A target is made of two plates, one of wood and the other of iron. The thickness of the wooden plate is $$4$$ cm and that of iron plate is $$2$$ cm. A bullet fired goes through the wood first and then penetrates $$1$$ cm into iron. A similar bullet fired with the same velocity from opposite direction goes through iron first and then penetrates $$2$$ cm into wood. If $$a1$$ and $$a2$$ be the retardations offered to the bullet by wood and iron plates respectively, then

Question

A target is made of two plates, one of wood and the other of iron. The thickness of the wooden plate is $$4$$ cm and that of iron plate is $$2$$ cm. A bullet fired goes through the wood first and then penetrates $$1$$ cm into iron. A similar bullet fired with the same velocity from opposite direction goes through iron first and then penetrates $$2$$ cm into wood. If $$a1$$ and $$a2$$ be the retardations offered to the bullet by wood and iron plates respectively, then

Infinity Learn · Accepted Answer

$$0=u2-2a1(4)-2a2(1)0=u2-2a2(2)-2a1(2)From$$ these two equations, we get $$a2=2a1$$

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