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A bullet of mass m=10 gm strikes a hangi...

A bullet of mass m=10 gm strikes a hanging block of mass M=50 gm inelastically, with a horizontal velocity `v_(0)=60 m//s`. Find the change in tension (in N) in the string during collision. Round of to nearest integer. (Take : l=1m)

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The correct Answer is:
6

`T_(i)=Mg `
`T_(f)-(M+m) g =(M+m) (v^(2))/l`
`(M+m)v=mv_(0)`
`T_(f)=(M+m)g+(M+m)(v_(0)^(2))/((M+m)^(2)l)xxm^(2)`
`T_(f)-T_(i)=mg+(m^(2)v_(0)^(2))/((M+m)l)`
`=0xx10^(-1//3)xx10+(10^(-4)xx3600)/(60xx10^(-3)xx1)=6.1N`
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