If a body looses half of its velocity on penetrating 3cm in a wooden block, then how much will it penetrate more before coming to rest?
A
1cm
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B
2cm
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C
3cm
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D
4cm
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Solution
The correct option is A1cm For first part of penetration, by equation of motion, (u2)2=u2−2a(3) or 3u2=24a⇒u2=8a ... (1) For latter part of penetration, 0=(u2)2−2ax or u2=8ax ... (2) From (1) and (2) 8ax=8a⇒x=1cm