An electron is released from rest at a distance of 6.00 cm from a proton. if the proton is held in place, how fast will the electron be moving when it is 3.00 cm from the proton?

The speed of the electron is 91.86 m/s.

Explanation:

Given that,

Distance of electron from proton  = 6.00 cm

Distance of proton = 3.00 cm

We need to calculate the initial potential energy

Put the value into the formula

The final potential energy

We need to calculate the speed of the electron

Using conservation of energy

Put the value into the formula

Hence, The speed of the electron is 91.86 m/s.