In the inelastic collision of the carts, the two carts fuse into an object with double the mass of the original cart. The works due to friction and the frictional force exerted to stop the two carts over 20 meters is 980 Joules.
What is inelastic collision?Generally, To calculate the work due to friction and the frictional force exerted to stop the two carts over 20 meters, we will need to know the coefficient of friction between the carts and the track, the mass of the two carts, and the acceleration due to gravity.
The equation for work due to friction is:
Work = Friction force * Distance
The equation for the friction force is:
Friction force = Coefficient of friction * Normal force
The normal force is equal to the mass of the two carts multiplied by the acceleration due to gravity:
Normal force = Mass * Gravity
We can substitute these equations into the equation for work to get:
Work = (Coefficient of friction * Mass * Gravity) * Distance
To calculate the work, we need to substitute in the values for the coefficient of friction, mass, gravity, and distance. Let's say the coefficient of friction is 0.5, the mass of the two carts is 10 kilograms, and the acceleration due to gravity is 9.8 meters per second squared. The distance the carts travel is 20 meters.
Substituting these values into the equation for work, we get:
Work = (0.5 * 10 * 9.8) * 20
Solving this equation gives us a final value for the work of: 980 Joules.
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a 1.00 102 -kg block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 124 n/m. the block is shoved parallel to the spring axis and is given an initial speed of 8.00 m/s, while the spring is initially unstrained. what is the amplitude of the resulting simple harmonic motion?
The amplitude of the resulting simple harmonic motion will be A=0.07184M
As M (Mass) =1X10^-2
K (constant) =124 n/m (newton/ meter)
u (initial speed) =8 m/s at x=0
A=?
we have, e=1/2kx^2+1/2mu^2
but E=1/2KA^2
=1/2KA^2=1/2KX^2+1/2MU^2
1/2KA^2=1/2MU^2
A^2=M/KU^2=A=(M/K)U
A=(√1X10^-2)/124)(8)=0.0718
A=0.07184M
or
A=71.84X10^-3M
A wave's amplitude is the separation between its starting point and its maximum displacement. Frequency is the quantity of waves that pass past a given place each second. Period: the amount of time required for a wave cycle to end.
It speaks about the greatest deviation an object in periodic motion can exhibit from equilibrium. A pendulum, for instance, swings past its equilibrium point (straight down), then swings to a maximum distance from the centre.
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What are 2 literary devices we see in satire?
The 2 literary devices we see in satire are:
Irony: Gap between what is said and what is meant.
Hyperbole: A literary term for exaggerating a particular event or person.
What is satire?
Satire is a genre of visual, literary, and performing arts, usually fiction, rarely non-fiction, is intended to embarrass or disclose Improve a company, government, or society itself. Although satire is usually intended to be humorous, its more important purpose is often constructive social criticism, drawing witty attention to specific and broader societal issues.
The hallmark of satire is strong sarcasm and irony - according to literary critic Northrop Fry, "in satire sarcasm is warlike" - but parody, burlesque, exaggeration, juxtaposition, comparison, Analogies, double entenders, are all commonly used in satirical speaking and writing. This "belligerent" cynicism and cynicism often professes to condone (or at least take for granted) exactly what the satirist wants to question.
The 2 literary devices we see in satire are:
Irony: Gap between what is said and what is meant.
Hyperbole: A literary term for exaggerating a particular event or person.
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a toy cannon is fixed to a small cart and both move to the right with speed v along a straight track, as shown above. the cannon points in the direction of motion. when the cannon fires a projectile the cart and cannon are brought to rest. if m is the mass of the cart and cannon combined without the projectile, and m is the mass of the projectile, what is the speed of the projectile relative to the ground immediately after it is fired?
The speed of the projectile relative to the ground immediately after it is fired is determined as v.
What is the final speed of the projectile?The final speed of the projectile is obtained by applying the principle of conservation of linear momentum.
The law of conservation of linear momentum states that in an isolated system, the sum of the initial momentum is equal to the sum of the final momentum.
Pi = Pf
where;
Pi is initial momentum of the cannon and small cartPf is the final momentum of the projectilePi = mv
where;
m is the mass of the toy cannon and small cart combined v is the speed of the toy cannon and small cart combinedPf = Pi = mv
since mass of the projectile = m
The final speed is calculated as;
Pf = mv
v = Pf / m
v = mv / m
v = v
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a 500 w heating unit is designed to operate with an applied potential difference of 115v. by what percentage will the power drop if the applied potential difference is reduced to 100v?
