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Question

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?

A
1 cm
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B
2 cm
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C
3 cm
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D
4 cm
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Solution

The correct option is A 1 cm
For first part of penetration, by equation of motion,
(u2)2=u22a(3)
or 3u2=24au2=8a ... (1)
For latter part of penetration,
0=(u2)22ax
or u2=8ax ... (2)
From (1) and (2)
8ax=8ax=1 cm

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