A body of mass 5 kg moving with 1 ms-1 collides with another body of mass 2.5 g and moving with velocity v in opposite direction. After collision both the bodies come to rest instantaneously.vv is
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ANSWER
Let the velocity of the second body be v after collision.
Applying conservation of momentum: m
1
u
1
−m
2
u
2
=0+m
2
v
∴ 5×3−3×2=3v ⟹v=3 ms
−1
Loss in kinetic energy ΔK.E=
2
1
m
2
v
2
−(
2
1
m
1
u
1
2
+
2
1
m
2
u
2
2
)
∴ ΔK.E=
2
1
3(3)
2
−
2
1
5(3)
2
−
2
1
3(2)
2
=−15J
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