An electron of mass 9.1E-31 kg is released from rest at a distance of 3.5 E-10 m from a fixed electron. The force on the movable electron is given by the function F = 2.3E-28/r^2, where r is the distance between the electrons. Find the maximum velocity (in meters/second) of the moving electron after release.

I'm assuming i'm going to be deriving the function first, yes?

Question

An electron of mass 9.1E-31 kg is released from rest at a distance of 3.5 E-10 m from a fixed electron. The force on the movable electron is given by the function F = 2.3E-28/r^2, where r is the distance between the electrons. Find the maximum velocity (in meters/second) of the moving electron after release.

I'm assuming i'm going to be deriving the function first, yes?

irishboy123 · Answer

No. Integration. Am on mobile so no latex.

The free electron will go off to infinity converting all the potential energy of the system into kinetic energy.

You need to integrate to find the "work done" by the system on the electron = potential energy converted to kinetic.

W = integral of F dr from r = start r to infinity.