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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Answers
Answered by
3
Answer:
option D 8.3Cm
Step-by-step explanation:
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Answered by
1
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
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