Question

A bullet fired into a fixed target looses half of its velocity in penetrating . Before coming to rest, it can penetrate a further distance of:

A

B

C

D

Medium
Solution
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Correct option is A)

Assuming that the bullet has only Kinetic Energy ( ) initially.

Let initial velocity be .

So, final  velocity  is .

Energy  lost is 
                                                                 
 

Remaining energy

Since,  is lost  in penetration,

Hence would penetrate to  

 So, the distance further travelled by the bullet before coming to rest

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