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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?
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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.
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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 $\sqrt{\frac{L}{S}}$.
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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 water is

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.

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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?
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