Physics Middle School

a small 24 kilogram canoe is floating downriver at a speed of 3 m/s.what is the canoe's kinetic energy .
{~please help fast ~}

Answers

Answer 1

That all depends who's measuring it.

... If one Physics student is standing on the riverbank, watching the canoe float by, he will measure the canoe's kinetic energy and say it's  108 Joules.

... If another Physics student is sitting on another boat, floating on the same river and watching the same canoe, she will say that the canoe has zero kinetic energy.

Both of them are correct. 

Answer 2

Explanation :

Mass of the canoe, m = 24 kg

Speed of the canoe, v = 3 m/s

Kinetic energy is said to be possessed due to the motion of the object and it is given as :

[tex]E_k=\dfrac{1}{2}mv^2[/tex]

v is the velocity of the canoe.

[tex]E_k=\dfrac{1}{2}\times 24\ kg\times (3\ m/s)^2[/tex]

[tex]E_k=108\ J[/tex]

So, the kinetic energy of the canoe is 108 J

Hence, this is the required solution.

Related Questions

what evidence of a chemical change is observed when rust forms on iron

Answers

Final answer:

The formation of rust on iron is evidence of a chemical change, characterized by a change in color, the release of energy, and the creation of a new substance, iron oxide.

Explanation:

When rust forms on iron, it is an indication of a chemical change occurring. This process, called corrosion, specifically rusting, involves iron (Fe) reacting with oxygen ([tex]O_2[/tex]) in the presence of water ([tex]H_2O[/tex]) to form iron oxide ([tex]Fe_2O_3[/tex]), which is rust.

The evidence of this chemical change includes a color change where iron turns from a dark grey to rusty reddish-orange, the release of energy in the form of heat (although this release is often too slow to be felt by touch), and the production of a new substance with different properties from the original iron and oxygen.

QUESTION 1

Which statement accurately describes what happens when water turns to steam in terms of energy?

The water absorbs energy which causes the water molecules to have more kinetic and potential energy, changing their configuration from a liquid to a gas.

The water absorbs energy which causes chemical bonds to break, changing water to steam.

The water releases energy which causes the water molecules to have less kinetic and potential energy, changing their configuration from liquid to gas.

The water releases energy which causes chemical bonds to break, changing water to steam.



QUESTION 2

Which statement accurately describes what happens when water turns to ice in terms of energy?

The water absorbs energy which causes chemical bonds to form, changing water into ice.

The water releases energy which causes chemical bonds to form, changing water into ice.

The water absorbs energy which causes the water molecules to have more kinetic and potential energy, changing their configuration from a liquid to a solid.

The water releases energy which causes the water molecules to have less kinetic and potential energy, changing their configuration from liquid to solid.

Answers

It's D. If it absorbed it would be turning to steam. I am taking honors chem in high school we are learning this.

The First Question: The water releases energy which causes the water molecules to have less kinetic and potential energy, changing their configuration from liquid to solid.


The Second: The ice absorbs energy which causes the water molecules to have more kinetic and potential energy, changing their configuration from a solid to a liquid.



Took the test and both were correct.

In the alpha decay of Francium-221, what daughter element is produced? (You may need to refer to the periodic table in the lesson.)

Answers

In an alpha decay, the original nucleus decays into a daughter nucleus + an alpha particle, which consists of 2 protons and 2 neutrons.
The atomic number (number of protons) of the Francium is 87, and since in the decay it loses 2 protons, the atomic number of the daughter nucleus should be 85. Looking at the periodic table ,this corresponds to Astatine, and therefore this is the element produced in the alpha decay of Francium-221.
Moreover, the mass number (number of protons+neutrons) decreases by 4 (because an alpha particle carries 2 protons+2 neutrons), therefore in the reaction the mass number will decrease from 221 to 217. 
So, the daughter element is astatine-217.

217   AT

 85      (i don't have enough characters so ignore this part)

Describe the structure of metal

Answers

Metal atoms move freely. The metallic bond is the force of attraction between the free electrons and metal ions. Metallic bonds are strong so metals can keep a regular structure and usually have strong melting and boiling points. 

