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?

Explanation

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 magnitude of momentum of the tiger.
`:. nxxmv=MV "(or)" n=(MV)/(mv) :. n =(40xx10)/(0.05xx900)=8.89=9`