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A hunter has a machine gun that can fire 50g bullets with a velocity of 900ms^(-1) . A 40 kg tiger springs at him with a velocity of 10 mS^(-1). How many bullets must the hunter fire into the tiger in order to stop him in his track? |
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Answer» Solution :Mass of BULLET, `m=50g=0.05kg`,Velocity of bullet, `v=900 ms^(-1)` Mass of TIGER, `M=40 kg`,Velocity of tiger, `V=10 ms^(-1)` LET n be number of bullets reqired to be pumped into the tiger to stop him in his track. If the bullets and the tiger are supposed to constitute one isolated SYSTEM , then the magnitude of the momentum of n bullets should be equal to the MAGNITUDEOF momentum of the tiger. `:. nxxmv=MV "(or)" n=(MV)/(mv) :. n =(40xx10)/(0.05xx900)=8.89=9` |
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