What happens during heat transfer within Earth?

Warmer, more dense material sinks
Warmer, less dense material rises
Cooler, more dense material rises
Cooler, less dense material sinks

Answers

Answer: (B) Warmer, less dense material rises

Explanation: thius happens when heat transfers because air thins out causing less dense materials to rise up in the air

I hope this helps :)

During heat transfer within Earth, Warmer, less dense material rises.

What is convection of heat?

Convection (or convective heat transfer) is the movement of fluid that transfers heat from one location to another. Convective heat transfer is often discussed as a separate method of heat transfer, but it actually involves the combined processes of conduction (heat diffusion) and advection (heat transfer by bulk fluid flow). In liquids and gases, convection is usually the dominant mode of heat transfer.

It should be noted that this definition of convection only applies to heat transfer and thermodynamic contexts. To distinguish the two, it should not be confused with the dynamic fluid phenomenon of convection, which is commonly referred to as Natural Convection in thermodynamic contexts.

As within the Earth,  heat flows by convection,  Warmer, less dense material rises.

Learn more about convection  here:

https://brainly.com/question/16635311

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In the fishbowl, the glass, water, rocks, and plastic plants are in thermal equilibrium. This situation means the temperature of the rocks is ??F. If the water is 75 degrees

Answers

The correct answer to this question is 75 degrees F.

Explanation :

It is given that In the fishbowl, the glass, water, rocks, and plastic plants are in thermal equilibrium. Thermal equilibrium is defined as the condition when all particles of the system are at the same temperature.

The temperature of the water is 75 degrees. So, using the concept of thermal equilibrium it is clear that the temperature of all the elements present inside fish bowl will be the same as that of water.

So, the temperature of the rocks is 75 degrees F.

Please help! 30Points!! An ultrasound machine uses waves to create images. The machine uses sound waves and which wave interaction?

A) diffraction
B) interference
C) reflection
D) refraction

Answers

Answer:

C) Reflection

Explanation:

In ultrasound technique we throw a sound of higher frequency towards the cells or the damaged part and then a detector is placed at the same point.

Now the detector is used to detect the reflected sound of the sound which we projected. Now the part from which detector not detect any sound will be termed as defect.

So in this whole process we need to find the part from which reflected sound is not detected.

So here correct answer must be

C) Reflection

Energy can be changed from one form to another. Which terms can be used to describe these changes? Check all that apply.

Answers

We can’t answer this question due to there not being the answers provided, please provide the answers so your question can be answered.

The answers to this is A,D.

What is a scientist studying if she is interested in the flow of energy, heat, and work?
A. Systems analysis
B. Adiabatics
C. Isobarics
D. Thermodynamics

Answers

is D. Thermodynamics
D thermodynamic is right

In a uranium fission reaction, uranium splits into two smaller atoms and energy. Where did the energy come from?

A. Chemical bonds are broken, and chemical energy is released.

B. When the uranium splits, mass and energy are created making the two new atoms.

C. Some of uranium's mass is converted into energy, so the smaller atoms have less mass.

D. The energy had to be the kinetic energy of the atom of uranium before it split.

I know its not B or A because I got them wrong...;-;! I'm thinking its D now...

Answers

Answer: C. Some of uranium's mass is converted into energy, so the smaller atoms have less mass.

Explanation:

From Einstein's mass-energy relation:

E = mc²

Mass and energy are equivalent. Mass can be converted into energy and energy into mass.

When Uranium atoms under go nuclear fission, smaller atoms are formed and huge amount of energy is released. This energy comes from the mass difference of the uranium nuclei and new nuclei formed. This mass converted into energy according to Einstein's equation.

The correct option is C. Some of uranium's mass is converted into energy, so the smaller atoms have less mass.

In a uranium fission reaction, some of the uranium's mass is converted into energy. This transformation follows Einstein's famous equation, E=mc², indicating that mass can be converted into energy. Therefore, the correct answer is C. Some of uranium's mass is converted into energy, so the smaller atoms have less mass.

