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39. The charge on the metal plate, which is negative, exerts a force of repulsion on the
electron and stops it. First find an expression for the acceleration of the electron, then use
kinematics to find the stopping distance. We take the initial direction of motion of the
electron to be positive. Then, the electric field is given by
E
=
σ
/
ε
0
, where
is the surface
charge density on the plate. The force on the electron is
F = –eE = –e
/
ε
0
and the
acceleration is
0
Fe
a
mm
ε
==
−
where
m
is the mass of the electron. The force is constant, so we use constant acceleration
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 Fall '10
 AD
 Charge, Acceleration, Force

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