We change [V 1] to 115 V, [V 2] to 110 V, and [P 1] to 500 W in the equation above. As a result, the output power will decline by 8.5%, which will also result in an 8.5% fall in heating output.
How much heat is produced by 500W?A low-wattage 500W heater can effectively heat places up to 57 square feet and offers a heating output of 1706 BTU. The smallest 200W heater, which can heat places up to 23 square feet, has a heating output of 682 BTU.
How much energy does an electric heater use?Since they convert all of the electricity they consume into heat, electric heaters are all believed to be 100% efficient, but this does not imply that their operating costs are low.
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Is gravitational potential energy a renewable or non-renewable?
Answer:
It is renewable.
Explanation:
The gravity of the earth is infinite and so it is renewable energy.
Gravitational potential energy is neither renewable nor non-renewable as it is a form of energy that exists due to the position of an object in a gravitational field. It is a type of potential energy that is associated with an object's position in a gravitational field and its mass. The amount of gravitational potential energy an object has depends on its mass, height above the reference level, and the strength of the gravitational field.
What is renewable or non renewable energy ?Renewable and non-renewable energy sources refer to the sources of energy that are used to generate electricity or power and are consumed over time. Examples of renewable energy sources include solar, wind, and hydropower, while non-renewable energy sources include fossil fuels such as coal, oil, and natural gas.
Therefore, gravitational potential energy is not considered a renewable or non-renewable energy source as it is not a source of energy that is harvested or consumed. Rather, it is a property of an object that can be converted into other forms of energy such as kinetic energy when the object falls or is released from its position in a gravitational field.
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Q4. State the energy transformations in the following cases.
a) electric iron __________ to __________
b) in lighting a candle ________ to _______
c) battery ___________ to ____________
d) boiling water on a gas hob _____ to ____
Which sectors have the highest Scope 3 emissions?
Burning fossil fuels for transportation, heat, and power is the main cause of human-related greenhouse gas emissions in the United States.
What are the top three emissions sources?Notes. About 76 percent of all greenhouse gas emissions are made up of CO2. Methane, which is mostly produced by agriculture, accounts for 16% of greenhouse gas emissions, while nitrous oxide, which is primarily produced by industry and agriculture, accounts for 6% of total emissions.
What does oil and gas scope 3 entail?Indirect emissions from the production of purchased energy are considered scope emissions. All indirect emissions that occur upstream and downstream in the reporting company's value chain and are not covered by scope 2 are referred to as scope 3 emissions. 2.
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a car and a truck are each traveling at 20.0 m/s, and the car is 25 m behind the truck. the car driver decides to pass the truck, and he steps on the gas, producing an acceleration of 3.0 m/s2 . (a) how long will it be before the car is alongside the truck? (b) how fast will the car be moving relative to the truck when they are side by side? (c) how far will the car travel while reaching the truck? (d) how far will the truck travel in the same time?
a) It will travel 4.082 seconds before the car is alongside the truck
b)The car be moving at a speed of 12.246 m/s relative to the truck when they are side by side
c)The distance travelled by car is 106.64 m
d)The distance travelled by truck is 81.64 m
What is meant by relative motion?
The motion of one body when compared to another which is considered to be fixed is known as relative motion.
Initial velocity of the car ,u₁ = 20.0 m/s
Initial velocity of the truck ,u₂ = 20.0 m/s
Initially the distance between the truck and the car, d = 25 m
acceleration of the car,a₁ = 3.0 m/s²
a) For the car to reach the truck in a time interval( t ) , the distance travelled by car in that time( s₁ ) should be 25m more than the distance travelled by the truck in the same time interval( s₂ )
⇒ s₁ = 25 + s₂
u₁t+ 1/2a₁t² = 25 + u₂t +0 ( by eqn of motion , s = ut + 1/2at²)
20t + 1/2 * 3 * t² = 25 + 20t
1/2 * 3 * t² = 25
t² = 50/3
t = √50/3
t = 4.082 s
Therfore, It will travel 4.082 seconds before the car is alongside the truck
b) Time taken for them to reach side by side ,t = 4.082 s
velocity of car at that instance , v₁ =u₁ + a₁t
v₁ = 20 + 3 (4.082)
= 20 + 12.246
∴ v₁ =32.246 m/s
relative velocity to the truck ,v₁₂ = v₁ - u₁
= 32.246- 20
= 12.246 m/s
Therefore the car be moving at a speed of 12.246 m/s relative to the truck when they are side by side?