Nuclear fission involves splitting the nucleus of an atom, which releases a substantial amount of energy in the form of heat and radiation. This occurs because the nuclear binding energy that holds the nucleus together is released when the nucleus splits apart.

The process also releases additional neutrons, which can go on to initiate fission in other uranium atoms, resulting in a chain reaction. This released energy is then harnessed in nuclear power plants to produce electricity.

Explain why a Chef in a very busy restaurant would prefer a copper pot over an aluminum pot. A) The copper pot would heat faster because it has a lower specific heat value. B) The copper pot would heat slower because it has a lower specific heat value. C) The copper pot would heat faster because it has a higher specific heat value. D) The copper pot would heat slower because it has a higher specific heat value.

Answers

A would be the answer 
Answer:

The correct choice is  (A) The copper pot would heat faster because it has a lower specific heat value.

Explanation:

Specific heat is the amount of energy required to bring a change of one degree in any material when it is heated. Since specific heat capacity of copper is low so it means that it requires less amount of heat to make it hot that is why chef will prefer copper over aluminium

Cells are the basic units of life in living organisms. Which of the following components make up cells? A. tissues and organs B. atoms and molecules C. molecules and organs D. atoms and tissues

Answers

The answer is B.

A cell is made up of atoms and molecules. A cell combines with other cells to form tissues, and organs.

Hope it helped!

The statement that describes the components that make up cells are atoms and molecules. Details about cells can be found below.

What is a cell?

A cell is a basic unit of a living organism, consisting of a quantity of protoplasm surrounded by a cell membrane.

A cell is the simplest unit of life, however, contains other subunits that make it up.

These components are atoms and molecules of elements that are responsible for the chemical makeup of a cell.

Learn more about cells at: https://brainly.com/question/3142913

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Waves 1 and 2 show different sound waves. Look carefully at the two waves. In what way do their wave characteristic differ ?

Answers


-- The amplitude of Wave-1 is greater than the amplitude of Wave-2 ...
possibly 3 or 4 times as great.

-- The wavelength of Wave-1 is longer than the wavelength of Wave-2 ...
maybe almost twice as long.

-- The frequency of Wave-2 is greater than the frequency of Wave-1 ...
maybe almost twice as frequent.

The correct answer is :    D) Wave 1 has a longer wavelength and a higher amplitude than wave 2.

HOPE I HELPED!!!Thanks @AL2006

I need help fast. what is the definition of Kinetic molecular model

Answers

it state that the average kinetic energy from a gas particle depends only on the temperature of the gas

Use the graph to fill in the missing temperature, salinity, and density values on the table.

Answers

Answer:

Positon      value to fill in

A              1.025 g/cm^3

B               34%

C               15°C

Explanation:

1) The first value to fill in is the density on position A.

The procedure is using the temperature given, i.e. 20°C, and the salinity, 35ppt, with the graph.

Place your ruler on the horizontal axis on the mark of 35% and go upward vertically until reaching the horizontal lecture of 20°C, the intersection points is on the curve of density 1.025 g/cm^3.

So, that is the density to put on the table for the position A: 1.025 g/cm^3.

2) The next value to find is the salinity on position B.

Use the temperature 25°C and the density 1.023.

Move horizontally from the vertical read of 25°C to the right until you reach the curve with 1.023 g/cm^3 density. Then move vertically downward to read the salinity which is 34%.

Fill in the blank of position B that value: 34%.

3) The final blank corresponds to the temperature on the position C.

Moving upward from the salinity 35% until the curve density = 1.026 g/cm^3, you find that the intersection is at temperature 15°C.

That is the value to put on the missing value for position C: 15°C.



how to find current in a series circuit

Answers

Divide the battery voltage by the sum of all the resistances in the series circuit. The quotient is the circuit current, in Amperes.

Answer: To find the current in a series circuit, you can follow these steps:

1. Identify the values of the resistors in the circuit. These values are usually given in ohms (Ω) and can be labeled with different letters or numbers.

