A bullet, when fire at a fixed target, has its speed decreased to 50% after penetrating 15cm in to it. What additional thickness it will penetrate before coming to rest?
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Expert's answer
2013-03-15T09:08:06-0400
A bullet, when fire at a fixed target, has its speed decreased to 50% after penetrating 15cm in to it. What additional thickness it will penetrate before coming to rest?
Let the velocity of a bullet was V before hitting target. Then the kinetic energy of a bullet was
K1 = mV²/2.
As after penetrating 15cm into a target bullet's speed decreased to 50%, its kinetic energy became
K2 = m(V/2)²/2 = mV²/8.
Assuming that the bullet's energy decreases linearly while penetrating a target. Then the amount of energy needed to penetrate one cm of a target is
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