If an object of mass 'm' moving with velocity 'v' acted by external force suspect that its velocity increased by 4 times. Find the percentage of change in momentum.
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Answer:
Initial momentum of system , p
1
=mv
Let V be the velocity of composite system
Final momentum os system , p
2
=(m+M)V
By conservation of momentum,
mv=(m+M)V
∴V=
m+M
mv
Kinetic energy of composite block, K=
2
1
(M+m)V
2
=
2
1
(M+m)(
m+M
mv
) 2 = 2
1 mv2 ×m+Mm
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