An electron and a proton are held on an x axis, with the electron at x = + 1.000 m and the proton at x = - 1.000 m. part a how much work is required to bring an additional electron from infinity to the origin? express your answer with the appropriate units. part b if, instead of the second electron coming in from infinity, it is initially at x = + 20.00 m on the axis and is given an initial velocity of 100.0 m/s toward the origin, does it reach the origin? part c how close to the origin does it come?

PART A)

Electrostatic potential at the position of origin is given by

here we have

now we have

Now work done to move another charge from infinite to origin is given by

here we will have

so there is no work required to move an electron from infinite to origin

PART B)

Initial potential energy of electron

Now we know

now by energy conservation we will have

So here initial total energy is sufficient high to reach the origin

PART C)

It will reach the origin

causes

fossil fuels burn

cities become more industrialized

human population grows worldwide