answer of questions 88,89,90
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90)Let the mass of the bullet is m
And initial velocity is u
The 25% of its kinetic energy is
1/8×mv^2
And work done in penetrating the block is
F×x
So from the law of conservation of energy
F×x=1/8mv^2
Since f=ma
And here retardation has been occurred, as ball is stopped, so
a=(v-u)/t
Here v=0
Hence
1/8mu^2=mux
X=1/8×u
Hence the ball will penetrate the block equals to one eighth of its initial velocity if it uses 25% of its kinetic energy in doing so
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