A 10kg mass at rest explodes such that it splits into two parts such that the heavier part weighs 4 times the lighter one. If the heavier mass goes due west with velocity of 5 metres per second , find the velocity of the lighter part. Also specify the direction in which it goes.
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Answer:
Mass of one part m
1
=200 gm
Its velocity v
1
=12 m/s towards east
So, mass of other part m
2
=300−200=100 gm
Let its velocity be v
2
.
Applying conservation of linear momentum : P
f
−P
i
Or m
1
v
1
+m
2
v
2
=0
Or 200×12+100×v
1
=0
⟹ v
2
=−24 m/s
So, the second part will fly off towards west with a velocity of 24 m/s.
Explanation:
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