An electron gun sends electrons through a region with an electric field of 1.5 $\times$ 10⁴ N/C for a distance of 2.5 cm.If the electrons start from rest,how fast are they moving after traversing the gun? A) 1.1 $\times$ 10⁴ m/s B) 1.1 $\times$ 10⁷ m/s C) 2.3 $\times$ 10⁴ m/s D) 2.3 $\times$ 10⁷ m/s E) 2.6 $\times$ 10¹⁵ m/s

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Quizplus · Accepted Answer

The work done by the electric field is converted into kinetic energy. Using the formula $ qEd = \frac{1}{2}mv^2 $, where $ q $ is the charge of an electron, $ E $ is the electric field, $ d $ is the distance, and $ m $ is the mass of an electron, we can solve for $ v $. Substituting the known values gives a speed of approximately $ 1.1 \times 10^7 $ m/s.

An Electron Gun Sends Electrons Through a Region with an Electric