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An electron with an initial velocity v0 = 1.50×105 m/s enters a region 1.0 cm long...

An electron with an initial velocity v0 = 1.50×105 m/s enters a region 1.0 cm long where it is electrically accelerated (see the figure). It emerges with velocity v = 4.50×106 m/s. What was its acceleration, assumed constant?

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Answer #1

This problem is a very easy one. You need just one equation:

(final velocity)^2 = (initial velocity)^2 + 2 * acceleration * (distance during which acceleration occurred)

also known as Vf^2 = Vi^2 +2ad

Further,

(4.5E6 m/s)^2 = (1.5E5 m/s)^2 + 2*a*(0.01m)
2.03E13 = 2.25E10 + 0.02a
a = 1.011E15 m/s^2

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