2. Calculate the total resistance (R) of the circuit by summing the individual resistances. For a series circuit, the total resistance is simply the sum of all the resistances.

Explanation:

Example: If you have three resistors with values R1 = 10 Ω, R2 = 20 Ω, and R3 = 30 Ω, the total resistance (R) would be R = R1 + R2 + R3 = 10 Ω + 20 Ω + 30 Ω = 60 Ω.

3. Determine the total voltage (V) across the circuit. The total voltage is usually given and can be labeled as V or E.

4. Use Ohm's Law, which states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R). Mathematically, it can be expressed as I = V / R.

Example: If the total voltage (V) across the circuit is 120 volts and the total resistance (R) is 60 Ω, the current (I) flowing through the circuit would be I = V / R = 120 volts / 60 Ω = 2 amps.

So, in this example, the current in the series circuit is 2 amps. Remember to always include the appropriate units (A for amps) in your final answer.

It's important to note that in a series circuit, the current remains the same at all points in the circuit. So the value you find for the current is the same for every resistor in the circuit.

write down the total momentum for two marbles of mass,m, both moving at velocity, v. What is the kinetic energy of the system.

Answers

mv + mv = 2mv providing each momentum is in the same direction.
1/2 mv^2 + 1/2 mv^2  = mv^2

The momentum of marble-A is (m v).
The momentum of marble-B is (m v)
Momentum is a vector quantity, and we don't know the direction
either marble is moving.  So we don't know how their momenta 
will combine.  The sum of their momenta is something between
zero and (2mv).

The kinetic energy of marble-A is (1/2 m v²).
The kinetic energy of marble-B is (1/2 m v²).
If the marbles are the only matter in the system, then
the total kinetic energy in the system is (m v²). 

Which body part would most likely be affected by the improper application of a compression wrap?

Answers

It could be your arms or legs

Answer:

Tendons

Explanation:  A compression wrap is a strip of cloth that one can wrap around  a strain or sprain. Its pressure helps in reducing swelling and the injury starts to heal itself.

A tendon connects muscle to bone for the proper functioning of the body. It is basically a band of fibrous connective tissue capable of withstanding tension.

What is the frequency of a clock waveform whose period is 750 microseconds?

Answers

use this formula to find your answer...

Determine the frequency of a clock waveform whose period is 2us or (micro) and 0.75ms

frequency (f)=1/( Time period).

Frequency of 2 us clock =1/2*10^-6 =10^6/2 =500000Hz =500 kHz.

Frequency of 0..75ms clock =1/0.75*10^-3 =10^3/0.75 =1333.33Hz =1.33kHz.

The frequency of a clock waveform whose period is 750 microseconds would be 1333.33 Hertz because the frequency is the reciprocal of the time period of the waveform.

What is the frequency?

It can be defined as the number of cycles completed per second. It is represented in hertz and inversely proportional to the wavelength.

frequency of the waveform = 1 /time period of the waveform

As given in the problem we have to find the  frequency of a clock waveform whose period is 750 microseconds,

Then the number of cycles per second is known as the frequency

f = 1 /( 750 ×10⁻⁶)

f =1333.33 Hertz

Thus, the frequency of a clock waveform would be 1333.33 Hertz.

Learn more about frequency from here, refer to the link;

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As light shines from air to another medium, i = 30.0o, the light bends toward the normal and refracts at 22.0o. What is the index of refraction? n = _____

Answers

The answer is n = 1.3347
the answer is 1.33 ...i think

Find the angle formed by two forces of 7N and 15N respectively if its result is worth 20N

Answers

First, you need to make certain assumptions before solving this question. Why? Because there are no information given about the direction of these forces. In such questions as above, ALWAYS make the following assumptions:

1) Take first force, say [tex]F_{1}[/tex], and assume that it is pointing towards the x-direction.

Let us take the 7N force! By keeping the above assumption in our minds, the force vector would be like:
[tex]F_{1}[/tex] = [tex]7i[/tex], where [tex]i[/tex] = Unit vector in the x-direction.

