1.

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

Answer»

3.0 CM
2.0 cm
1.5 cm
1.0 cm

Solution :Let K be the initial KINETIC enrgy and f be the resistive force.
`DELTAK`= work done against f.
`1/2m[v^2-(v^2)/(4)]=fxx3`
`1/2m[(v^2)/(4)-0]=fxx x`
Dividing `([1-1/4])/(1/4)=3/x` or x=1 cm.


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