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 $\sqrt{\frac{L}{S}}$.
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

Similar Class 11 Doubts

Importance of high specific heat capacity of water for life Specific heat capacity of a substance is the amount of heat required to raise the temperature of that substance by 1 K. It is expressed in the units J/ (kg K). A high specific heat of a substance means that a large amount of heat is required to raise the temperature of the substance. Water has the highest known specific heat capacity. Its specific heat capacity is 4.186 K J/ (kg K) i.e. to raise the temperature of 1 kg of water by 1 Kelvin it requires 4.186 KJ of heat. For comparison sake, Copper requires only 385 Joules of heat to raise 1 kilogram of copper by 1 Kelvin. It also interesting to know that the specific heat capacities in two other phases of water (i.e. ice and water vapour) are less than this. High specific heat of water is mainly due to the presence of a large number of hydrogen bonds between molecules of water. On a beach on a sunny day, it is noticed that the sand is often quite hot to walk on, but the water is always cool, even in the shallows. This is because sand has a lower specific heat capacity than that of water. Sand takes less energy to raise the temperature by one degree. Because water has a high specific heat capacity, it requires more energy to raise the temperature by one degree. Since the sun puts same rate of energy on water and sand, which heats up sand more quickly and water more slowly. Water covers around 70% of the Earth's surface and its high specific heat plays a very important role to sustain life in the earth. It is able to absorb a lot of heat without a significant rise in the temperature. When temperatures decrease, the heat which is stored is released, restraining a rapid drop in temperature. The combined effect is the buffering of heat. A relatively constant temperature without sudden rise and drop is essential to sustain life. Hence water is important for life.Q. Which statement is false?

Importance of high specific heat capacity of water for life Specific heat capacity of a substance is the amount of heat required to raise the temperature of that substance by 1 K. It is expressed in the units J/ (kg K). A high specific heat of a substance means that a large amount of heat is required to raise the temperature of the substance. Water has the highest known specific heat capacity. Its specific heat capacity is 4.186 K J/ (kg K) i.e. to raise the temperature of 1 kg of water by 1 Kelvin it requires 4.186 KJ of heat. For comparison sake, Copper requires only 385 Joules of heat to raise 1 kilogram of copper by 1 Kelvin. It also interesting to know that the specific heat capacities in two other phases of water (i.e. ice and water vapour) are less than this. High specific heat of water is mainly due to the presence of a large number of hydrogen bonds between molecules of water. On a beach on a sunny day, it is noticed that the sand is often quite hot to walk on, but the water is always cool, even in the shallows. This is because sand has a lower specific heat capacity than that of water. Sand takes less energy to raise the temperature by one degree. Because water has a high specific heat capacity, it requires more energy to raise the temperature by one degree. Since the sun puts same rate of energy on water and sand, which heats up sand more quickly and water more slowly. Water covers around 70% of the Earth's surface and its high specific heat plays a very important role to sustain life in the earth. It is able to absorb a lot of heat without a significant rise in the temperature. When temperatures decrease, the heat which is stored is released, restraining a rapid drop in temperature. The combined effect is the buffering of heat. A relatively constant temperature without sudden rise and drop is essential to sustain life. Hence water is important for life.Q. Specific heat capacity of ice is ............... than and specific heat capacity of water vapour is ............... than that of water.

Importance of high specific heat capacity of water for life Specific heat capacity of a substance is the amount of heat required to raise the temperature of that substance by 1 K. It is expressed in the units J/ (kg K). A high specific heat of a substance means that a large amount of heat is required to raise the temperature of the substance. Water has the highest known specific heat capacity. Its specific heat capacity is 4.186 K J/ (kg K) i.e. to raise the temperature of 1 kg of water by 1 Kelvin it requires 4.186 KJ of heat. For comparison sake, Copper requires only 385 Joules of heat to raise 1 kilogram of copper by 1 Kelvin. It also interesting to know that the specific heat capacities in two other phases of water (i.e. ice and water vapour) are less than this. High specific heat of water is mainly due to the presence of a large number of hydrogen bonds between molecules of water. On a beach on a sunny day, it is noticed that the sand is often quite hot to walk on, but the water is always cool, even in the shallows. This is because sand has a lower specific heat capacity than that of water. Sand takes less energy to raise the temperature by one degree. Because water has a high specific heat capacity, it requires more energy to raise the temperature by one degree. Since the sun puts same rate of energy on water and sand, which heats up sand more quickly and water more slowly. Water covers around 70% of the Earth's surface and its high specific heat plays a very important role to sustain life in the earth. It is able to absorb a lot of heat without a significant rise in the temperature. When temperatures decrease, the heat which is stored is released, restraining a rapid drop in temperature. The combined effect is the buffering of heat. A relatively constant temperature without sudden rise and drop is essential to sustain life. Hence water is important for life.Q. To raise the temperature of 1 kg of water and 1 kg of copper by 1 Kelvin, 4.186 KJ and 385 Joule of heat are required respectively. Which one will get heated up faster if exposed to sun?

Top Courses for Class 11

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?.
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

Top Courses for Class 11

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev