Answer to Question #126486 in Physics for Tshego

Question #126486

What are the magnitude and direct of the acceleration of an electron at a point where the electric field has magnitude 7200N/C

1
Expert's answer
2020-07-17T08:40:57-0400

If the electric field has magnitude E=7200N/CE = 7200N/C , then the force acting on the electron at that point will be:


F=eEF = eE

where e=1.6×1019Ce = -1.6\times 10^{-19}C is the electron charge.

According to the Newton's second law, the acceleration of the electron will be:


a=Fm=eEma = \dfrac{F}{m} = \dfrac{eE}{m}

where m=9.1×1031kgm = 9.1\times 10^{-31} kg is the mass of electron.

Substituting numerical values, obtain:


a=eEm=1.6×101972009.1×10311.27×1015m/s2a = \dfrac{eE}{m} = \dfrac{-1.6\times10^{-19}\cdot 7200}{9.1\times10^{-31}} \approx -1.27\times 10^{15}m/s^2

Sign minus reflects the fact, that the acceleration and electric field directed to the opposite sides.

Answer. -1.27*10^15 m/s^2, opposite to the electric field.


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