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A bulllet of mass 10 g travelling horizo...

A bulllet of mass 10 g travelling horizontally with a velocity of 150 m`s^(-1)` strickes a stationaty wooden block and comes to rest in 0.03 s.Calculate the distance of penertaton magnitude of the force exerted by the wooden block on the bullet.

Text Solution

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Here,m=10g-0.01 kg,
u=150 m`s(-1)` ,v=0,t=0.03 s
`a=(v-u)/(t)=(0-150)/(0.03) ms^(-2)=-5000 ms^(-2)`
The distance of penetration of the bullet into the block.
`s=ut+(1)/(2)at^(2)`
`=150xx0.3+(1)/(2)xx(-5000)xx(0.03)^(2)` The magnitude of the force exerted by the wooden block on the bullet.
The distance of penetration is 2.25 m.The magnitude of force is 50N.
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