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  • If a body looses half of its velocity on penetrating  3 cm in a wooden block, then how much will it penetrate more before coming to rest?Option: 1

If a body looses half of its velocity on penetrating  3 cm in a wooden block, then how much will it penetrate more before coming to rest?

Option: 1

1 cm


Option: 2

2 cm


Option: 3

3 cm


Option: 4

4 cm


Answers (1)

best_answer

For first part of penetration, by equation of motion,

\left ( \frac{u}{2} \right )^{2}=u^{2}-2a(3)

or  3u^{2}=24a\Rightarrow u^{2}=8a\; ...........(i)

For latter part of penetration,

0=\left ( \frac{u}{2} \right )^{2}-2ax

or   u^{2}=8ax...........(ii)

From (i) and (ii)

8ax=8a\Rightarrow x=1\; cm

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