Class 11 Exam > Class 11 Questions > A bullet moving with a uniform velocity v, st...
Start Learning for Free
A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m,specific heat S , initial temperature 25 degree Celsius, melting point 475 degree Celsius and latent heat L.then v is given by?
Verified Answer
A bullet moving with a uniform velocity v, stops suddenly after hittin...
1/2mv^2=ms450+ml
Solve for v u get v=(2l+900s)ans.
This question is part of UPSC exam. View all Class 11 courses
Most Upvoted Answer
A bullet moving with a uniform velocity v, stops suddenly after hittin...
Given data:
- Initial velocity of the bullet, $v$
- Mass of the target, $m$
- Specific heat of the material, $S$
- Initial temperature, $T_i = 25^\circ C$
- Melting point, $T_m = 475^\circ C$
- Latent heat of fusion, $L$
Finding the final temperature:
- The bullet stops suddenly after hitting the target, transferring all its kinetic energy into heat energy.
- The heat energy required to raise the temperature of the mass from $T_i$ to $T_m$ is given by $Q = m \cdot S \cdot (T_m - T_i)$.
- The heat energy required to melt the mass at $T_m$ is given by $Q = m \cdot L$.
- Equating the two heat energies, we get $m \cdot S \cdot (T_m - T_i) = m \cdot L$.
- Solving for $T_m$, we get $T_m = \frac{L}{S} + T_i$.
Calculating the velocity:
- The final kinetic energy of the bullet is zero.
- The initial kinetic energy of the bullet is $\frac{1}{2} m v^2$.
- The work done in stopping the bullet is equal to the initial kinetic energy.
- The work done is given by $Q = \frac{1}{2} m v^2$.
- Substituting the value of $Q$ from above, we get $\frac{1}{2} m v^2 = m \cdot S \cdot (T_m - T_i)$.
- Substituting the value of $T_m$, we get $\frac{1}{2} v^2 = \frac{L}{2S}$.
- Solving for $v$, we get $v = \sqrt{\frac{L}{S}}$.
Therefore, the velocity of the bullet, $v$, is given by $\sqrt{\frac{L}{S}}$.
- Initial velocity of the bullet, $v$
- Mass of the target, $m$
- Specific heat of the material, $S$
- Initial temperature, $T_i = 25^\circ C$
- Melting point, $T_m = 475^\circ C$
- Latent heat of fusion, $L$
Finding the final temperature:
- The bullet stops suddenly after hitting the target, transferring all its kinetic energy into heat energy.
- The heat energy required to raise the temperature of the mass from $T_i$ to $T_m$ is given by $Q = m \cdot S \cdot (T_m - T_i)$.
- The heat energy required to melt the mass at $T_m$ is given by $Q = m \cdot L$.
- Equating the two heat energies, we get $m \cdot S \cdot (T_m - T_i) = m \cdot L$.
- Solving for $T_m$, we get $T_m = \frac{L}{S} + T_i$.
Calculating the velocity:
- The final kinetic energy of the bullet is zero.
- The initial kinetic energy of the bullet is $\frac{1}{2} m v^2$.
- The work done in stopping the bullet is equal to the initial kinetic energy.
- The work done is given by $Q = \frac{1}{2} m v^2$.
- Substituting the value of $Q$ from above, we get $\frac{1}{2} m v^2 = m \cdot S \cdot (T_m - T_i)$.
- Substituting the value of $T_m$, we get $\frac{1}{2} v^2 = \frac{L}{2S}$.
- Solving for $v$, we get $v = \sqrt{\frac{L}{S}}$.
Therefore, the velocity of the bullet, $v$, is given by $\sqrt{\frac{L}{S}}$.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
|
Explore Courses for Class 11 exam
|
|
Top Courses for Class 11View all
A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m,specific heat S , initial temperature 25 degree Celsius, melting point 475 degree Celsius and latent heat L.then v is given by?
Question Description
A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m,specific heat S , initial temperature 25 degree Celsius, melting point 475 degree Celsius and latent heat L.then v is given by? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m,specific heat S , initial temperature 25 degree Celsius, melting point 475 degree Celsius and latent heat L.then v is given by? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m,specific heat S , initial temperature 25 degree Celsius, melting point 475 degree Celsius and latent heat L.then v is given by?.
A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m,specific heat S , initial temperature 25 degree Celsius, melting point 475 degree Celsius and latent heat L.then v is given by? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m,specific heat S , initial temperature 25 degree Celsius, melting point 475 degree Celsius and latent heat L.then v is given by? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m,specific heat S , initial temperature 25 degree Celsius, melting point 475 degree Celsius and latent heat L.then v is given by?.
Solutions for A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m,specific heat S , initial temperature 25 degree Celsius, melting point 475 degree Celsius and latent heat L.then v is given by? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m,specific heat S , initial temperature 25 degree Celsius, melting point 475 degree Celsius and latent heat L.then v is given by? defined & explained in the simplest way possible. Besides giving the explanation of
A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m,specific heat S , initial temperature 25 degree Celsius, melting point 475 degree Celsius and latent heat L.then v is given by?, a detailed solution for A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m,specific heat S , initial temperature 25 degree Celsius, melting point 475 degree Celsius and latent heat L.then v is given by? has been provided alongside types of A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m,specific heat S , initial temperature 25 degree Celsius, melting point 475 degree Celsius and latent heat L.then v is given by? theory, EduRev gives you an
ample number of questions to practice A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m,specific heat S , initial temperature 25 degree Celsius, melting point 475 degree Celsius and latent heat L.then v is given by? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup