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Please thoroughly explain each step, and how you got the answer. Thanks! Problem

ID: 1874141 • Letter: P

Question

Please thoroughly explain each step, and how you got the answer. Thanks!

Problem 3 (10 points) An electron is a subatomic particle (m-9x10 kg) that is subjected to electric forces. An electron moving in the accelerates from an initial velocity 5.56x10 m's to a final velocity 2.07x10 m's while traveling a distance o acceleration is due to two electric forces parallel to the x axis: F-787x1017 N and F2 wh magnitude of the net force Fnet acting on the electron AND the electric force F. 0.037 m. The electron's hich points in the -x direction. Find the

Explanation / Answer

mass m = 9.11 x 10^-31 kg

initial velocity u = +5.56 x 10^5 m/s

final velocity v = +2.07 x 10^6 m/s

distance S = 0.037m

The electron's acceleration is due to two electricforces parallel to the x axis: F1 = +7.87 x 10-17 N

F2   = ?

a = [ v^2 - u^2 ] / 2S

a = [(2.07 x 10^6)^2 - (5.56 x 10^5)^2] / (2 x 0.037)

a = 5.790 x 10^13 m/s^2

a)

the net force acting on the electron,

F = ma

F = 9.11 x 10^-31 kg x 5.79 x 10^13 m/s^2

F = 5.275 x 10^17 N

(b)

the electric force,

F2 = F1 - F

F2 = (7.87 x 10^17 N) - (5.275 x 12.07 x 10^17 N)

F2 = 2.595 x 10^17 N