NASA's Deep Space 1 and Dawn spacecraft employed ion thrusters in which xenon ions with a...
NASA's Deep Space 1 and Dawn spacecraft employed ion thrusters in which xenon ions with a charge of +1.60×10−19C and a mass of 2.18×10−25kg are accelerated through a potential difference of 1460 V.
What is the speed of the xenon ions as they exit the thruster?
Homework Answers
Work done by an electric field on charge q when moved by
potential difference 
is
Assuming the Xenon ions are initially at rest, their initial kinetic energy is zero
Let v be the final speed of the ions, the kinetic energy of an ion when exiting the thruster is
By Work-Energy theorem, the net work done on a particle is equal to the change in kinetic energy of the particle
Substituting given values
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