getting stuck with trying to see if the voltage potential difference offers enough energy to get the rocket over the giant pull of the Earth's gravity. please c attached. thanks very much for your help. i really appreciate it.
 

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