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A bullet fired into a fixed target loses...

A bullet fired into a fixed target loses 20% of its K.E.in penetrating 1 cm. Find the total distance penetrated by bullet before it comes to rest :

A

2 cm

B

3 cm

C

4 cm

D

5 cm

Text Solution

Verified by Experts

The correct Answer is:
d

Here `1/2mv^2=(1-(20)/(100))xx1/2"mu"^2`
or `v^2=4/5u^2`
Applying `v^2-u^2=2aS,4//5u^2=u^2-2axx1` or `a=(u^2)/(10)`.
Let .x. be the distance penetrated.When bullet comes to rest i.e v=0, then `:. 0=u^2-2(u^2/10)x`
or x=5 cm.
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