A particle of mass m moving with velocity v collides elastically with a similar particle at rest. What is the velocity of second particle after collision?
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Mass of first particle is m
1
=m and its velocity before collision u
1
=v
Mass of second particle is m
2
=2m and its velocity before collision u
2
=0
Let the velocity of combined system just after collision be V.
Using conservation of linear momentum :
m
1
u
1
+m
2
u
2
=(m
1
+m
2
)V
∴ (m)(v)+(2m)(0)=(m+2m)V
⟹ V=
3
v
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