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A bullet fired into a fixed target loses half of its velocity after penetrating 3cm. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?A. `1.0 cm`B. `1.5 cm`C. `2.0 cm`D. `3.0 cm`

Answer» Correct Answer - A
Using law of conservation of total energy
Case `(i)` , `(1)/(2)m u^(2)=(1)/(2)m ((u)/(2))^(2)+Fxx3`
or `(3)/(4)((1)/(2)m u^(2))=Fxx3` …(i)
Case `(ii)` `(1)/(2)m u^(2)=FxxS` ....(ii)
or `(3)/(4)=(3)/(S)` or`S=4 cm`
`:.` Further distance travelled `=4-3=1cm`


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