I have a rather simple question that I likely should know the answer to.
The question is:
Suppose we had an electrically charged spacecraft whose largest dimension is much smaller than the seperation between two charged plates at different potentials. Further suppose that the spacecraft is thrusted by another mechanism not related to coulombic repulsion and attrraction.
Would not the spacecraft experience the same kinetic energy gain component if placed in the potential between the plates as a result of the coulombic field effect mechanism regardless of whether or not any additional modes where operative unrelated to the coulombic mode?
My thinking is that the craft would still undergo the same electrostatic propulsion over the same distance regardless so that the Int F dot dx omponent would be the same in any such case. I presume that in cases where the spacecraft charge is held constant, the same results would accrue regardless of whether the spacecraft was traveling at relativistic velocities or not.
Thanks for your consideration.
JimmyJames
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