c) Distance travelled by car , s₁ = u₁t + 1/2a₁t²
= 20 (4.082) + 1/2 * 3 * (4.082)²
= 81.64 + 25
=106.64 m
Therfore the distance travelled by car is 106.64 m
d) Distance travelled by the truck , s₂ = u₂t
= 20(4.082)
= 81.64 m
Therfore the distance travelled by truck is 81.64 m
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a student conducts an experiment in which an object is released from rest and falls to the floor. in the experiment, frictional forces cannot be neglected. the student uses experimental data to create two graphs. figure 1 is a graph of kinetic energy of the object as a function of time. figure 2 is a graph of the object-earth system’s gravitational potential energy as a function of time. how should the student use one or both graphs to determine how much the total mechanical energy changes after 5s ?
The required change in after 5 seconds Mechanical energy is 0.6J.
What is gravitational potential energy?Gravitational potential energy is the energy that an article has because of its situation in the gravitational field. The most well-known use of gravitational potential energy is for objects close to the outer layer of the Earth, where gravitational speed increase can be accepted consistent at around 9.8 m/s2. Since the no point of the gravitational likely energy anytime can be picked (like picking the no point of the direction framework), the possible energy at level h over that point is equivalent to the work expected to lift Become. Move an item up to that level with no net change in active energy. Since the power expected to lift it is equivalent to its weight, it follows that the gravitational potential energy is equivalent to its weight duplicated by the level lifted.
According to question:Mechanical energy = kinetic energy + Potential energy
So, After 5 seconds
Mechanical energy = 0.6 + 0
Mechanical energy = 0.6 J
Thus, change in Mechanical energy is 0.6J.
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What type of friction is sliding?
Sliding friction, also known as kinetic friction, is indeed a contacting force that opposes the motion of two items sliding against one another or between a body and a substrate.
How can kinetic friction be determined?
Ff=kFN F f = k F N, where k is the multiplier of frictional force and FN is the object's normal force, is the equation for kinetic friction.
Which four forms of kinetic friction are there?
The force that prevents one solid item from moving across another is known as friction. Surface tension, sliding friction, rolled tension, and fluid friction are the four main categories of friction.
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Why do water particles drift in a spiral shape in the direction of wave propagation?
What is the name of the electrical component used to measure the current in a circuit?
Ammeter is the name of the electrical component used to measure the current in a circuit.
What is ammeter?An instrument used to measure the current in a circuit is called an ammeter, which is short for ampere meter. Amperes (A) are units used to measure electric currents. The circuit in which the current is to be measured and the ammeter are linked in series to allow for direct measurement. A typical ammeter has a low resistance so that it won't significantly lower the voltage in the circuit being measured.Microammeters and milliammeters are terms used to describe devices that measure currents in the milliampere or microampere range. The Earth's magnetic field was necessary for the operation of the earliest ammeters, which were laboratory instruments. Improved instruments were created by the late 19th century that could be put in any orientation and permitted precise measurements in electric power systems. It is generally represented by letter 'A' in a circuit.For more information on ammeter kindly visit to
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classify each of the following amines as primary (1∘), secondary (2∘), or tertiary (3∘):
Amine classification: Primary, Secondary Amines, which are derivatives of ammonia, are categorized as primary (1°), secondary (2°), and tertiary (3°) based on how many hydrogen atoms in the ammonia molecule have been replaced by alkyl or aryl groups.
A primary amine is created when one alkyl group replaces one hydrogen atom in NH 3. primary, secondary, tertiary, or quaternary amine as 1o, 2o, 3o, or 4° (CH3)4N+ .
(C₂H₅)CHNH₂ N atom is directly connected with only one C atom (i.e. one alkyl group) So, it is a primary amine.
An intermolecular interaction involves primary and secondary amines. This is because the nitrogen in one molecule and the hydrogen in another molecule form a hydrogen bond. This intermolecular interaction is more prevalent in primary amines compared to secondary amines.
