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54. Conservation of energy gives
Q
=
K
α
+
K
n
, and conservation of linear momentum (due to the assumption
of negligible initial velocities) gives

p
α

=

p
n

. We can write the classical formula for kinetic energy in
terms of momentum:
K
=
1
2
mv
2
=
p
2
2
m
which implies that
K
n
=(
m
α
/m
n
)
K
α
. Consequently, conservation of energy and momentum allows us
to solve for kinetic energy of the alpha particle which results from the fusion:
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