Question

5|M
121. A bullet fired into a target, lose half of its velocity afte
penetrating 25 cm. How much further it will penetrate
before coming to rest
(a) V25cm (b) 25cm (c) 75cm (d) 8.3cm
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Answer 1

Answer:

Answer:

Let the velocity of the bullet when it strikes the target be v.

Velocity after the bullet penetrated 25 cm =v/2.

Using v²=u²+2aS

(v/2)²=v²+2a × 25

v²/4=v²+ 50a

-3v²/4= 50a

⟹ a = -3v²/200

Since the resistance offered by the material to the bullet is same throughout, a remains constant.

Using v²=u²+2aS for motion after 25 cm

Finally the bullet is at rest, hence v=0

Initial velocity for motion after 25 cm =v/2

v²=u²+2aS

0²=(v/2)²+2 × -3v²/200× S

-3v²/100× S = - v²/4

S = 1/4 × (100/3) = 25/3 = 8.3

So the required distance = 8.3 cm

So the required answer is (d) 8.3cm

Answer 2

Answer

Option (d) is your answer

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