Answer to Question #135630 in General Chemistry for Yaaseen Andor

Question #135630

An electron is released from rest in a uniform electric field. The electron accelerates vertically upward, travelling 4.5 m in the first 3.00 µs after it is released. What are the magnitude and direction of the electric field?

Note: Show your free body diagram (FBD) and solutions accurately, systematically and orderly with the standard unit, and express it into prefix word if possible.



1
Expert's answer
2020-09-29T06:59:25-0400

using equations of motion

S=ut+12at2S=ut+\frac12at^2

4.5=0+0.5×a×(3×106)24.5=0.5×9×1012×aa=1012m/s24.5=0+0.5\times a \times(3\times10^{-6})^2\\4.5=0.5\times9\times10^{-12}\times a\\a=10^{12} m/s^2


a=eE/m1012=1.6×1019×E9.1×1031a=eE/m \\10^{12}=\frac{1.6\times10^{-19}\times E}{9.1\times10^{-31}}


E=5.7V/mE=5.7 V/m


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