Rutherford and nuclear transmutation

[Synxervious]

Hi guys, got another problem here. This one's about nuclear transmutation; Would really appreciate help!

Homework Statement

Consider the reaction

a + 14N7 -> 17O8 + X.

a) Identify X.

b) The following data are available:

Rest mass of a: 3.7428 GeV c^-2
Rest mass of 14N7: 13.0942 GeV c^-2
Rest mass of 17O8 + X = 16.8383 GeV c^-2

Initial KE of the alpha particle is 7.68 MeV

Homework Equations

1/2mv^2.

The Attempt at a Solution

I think I'm supposed to convert rest mass to kilograms, but I don't quite know how. The above data multiplied by the speed of light squared?

If I know that, I think the rest of the problem should be pretty straightforward.

 

[daveb]

Do they want you to identify the energy of the emitted X or just the identity of the emitted X? If the latter, just total the protons and neutrons on each side. It might help to write it as ²₂α + ¹⁴₇N -> ¹⁷₈O + X