2) Take the second force, say [tex]F_{2}[/tex], and assume that it is making an angle [tex] \alpha [/tex] with the first force [tex]F_{1}[/tex].

Let us take the 15N force! By keeping the above assumption in our minds, the forces vector would be like:

[tex]F_{2} = (15*cos \alpha)i + (15*sin \alpha )j[/tex]

Now from simple vector addition, we know that,
[tex]F_{R} = F_{1} + F_{2}[/tex] --- (A)

Where [tex]F_{R}[/tex] = Resultant vector.
NOTE: In equation (A), all forces are in vector notation. Assume that there is an arrow head on top of them.

Let us find [tex]F_{1}+F_{2}[/tex] first!
[tex]F_{1}+F_{2}[/tex] =  [tex]7i+(15*cos \alpha)i + (15*sin \alpha )j[/tex]

=> [tex]F_{1}+F_{2}[/tex] =  [tex](7+15*cos \alpha)i + (15*sin \alpha )j[/tex]

Now the magnitude of [tex]F_{1}+F_{2}[/tex] is,
| [tex]F_{1}+F_{2}[/tex]| = [tex] \sqrt{ (7+ 15*cos \alpha)^{2} + (15*sin \alpha )^{2}}[/tex]

=> | [tex]F_{1}+F_{2}[/tex]| = [tex]\sqrt{ 49 + 225*(cos \alpha)^{2} + 210*(cos \alpha)+ 255*(sin \alpha )^{2}}[/tex]

Since [tex](sin \alpha)^{2} + (cos \alpha)^{2} = 1[/tex], therefore,

=> | [tex]F_{1}+F_{2}[/tex]| = [tex]\sqrt{ 49 + 225 + 210*(cos \alpha)}[/tex]

Since  | [tex]F_{1}+F_{2}[/tex]| = |[tex]F_{R}[/tex]|, and the magnitude of the resultant force is 20N, therefore,

 |[tex]F_{R}[/tex]| = | [tex]F_{1}+F_{2}[/tex]|
20 = [tex]\sqrt{ 49 + 225 + 210*(cos \alpha)}[/tex]

Take square on both sides,
400 = [tex] 49 + 225 + 210*(cos \alpha)[/tex]
[tex](cos \alpha) = \frac{3}{5} [/tex]

[tex] \alpha = 53.13^{o}[/tex]

Ans: Angle formed by the two forces, 7N and 15N, is: 53.13°

-israr

A particular star is white. Another star that is much hotter is expected to be ______.
red
yellow
orange
blue

Answers

blue

hope this helps :)

Blue would be my final answer

photon energy is proportional to which of the following. a. speed of light in a vacuum. B frequency of the light emitting the photon. C intensity of the light emmitting the photon. D wavelegnth of light emmitting thr photon.

Answers

We have that according to the quantum theory from Planck, E=h*f where h is a constant and f is the frequency, thus B is correct. Let's analyze the other choices: The speed of light in vacuum is irrelevant to the energy of the photon. The instensity of a light source is correlated to the amount of photons in that light beam but it does not affect individual photons. Finally, if l is the wavelength of light, l*f=c. Substituting this in the first equation we see that photon energy is inversely proportional to the wavelength.

A virtual image produced by a lens is always
A. located in the back of the lens.
B. smaller than the object.
C. larger than the object.
D. located in front of the lens.

Answers

The Answer Is D Because When Uu Magnify Large Items The Image Is Reflected Back To The Magnifying Glass Which Makes The Image Appear In The Back

Option (D) is correct. The virtual image is always firmed in front of the lens or on the same side of the lens as of the object.

Explanation:

The image formed by the lens are categorized in two broad categories.

Real ImagesVirtual Images

The Real Image is a image that is formed by the actual meeting of the incoming rays from the object. The real image is an image that can be obtained on the screen.

The Virtual Image is an image that is formed by the the imaginary meeting of the incoming rays from the object. The virtual image cannot be obtained on the screen.

Since the real image is formed by the actual meeting of the rays, the rays would meet on the other side of the lens as that of the object. It means that a real image is formed behind the lens whereas for a virtual image, the diverging rays from object are extended in backward direction and made to meet on the same size as that of the object.

