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Well, that's not what I asked you to do. I asked you to assign distinct variables to each item and not to plug in any numbers. Never mind, let's press on.Formula for momentum is p=mv (m=mass, v= velocity)

p=momentum

Conservation of momentum of law states that total p before reaction = total p after reaction

p before = 0 N (newtons)

p after = (Helium 4 = 1.90306 x 10^{-20}N) + ( momentum of neutron)

Since "total p before must equal total p after ", the momentum of the neutron must be: (-)1.90306 x 10^{-20}N.

If we add the momentum of He4 and of the Neutron after the reaction we get:

(1.90306 x 10^{-20}N) + (- 1.90306 x 10^{-20}N)

= 0

Therefore the laws of conservation of momentum are obeyed.

I manipulated the formula p=mv to solve for velocity, the resulting formula is v=(p/m)

So the velocity of the neutron should be

v=(p/m)

v=(- 1.90306 x 10^{-20}N )/ (1.67493 x 10^{-27}kg)

v= 1.14x10^{7}m/s

I cant get latex to work on my pc for some reason. Any help would be appreciated at this point. The next part of the question asks to find the mass of the helium 5 nucleus and I am puzzled on that one.

Thanks.

Next we need the total KE of He4 and the neutron. I hope you realise that this is not necessarily just a matter of applying mv

^{2}/2. If the speeds are approaching the speed of light then we need to use relativistic equations. So, looking at the speeds you have, do you need to do that here?