Relation between cross section, scattering angle and KE?

[says]

I'm trying to figure our the relation between cross section, scattering angle and KE?

I'm doing a few exercises where I've been given kientic energy and scattering angle and have to calculate the cross section. Cross section is in units of Barns (m²), and KE is 1/2 kg*m²*s^-2, but I can't seem to derive an equation. Any help would be much appreciated.

 

[DuckAmuck]

What is the set up? Are you shooting particles at a spherical target?

 

[says]

Yes. Shooting alpha particles at a gold atom. It's Rutherford Scattering.

 

[jtbell]

There must be thousands of web pages with formulas for the Rutherford scattering cross section, and derivations of them, if it's not in your textbook:

https://www.google.com/search?q=rutherford+scattering+cross+section

Are you having trouble trying to apply some version of those formulas? If so, I suggest you choose one, make an attempt at the solution to one of your exercises, and then post in one of our homework forums for help.