A block c of mass m is moving with velocity v and collides elastically with block a of mass m and connected to another block b of mass 2m through a spring of spring constant k. What is k if x is the compression of spring when velocity of a and b is same?
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Explanation:
After collision V
c
=0
By momentom conservation,
mv
0
=(m+2m)u
u=
3
1
v
0
Applying energy conservatioln,
2
1
mv
0
2
=
2
1
(m+2m)u
2
+
2
1
kx
0
2
2
1
(mv
0
2
−
3
mv
0
2
)=
2
1
kx
0
2
k=
3x
0
2
2mv
0
2
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