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A bullet moving with a speed of 150ms^-1...

A bullet moving with a speed of `150ms^-1` strikes a tree and penetrates 3.5 cm before stopping. What is the magnitude of its retardation in the tree and the time taken for it to shop after striking the tree?

Text Solution

Verified by Experts

`u=150 m//s, s=3.5 cm=0.-035m, v=0`
`v^(2)-u^(2)=2as`
`0-150^(2)=2 times a times 0.035`
`a=abs((-150 times 150)/(2 times 0.035))`
`" "=-3.214 times 10^(5)m//s^(2)=-3.214 times 10^(5)m//s^(2)`
Time `=(v-u)/a=(0-150)/(3.214 times 10^(5))=(-150)/(3.214 times 10^(5))`
`" "=4.67 times 10^(-4)` sec.
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