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Guidlines for replenishing fuel during endurance events includeA. consume 30 to 60 grams of carbohydrate per hrB. use only one type of carbohydrate to avoid gastrointestinal upsetC. use a protein supplement every 30 minsD. avoid fluid during exercise
The recommended range for refueling for endurance races is 30 to 60 grams of carbohydrates each hour.
The following are suggestions for refueling while exercising. Use a fat supplement every 30 minutes, and stay away from fluids while working out. During endurance activities, good hydration habits should be followed. eating liquids to make up for fluid lost during exercise and drinking freely for the 24 hours before to an event. Maintaining performance, preventing injury, and maintaining hydrate all depend on replacing lost salt from exercise. To figure out how much salt is lost during training, you don't need a sophisticated lab test. You ought to be able to avoid the dangers of sodium losses if you go by these recommendations and experiment to see what works.
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a) While riding a chair life to the top of a hill, a 54.8
kg skier gains a total of 4.22 x 10^5 J of gravitational
potential energy. Calculate the vertical distance the skier has traveled.
Vertical distance from the point of observation on the Earth's surface to the point being measured. Altitude: Vertical distance from mean sea level to the point being measured.
What is the formula of vertical distance?To calculate vertical distance, square the total distance, subtract the square of the horizontal distance from that result, then take the square root of this number.Gravitational potential energy is the energy possessed by a falling object due to virtue of its position.And we can think of the vertical distance as the change in and the horizontal distance as the change in . So, by the end of this lesson, what we hope you'll be able to do is find the horizontal or vertical distance between two points on the coordinate plane and find side lengths of shapes in the coordinate plane.All vertical lines are in the form x=a, where a is the x-intercept. To find the distance between two vertical lines, count the squares between the two lines. You can use this method for horizontal lines as well. All horizontal lines are in the form y=b, where b is the y-intercept.
gravitational potential energy = mass * acceleration due to gravity * height
gravitational potential energy = 55 * 9.8 * 370
gravitational potential energy = 539 * 370
gravitational potential energy = 199,430
Hence the total change in the skier's gravitational potential energy is 199,430Joules.
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By measuring the potential energy of an object relative to the ground, and the object's mass, you can calculate its speed when it hits the ground. Explain why you can do this.
Given that gravitational potential energy can become kinetic energy upon impact, you can determine the speed.
Total energy can be preserved in this way.
Kinetic and potential energy are equivalent.
We can calculate the velocity from this.
In this manner, we may observe the potential energy becoming kinetic energy.
A doubling in height will lead to a doubling in gravitational potential energy since an object's gravitational potential energy is directly proportionate to its height above the zero point. The gravitational potential energy will triple with a tripling of height.
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T/F observations in the x-ray portion of the spectrum are routinely done from the surface of the earth.
Observations in the X-ray portion of the spectrum are routinely done from the surface of the Earth is a false statement .
The electromagnetic spectrum's infrared region is where the earth emits the most energy. When the energy from the sun reaches the surface of the Earth, 49.4% of it is infrared radiation, 42.3% of it is visible light, and 8.3% of it is ultraviolet radiation.After being received from the sun, energy is reflected back into the atmosphere ( in the form of light ). The energy radiated by the Earth is significantly weaker than the Sun because it is much cooler. As a result, it emits infrared radiation ( long wavelength )As a result, the planet emits the most energy in the infrared region of the electromagnetic spectrum is correct statement .
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ezrah attached a baseball to a small rope that is 0.50 meters in length. He then began spinning the string with rotational speed of 2.0 rotations per second. predict how to tangential velocity of the ball would change if ezrah reduced the length of the rope to 0.25 meters and rotational speed is help constant
if Ezra reduced the length of the rope to 0.25 meters and rotational speed is held constant, There is a change of 3.14 m/sec in the velocity when length of rope is reduced from 0.50 to 0.25 m.
What is rotational speed?The no. of revolutions made by a rotating object in a given defined time is termed as rotational speed.
Solution:
Given:
initially length of rope i.e. R = 0.50m
2 rotations per second = 1 rotation =0.5 sec= T
now after changing ropes length R=0.25 m
Initially velocity of the ball rotating on R =0.50m
⇒v=2πR/T
⇒v=2*3.14*0.50/0.5
⇒v=6.28 m/sec
6.28 m/sec is the velocity of the ball rotating on R =0.50m.
