JEE Exam > JEE Questions > A bullet fired into a wooden block loses half...
Start Learning for Free
A bullet fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of?
Most Upvoted Answer
A bullet fired into a wooden block loses half of its velocity after pe...
Calculation of Distance Traveled by Bullet
Given:
- Initial velocity of the bullet = \( v_0 \)
- Velocity of the bullet after penetrating 40 cm = \( \frac{v_0}{2} \)
- Distance penetrated before coming to rest = 40 cm
Calculating the Distance Traveled
Let the total distance traveled by the bullet before coming to rest be \( d \).
When the bullet penetrates 40 cm, its velocity becomes \( \frac{v_0}{2} \).
Using the formula for distance traveled with constant acceleration:
\[ v^2 = u^2 + 2as \]
Where:
- \( v \) = final velocity
- \( u \) = initial velocity
- \( a \) = acceleration
- \( s \) = distance traveled
Substitute the given values into the formula:
\[ 0 = (\frac{v_0}{2})^2 + 2a(40) \]
As the bullet comes to rest, its final velocity is 0. Solve for acceleration:
\[ a = -\frac{(v_0)^2}{160} \]
Now, when the bullet comes to rest, the distance traveled is given by:
\[ d = 40 + \frac{v_0^2}{160} \]
Final Answer
The bullet will come to rest after traveling a total distance of \( 40 + \frac{v_0^2}{160} \) 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 fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of?
Question Description
A bullet fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of? 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 fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bullet fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of?.
A bullet fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of? 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 fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bullet fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of?.
Solutions for A bullet fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of? 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 fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of? defined & explained in the simplest way possible. Besides giving the explanation of
A bullet fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of?, a detailed solution for A bullet fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of? has been provided alongside types of A bullet fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of? theory, EduRev gives you an
ample number of questions to practice A bullet fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of? 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