JEE Exam > JEE Questions > A bullet when first into a target loses half ...
Start Learning for Free
A bullet when first into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest is
- a)6.66 cm
- b)3.33 cm
- c)12.5 cm
- d)10 cm
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A bullet when first into a target loses half of its velocity after pen...
Most Upvoted Answer
A bullet when first into a target loses half of its velocity after pen...
Given:
A bullet loses half of its velocity after penetrating 20 cm into a target.
To find:
The further distance of penetration before it comes to rest.
Solution:
It is given that the bullet loses half of its velocity after penetrating 20 cm. Let's assume the initial velocity of the bullet as v m/s.
Step 1: Finding the final velocity:
Since the bullet loses half of its velocity after penetrating 20 cm, the final velocity can be calculated as:
Final velocity = Initial velocity / 2
v/2 m/s
Step 2: Finding the time of flight:
The time taken by the bullet to penetrate 20 cm can be calculated using the equation of motion:
Distance = Initial velocity * Time + (1/2) * Acceleration * Time^2
20 cm = v * t + (1/2) * 0 * t^2 (As the bullet is not accelerating after penetrating the target)
20/100 = vt
t = 20/100v
Step 3: Finding the further distance of penetration:
The further distance of penetration can be calculated using the equation of motion:
Distance = Initial velocity * Time + (1/2) * Acceleration * Time^2
Distance = v/2 * t + (1/2) * 0 * t^2 (As the bullet is not accelerating after penetrating the target)
Distance = v/2 * (20/100v)
Distance = (v^2/100) cm
Step 4: Converting the distance to cm:
The distance is given in cm, so we don't need to convert it.
Therefore, the further distance of penetration before the bullet comes to rest is (v^2/100) cm.
Answer:
The correct option is (A) 6.66 cm.
A bullet loses half of its velocity after penetrating 20 cm into a target.
To find:
The further distance of penetration before it comes to rest.
Solution:
It is given that the bullet loses half of its velocity after penetrating 20 cm. Let's assume the initial velocity of the bullet as v m/s.
Step 1: Finding the final velocity:
Since the bullet loses half of its velocity after penetrating 20 cm, the final velocity can be calculated as:
Final velocity = Initial velocity / 2
v/2 m/s
Step 2: Finding the time of flight:
The time taken by the bullet to penetrate 20 cm can be calculated using the equation of motion:
Distance = Initial velocity * Time + (1/2) * Acceleration * Time^2
20 cm = v * t + (1/2) * 0 * t^2 (As the bullet is not accelerating after penetrating the target)
20/100 = vt
t = 20/100v
Step 3: Finding the further distance of penetration:
The further distance of penetration can be calculated using the equation of motion:
Distance = Initial velocity * Time + (1/2) * Acceleration * Time^2
Distance = v/2 * t + (1/2) * 0 * t^2 (As the bullet is not accelerating after penetrating the target)
Distance = v/2 * (20/100v)
Distance = (v^2/100) cm
Step 4: Converting the distance to cm:
The distance is given in cm, so we don't need to convert it.
Therefore, the further distance of penetration before the bullet comes to rest is (v^2/100) cm.
Answer:
The correct option is (A) 6.66 cm.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A bullet when first into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest isa)6.66 cmb)3.33 cmc)12.5 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer?
Question Description
A bullet when first into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest isa)6.66 cmb)3.33 cmc)12.5 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A bullet when first into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest isa)6.66 cmb)3.33 cmc)12.5 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bullet when first into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest isa)6.66 cmb)3.33 cmc)12.5 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer?.
A bullet when first into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest isa)6.66 cmb)3.33 cmc)12.5 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A bullet when first into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest isa)6.66 cmb)3.33 cmc)12.5 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bullet when first into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest isa)6.66 cmb)3.33 cmc)12.5 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A bullet when first into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest isa)6.66 cmb)3.33 cmc)12.5 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A bullet when first into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest isa)6.66 cmb)3.33 cmc)12.5 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A bullet when first into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest isa)6.66 cmb)3.33 cmc)12.5 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A bullet when first into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest isa)6.66 cmb)3.33 cmc)12.5 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A bullet when first into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest isa)6.66 cmb)3.33 cmc)12.5 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A bullet when first into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest isa)6.66 cmb)3.33 cmc)12.5 cmd)10 cmCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup