F = Vq/d = (1600 x 1.6 x 10^-19) / 0.015 = 1.71 x 10^-14 N
a = force / mass = 1.71 x 10^-14 / 9.1 x 10^-31 = 1.88 x 10^16 ms^-2
s = ut + 0.5 at^2
0.015 = 0 + 0.5 (1.88 x 10^16) (t^2)
t^2 = 1.596 x 10^-18
t = 1.26 x 10^-9 s
For the electron in question 2 calculate:
a the work done by the field on
the electron,
b the gain in kinetic energy,
c the speed of the electron.
Solution:
a) work
done = Fd = Eqd = Vq
W = 1.71 x 10^-14 x 0.015 = 2.565 x 10^-16 J
b) kinetic
energy = Vq = 1600 x 1.6 x 10^-19 = 2.56 x 10^-16 J
c) v^2 = u^2 + 2as = 2 (1.88 x 10^16)(0.015) = 5.64 x 10^14
v = 2.37 x 10^7 ms^-1