Special Relativity-particle physics

[SMG75]

Special Relativity--particle physics

Homework Statement

A top quark with mass Mtop=170 GeV/c^2 decays to a W boson with mass Mw=80 GeV/c^2 and a b quark with mass Mb=5 GeV.

a. Find the momentum and energy of each of the daughter particles if a top quark decays at rest.

b. What is the highest momentum W boson that can arise from the decay of a top quark that has energy Etop= 250 GeV.

Homework Equations

The Attempt at a Solution

I have no clue where to start with this one. I need some serious help. Any help guys?

 

[fzero]

You will need to use conservation of energy and momentum. Are you familiar with the relativistic expressions for energy? It is

$$E = \sqrt{(pc)^2 + (mc^2)^2}.$$