# Modern Physics Question

1. Jan 29, 2005

### mike217

Hello Everyone,

Can you please help me with this problem. I am not looking for a complete solution to it, I just need a few guidelines on how to proceed. Here it is,

Let us consider a perfectly inelastic collision between two protons: an incident proton with mass m, kinetic energy K, and momentum magnitude p joins with an originally stationary target proton to form a single product particle of mass M. Show that the energy available to create a product particle is given by,

Mc^2=2mc^2(1+K/(2mc^2))^1/2

Thank you.

2. Jan 29, 2005

### dextercioby

The total energy of the incoming protons is obviously
$$E=2mc^{2}+K=2mc^{2}(1+\frac{K}{2mc^{2}})$$

I don't know what your formula means...

Daniel.