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An electron is a subatomic particle (m = 9.11 10-31 kg) that is subject to elect

ID: 1529645 • Letter: A

Question

An electron is a subatomic particle (m = 9.11 10-31 kg) that is subject to electric forces. An electron moving in the +x direction accelerates from an initial velocity of +4.96 105 m/s to a final velocity of +2.13 106 m/s while traveling a distance of 0.039 m. The electron's acceleration is due to two electric forces parallel to the x axis: vector F 1 = +6.82 10-17 N, and vector F 2, which points in the -x direction. Find the magnitudes of the net force acting on the electron and the electric force vector F 2.

Explanation / Answer

Vf^2=Vo^2+2a(xf-xo)

a= (2.13*10^6)^2-(4.96*10^5)^2/2*(0.039)

=1.382*10^12 m/s^2

Fnet=ma = (9.11 10-31)*(1.382*10^12)
Fnet = 1.259 *10-18 N

F2 = Fnet - F1
F2 = (9.11 10-31)*(1.382*10^12) - (6.82*10^-17)
F2= -6.69*10^-17 N

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