show that in one dimensional elastic collision of two bodies of equal masses the body is nearly exchange theri velocity after collusion
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Answer:
Let the body of mass m
1
moving with velocity u
1
moves with velocity v
2
after collision with the body of mass m
2
which was moving with velocity u
2
and which after collision attains a velocity v
2
.
∴v
1
m
1
+m
2
(m
1
−m
2
)
u
1
+
m
1
+m
2
2m
2
u
2
And,
v
2
=
m
1
+m
2
2m
1
u
1
−
m
1
+m
2
(m
1
+m
2
)
u
2
When m
1
=m
2
=m
v
1
=
2m
0
u
1
+
2m
2m
u
2
=u
2
And
v
2
=
2m
2m
u
1
−
2m
0
u
2
=u
1
Thus, the bodies exchange speeds after collision.
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