An electron initially 3.00 m from a nonconducting infinite sheet of uniformly distributed charge is fired toward the sheet. the electron has an initial speed of 420 m/s and travels along a line perpendicular to the sheet. when the electron has traveled 2.00 m, its velocity is instantaneously zero, and it then reverses its direction. what is the surface charge density on the sheet?

Explanation:

= Permittivity of free space =

= Distance charge traveled = 2 m

v = Velocity of electron = 420 m/s

E = Electric field

= Mass of electron =

= Charge of electron =

As the energy of the system is conserved we have

For an infinite non conducting sheet electric field is given by

The surface charge density is

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