How to Calculate the Initial energy of two protons colliding

[msPhysics]

Homework Statement

Tow protons of equal energy collide head on and the result is

p+p -----> p+p+ Pi⁰

If all particles produced at rest what must be the KE of the initial protons

Homework Equations

mass of Pi⁰ = 135MeV/c²

The Attempt at a Solution

Total energy of the system, E= mc²

Mass of proton = 1.6726 *10^-27 Kg

Hence initial energy = 2* 1.6726*10^-27*2.99*10⁸*2.99*10⁸

But in this case why do I need the mass of Pi 0...I guess I am terribly worng pls help

 

[vela]

The initial energy isn't just the sum of the rest energies because the protons are moving.

What about after the collision?

Hint: Use the 938 MeV/c² for the mass of the proton. It'll make the calculations simpler — no unit conversions needed.

 

[msPhysics]

The initial energy isn't just the sum of the rest energies because the protons are moving.

What about after the collision?

Hint: Use the 938 MeV/c² for the mass of the proton. It'll make the calculations simpler — no unit conversions needed.

I didnt get you...could you may be explain a bit more

 

[vela]

The total energy of a particle is equal to E=mc²+K, where K is the kinetic energy and m is the rest mass.