A bomb of mass 16 kg at rest explodes into two pieces of masses 10 kg and 6 kg. If the speed of mass 6 kg is 20 m/s then the speed of mass 10 kg is
Answers
Explanation:
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Explanation:
★WE HAVE:
•Mass of bomb,M=16 kg
•Initial speed of bomb,u=0m/s
•Mass of fragments,m1=10kg and m2=6kg
•Speed of mass 6kg=v2=20 m/s
•Speed of mass 10kg =v1=??
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Intial momentum of the bomb,Pi=Mu=16×0=0 kgm/s
Final momentum of the bomb,Pf=m1v1+m2v2
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According to the law of conservation of linear momentum,,
Initial momentum= Final momentum
→ 0=m1v1+m2v2
Substituting the values of m1,v2 and m2,,we get,,
0=10v1+(6×20)
→0=10v1+120
→ -120/10=v1
→v1=-12 m/s
Hence,speed of mass 10kg is 12 m/s.
Negative sign shows that the velocity of 6kg is opposite of the 10kg.
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HOPE IT HELPS ❣️❣️❣️
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