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## Homework Statement

Find the speed an alpha particle requires to

come within 3.4 × 10−14 m of a gold nucleus.

Coulomb’s constant is 8.99 × 109 N · m2/C2,

the charge on an electron is 1.6 × 10−19 C,

and the mass of the alpha particle is

6.64 × 10−27 kg. Answer in units of m/s.

## Homework Equations

F=ma=mv^2/r=k x q1xq2/r^2

## The Attempt at a Solution

v=sqrt(8.99x10^9 x (2x79x(1.6x10^-19)^2))/(6.64x10^-27x3.4x10^-14))

I get 1.269e7, which seems like the correct answer, but my homework server is not accepting it. Anything that yall may see that is a small error would be greatly appreciated. The only thing that I am wondering about this is that the a=mv^2/r, the r is not the same as the r^2 in the other part of the equation? I am not really sure, but if someone could fill me in, I would love it! Thanks