Please show work. An electron is placed between the plates of a charged capacito

Question

Please show work.

An electron is placed between the plates of a charged capacitor next to the negative plate, and then released. The potential difference between the two plates is 100 volts. What is the speed (in m/s) of the electron when it reaches the positive plate?

7. An electron is placed between the plates of a charged capacitor, next to the negative plate, and then released. The potential difference between the two plates is 100 volts. What is the speed (in m/s) of the electron when it reaches the positive plate? (a) 4.5 x 103 (b) 3.2x 104 (c) 5.9 x 106 (d) 5.1 x 105 (e) None of these

Explanation / Answer

V = 100 volts

mass of the electron m = 9.1 X 10-31 Kg

q = 1.6 X 10-19 C

using equations KE = q X V

and KE = 0.5 X m X v2  

q X V = 0.5 X 9.1 X 10-31 X v2

v2 = q X V / 0.5 X 9.1 X 10-31

v2 = 1.6 X 10-19 X 100 / 0.5 X 9.1 X 10-31   

v2 = 3.5164 X 1013

v = 5.9299 X 106 m/s

the speed (in m/s) of the electron when it reaches the positive plate is v = 5.9299 X 106 m/s

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