Discharged electrodes and charges: electric slingshot

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SUMMARY

The discussion focuses on the feasibility of an electric slingshot satellite launcher utilizing four electrodes arranged in a horizontal square, each charged with +32 C, while the satellite carries a charge of -128 C. The design aims to launch a 100 kg satellite to a height of 10 km above Earth's atmosphere. Participants suggest treating the electrodes as line charges rather than square charges to simplify calculations related to voltage potential difference and gravitational forces. The main challenge is determining if the energy provided by the discharge of the electrodes is sufficient to overcome Earth's gravitational pull.

PREREQUISITES
  • Understanding of electrostatics, specifically charge interactions
  • Knowledge of gravitational forces and their impact on projectile motion
  • Familiarity with voltage potential difference calculations
  • Basic principles of satellite dynamics and launch mechanics
NEXT STEPS
  • Research electrostatic potential energy calculations for charged objects
  • Learn about gravitational force equations and their application in satellite launches
  • Explore the concept of line charges and their effects on electric fields
  • Investigate energy requirements for launching satellites beyond Earth's atmosphere
USEFUL FOR

Engineers, physicists, and aerospace professionals involved in satellite design and launch systems, as well as students studying electrostatics and gravitational physics.

thermocleanse
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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
 

Attachments

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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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