- #1
Magma828
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Homework Statement
A nuclear fusion reaction occurs when a deuterium nucleus, mass 2m, and a tritium nucleus, mass 3m, combine (each with velocity v in opposite directions). Most of the energy released in the fusion is carried away in the kinetic energy of the product neutron, mass m, and velocity 5v. The other product is a helium nucleus, mass 4m, and velocity v.
(a) Show in terms of m and v that momentum is conserved in the process.
I've done this part, I don't need help with it. I'm just posting it incase it's a sub-step for the next part. The answer is -mv=-mv
(b) Calculate the kinetic energy released in the fusion in terms of m and v.
I'm stuck with part b. For part a I had to use all the data in the question, I'm guessing that for part b I only have to use the masses and velocities before the collision.
Homework Equations
Ek = 0.5mv2
The Attempt at a Solution
This is what I've done so far:
Ek = 0.5mv2
v1 = 1v
m1 = 2m
v2 = 1v
m2 = 3m
Ek1 = 0.5m1v12
Ek1 = 0.5x2m1v2
Ek1 = mv2
Ek2 = 0.5m2v22
Ek1 = 0.5x3m1v2
Ek1 = 1.5mv2
EkT = Ek1+Ek2
EkT = (mv2)+(1.5mv2)
But the answer in the book is EkT = 12mv2...
I think I may have messed up in the algebra, or maybe I need to use the data after the collision too.