Motion in an electric field (reposted)

An electron at rest is subjected to an electric field of Intensity 5 N C 5 \frac{N}{C} for 2 2 seconds.

Find the distance traveled by the electron during this 2 2 second interval.

If the answer is of the form a . b c d × 1 0 e a.bcd \times 10^e , where a > 0 a>0 , then input answer as a + b + c + d + e a+b+c+d+e


The answer is 33.

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1 solution

Rohit Ner
Jun 2, 2015

For a point charge in an electric field, the force is given by F = q E m a = q E a = q E m s = 1 2 a t 2 s = E q t 2 2 m \large F=qE\\\large\Rightarrow ma=qE\\\large a=\frac{qE}{m}\\\large s=\frac{1}{2}at^{2}\\\large\Rightarrow s=\frac{Eqt^{2}}{2m} Substituting the values neccesary in the given equation, we obtain the distance travelled as 1.758 × 10 12 \huge\color{#3D99F6}{\boxed{1.758\times {10}^{12}}}

@Vaibhav Prasad , I feel that you should mention about the direction of the electric field in the question as well, although some people might not need to that. Thanks:)

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