Thus, Option (D) is correct. The virtual image is always firmed in front of the lens or on the same side of the lens as of the object.

Learn More:

1. Nature of the image formed by the mirror https://brainly.com/question/11743071

2. What type of mirror do dentist use brainly.com/question/997618

3. A small bulb has a resistance of 2 ohm when cold brainly.com/question/10421964

Answer Details:

Grade: Middle School

Subject: Physics

Chapter: Lens

Keywords:

virtual, image, real, object, rays, incoming, converging, diverging, lens, back of lens, front, smaller, larger, screen, obtained.

Which of the following statements about the Sun is true?

Answers

The answer is C.

The sun's size is average compared to other stars in the galaxy, and there are billions of stars in the galaxy.

Hope this helps!
Hi there, friend!

I believe C is the correct choice.

~Brooke❤️

which statement accurately describes what happens when ice melts in terms of energy

Answers

When the ice melts, it changes from a solid state to a liquid state.

 When it is heated, the kinetic energy of the molecules that compose it, increases, the energy that the ice received, is transformed into potential energy and the content of kinetic energy stays constant. This causes a variation in the order of the ice molecules, which have a fixed position when the matter is in solid state.
In terms of energy the ice absorbs energy causing the molecules of water to have more kinetic and potential energy, changing their configuration from a solid to a liquid.

which statement accurately describes what happens when water turns to ice in terms of energy

Answers

Answer:

The water releases energy which causes the water molecules to have less kinetic and potential energy, changing their configuration from liquid to solid.

Explanation:

Confirmed through test.

The correct statement is given by Option C. The water releases energy which causes the water molecules to have less kinetic and potential energy changing their configuration from liquid to solid.

The process of water turning into ice involves a change in energy states. When liquid water freezes, it releases energy. This energy release causes the water molecules to lose kinetic and potential energy, allowing them to arrange into a more rigid configuration.

The complete question is:

Which statement accurately describes what happens when water turns to ice in terms of energy

A.The water absorbs which causes chemical bonds to form changing water into ice.

B. The water absorbs energy which causes the water molecules to have more kinetic and potential energy, changing their configuration from a liquid to a solid.

C. The water releases energy which causes the water molecules to have less kinetic and potential energy changing their configuration from liquid to solid.

D. The water releases energy which causes Chemical bonds to form changing water into ice

Please help
The wave pictured below represents a sound wave. If the distance from "A" to "B" increased, what would happen to the pitch?

Answers

It’s D. The pitch would be lower. I’m 100% sure. I just took the test. I hope this helps you!! <3

When  the distance from a to b was increased, the pitch of the sound would be lower.

What is the pitch of a sound?

The pitch of a sound is known to be how high or low the sound that is played is.

A high sound is known as a sound that has a high pitch and a low sound is known to be the one that has a low pitch.  In the above picture, the pitch will be lowered when the distance is increased.

Learn more about pitch  from

https://brainly.com/question/61859

How much heat energy (in megajoules) must be applied to melt 50 kg of lead at 20°C? (Hint: The melting point of lead is 327°C, and the specific heat of lead is 0.031.)

Answers

To melt 50 kg of lead at 20°C, we calculate the energy to raise the temperature to the melting point and the energy to melt the lead. The total heat energy required is 1,710.35 kJ.

To determine how much heat energy is required to melt 50 kg of lead at 20°C, we must consider two steps: heating the lead from 20°C to its melting point, and then melting the lead. The specific heat capacity of lead is given as 0.031 Wh/kg°C or 110 J/kg°C (using the conversion 1 Wh = 3,600 J). However, the latent heat of fusion for lead is not provided in the question, and we must consider the common value used for lead, which is approximately 24.7 kJ/kg.

