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30. From the slope of the graph, we find the spring constant
k
F
x
==
=
Δ
Δ
010
10
..
Ncm
Nm
(a) Equating the potential energy of the compressed spring to the kinetic energy of the
cork at the moment of release, we have
1
2
1
2
22
kx
mv
v
x
k
m
=
¡
=
which yields
v
= 2.8 m/s for
m
= 0.0038 kg and

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