1.

A hunterhas a machine gunthat can fire 50 g bullets with a velocityof150ms^(-1). A 60 kg tiger springs at him with a velocity 10ms^(-1) how many bullets must the hunter fire in tothe tiger in order to stop him in his track

Answer»

Solution :Given: mass of bullet
`m=50g = 0.5 kg`
Velocityof bullet
M= 60 kg
VELOCITYV= 10`MS^(-1)`
Let nbe thenumber of bulletrequiredto bepumped intotigerto stophim in histrack
Accordingto the law of conservation ofmomentum
MAGNITUDEOF themomentumof nbullets= magnitudeof tehmomentumof tiger of`nxxmv = Mv` or
`n = (MV)/(mv) = (60 xx 10)/( 0.05 xx 150) = 80`
`tan theta= (5)/(6)`
`theta= tan ^(-1) ((5)/(6))= tan ^(-1)(0.8333)`
`=39 .8^(@)`


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