First, calculate the energy to raise the temperature from 20°C to 327°C:

Energy required ([tex]E_{temp}[/tex]) = mass (m) x specific heat capacity (c) x change in temperature = 50,000 g x 0.031 J/g °C x (327°C - 20°C)

[tex]E_{temp}[/tex] = 50,000 g x 0.031 J/g °C x 307°C= 475,350 J = 475.35 kJ

Next, calculate the energy required to melt the lead:

Energy required to melt ([tex]{E_{melt}}[/tex]) = mass (m) x latent heat of fusion

= 50 kg x 24.7 kJ/kg

= 1,235 kJ

Finally, add the energy required to heat the lead to the melting point to the energy required to melt the lead to get the total heat transfer:

Total energy =  [tex]E_{temp}[/tex] + [tex]{E_{melt}}[/tex]

= 475.35 kJ + 1,235 kJ

= 1,710.35 kJ

Therefore, to melt 50 kg of lead at 20°C, 1,710.35 kJ of heat energy must be applied.

Approximately 1496.35 kJ of heat energy is needed to melt 50 kg of lead at 20°C.

To find out how much heat energy is required to melt the lead, we need to calculate the heat required to raise the temperature of the lead from 20°C to its melting point (327°C), and then the heat required to melt it.

1. Heat to raise the temperature:

  The formula for this is:

[tex]\[ Q = mc\Delta T \][/tex]

  Where:

[tex]- \( Q \) = heat energy (in joules)[/tex]

[tex]- \( m \) = mass of the substance (in kg)[/tex]

[tex]- \( c \) = specific heat capacity (in J/kg°C)[/tex]

[tex]- \( \Delta T \) = change in temperature (in °C)[/tex]

  Given:

[tex]- \( m = 50 \) kg (mass of lead)[/tex]

[tex]- \( c = 0.031 \) (specific heat capacity of lead)[/tex]

[tex]- \( \Delta T = (327 - 20) \) °C[/tex]

  Substituting the values:

[tex]\[ Q = 50 \times 0.031 \times (327 - 20) \][/tex]

[tex]\[ Q = 50 \times 0.031 \times 307 \][/tex]

2. Heat to melt the lead:

  The formula for this is:

[tex]\[ Q = mL \][/tex]

  Where:

[tex]- \( Q \) = heat energy (in joules)[/tex]

[tex]- \( m \) = mass of the substance (in kg)[/tex]

[tex]- \( L \) = latent heat of fusion (in J/kg)[/tex]

  The latent heat of fusion for lead is the energy required to change its phase from solid to liquid at its melting point. This value is typically given in tables and is [tex]\( 2.04 \times 10^4 \)[/tex] J/kg.

  Given:

[tex]- \( m = 50 \) kg (mass of lead)[/tex]

[tex]- \( L = 2.04 \times 10^4 \) J/kg[/tex]

  Substituting the values:

[tex]\[ Q = 50 \times 2.04 \times 10^4 \][/tex]

Now, let's calculate both:

[tex]1. \( Q_1 = 50 \times 0.031 \times 307 \)[/tex]

[tex]2. \( Q_2 = 50 \times 2.04 \times 10^4 \)[/tex]

Adding these together will give us the total heat energy required to melt 50 kg of lead at 20°C:

[tex]\[ \text{Total Heat Energy} = Q_1 + Q_2 \][/tex]

Let's calculate:

[tex]\[ Q_1 = 50 \times 0.031 \times 307 = 476.35 \text{ kJ} \][/tex]

[tex]\[ Q_2 = 50 \times 2.04 \times 10^4 = 1.02 \times 10^6 \text{ J} = 1020 \text{ kJ} \][/tex]

[tex]\[ \text{Total Heat Energy} = 476.35 \text{ kJ} + 1020 \text{ kJ} = 1496.35 \text{ kJ} \][/tex]

So, approximately 1496.35 kJ of heat energy must be applied to melt 50 kg of lead at 20°C.

why does biodiversity contribute to a habitats sustainability

Answers

The two factors that contribute tobiodiversity are the richness in the number of different species available in the ecosystem, or the richness in the number of individuals of the one species. This is because each species has a role in the ecosystem on which other organisms depend for survival.
every species has a role in their ecosystem on which other organisms depend on for survival
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