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If a body looses half of its velocity on...

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

B

2 cm

C

3 cm

D

4 cm

Text Solution

Verified by Experts

The correct Answer is:
A
For first condition- `v^(2)= u^(2) - 2a s rArr ((u)/(2))^(2)= u^(2)- 2 a s rArr a= (3u^(2))/(8s)`
Second condition- `v^(2)= u^(2)- 2 a s rArr 0 = (u^(2))/(4)- 2 ax`
`x= (u^(2))/(4 xx 2a)= (u^(2) xx 8s)/(4 xx 2 xx 3u^(2))= (s)/(3)=1cm`
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