A bullet fired into a trunk of a tree loses 25% of its initial velocity in penetrating 14cm. The further distance it penetrates before coming to rest is
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Explanation:
Let the velocity of the bullet when it strikes the target be v.
Velocity after the bullet penetrated 15cm =v2.
Using v²=u²+2aS
(v2)2=v2+2a(15)
⟹v24=v2+30a
⟹a=−v240
Since the resistance offered by the material to the bullet is same throughout, a remains constant.
Using v²=u²+2aS for motion after 15cm
Finally the bullet is at rest, hence v=0
Initial velocity for motion after 15cm =v2
⟹(0)2=(v2)2+2(−v240)(S)
⟹2(v240)(S)=(v2)2
⟹v220S=v24
⟹S=5cm
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