Now to find the velocity of the ball rotating on R =0.25m we use the following eq.
⇒v=2πR/T
⇒v=2*3.14*0.25/0.5
⇒v=3.14 m/sec
3.14 m/sec is the velocity of the ball rotating on R =0.25m
Hence, there is a change of 3.14 m/sec in the velocity when length of rope is reduced from 0.50 to 0.25 m.
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What are the benefits of wind and solar?
As they lessen reliance on combustion-based electricity generation, wind and solar energy boost air quality, public health, and greenhouse gas emissions.
What are three advantages of solar energy?Solar energy has advantages as a renewable energy source. The fact that solar energy is a completely renewable energy source is the most significant of all the advantages of solar panels. Reduces electricity costs and has many uses. Costs of maintenance are low.
What advantages do solar panels offer?A clean, emission-free, and sustainable energy source is home solar power. Home solar energy, as opposed to fossil fuels like coal and natural gas, doesn't emit hazardous pollutants or greenhouse gases like carbon dioxide into the air and water supplies.
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the equipment you have to use is a force sensor, multiple carts, multiple masses, multiple springs, a track and some clamps. by putting the cart in motion and observing the oscillation we can see the reduction in amplitude over time and use that to model the decaying amplitude. that model will allow us to evaluate b for the oscillation. our guided question is: is the damping coefficient of a spring-cart system independent of mass?
Yes, the damping coefficient of a spring-cart system independent of mass. Mass doesn't affect the damping coefficient (since that is assumed constant).
Damping coefficient - The system’s damping coefficient is a measure of how quickly it returns to rest as the frictional force dissipates its oscillation energy.
Damping is experienced by most oscillatory systems such as harmonic oscillators. These systems, when displaced from their equilibrium position, experience a restoring force proportional to their displacement. If a frictional force proportional to the velocity is also applied, the system exhibits damped harmonic oscillation. In a damping phenomenon, the amplitude of the oscillation is decreasing gradually instead of sudden decreasing. When there is a damping in the system then the amplitude decreases and the period increases.
So, We can see that mass will absolutely affect the damping ratio, but not the damping coefficient (since that is assumed constant).
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two people are pulling on the ends of a rope. each person pulls with a force of 100 n. the tension in the rop is:
Option C 100 N is correct. Given that no element of the system is in motion, a person pulling with 100 N of force at either end of the rope is met with a 100 N tension in the rope.
Because the rope is subjected to the same pulling force on both sides, it is in a state of static equilibrium (i.e. it is at rest consequently has a net force of zero). Tension on a rope will be zero if it is pulled from its ends by two opposing forces of 100N each since both forces have identical magnitude but operate in different directions on the same body and cancel each other out.
The complete question is- Two people are pulling on the ends of a rope. Each person pulls with a force of 100 N. The tension in the rope is:
A 0 N
B 50 N
C 100 N
D 141 N
E 200 N
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just as a traffic light turns green, a waiting car starts off with a constant acceleration of 6.0 m/s2 . at the instant the car begins to accelerate, a truck with a constant velocity of 21 m/s passes in the next lane. (a) how far will the car travel before it overtakes the truck? (b) how fast will the car be traveling when it overtakes the truck?
(a) The car travels a distance of 147 m before it overtakes the truck.
(b) At the moment when car overtakes the truck, the speed of car was 21 m/s
Let us assume that the time taken by the car to overtake the truck = t seconds
Now calculating the distance travelled by car and truck during this time,
Using the kinematic equation for calculating the distance travelled by car and the truck:
The distance travelled can be computed by the relationship [tex]s= 0.5at^2[/tex]
Distance travelled by car will be [tex]S_{car} =0.5 \times 6\times t^2=3t^2 \:m[/tex]
Distance travelled by truck will be [tex]S_{truck}=21 \times t = 21t \:m[/tex]
At the instant of overtaking
Distance travelled by car = Distance travelled by truck
[tex]3t^2 = 21t\Rightarrow t = \frac{21t}{3t}=7\:sec.[/tex]
So, the distance travelled by car before it overtakes will be 3*7*7 = 147 m
(b) As Car have crossed the truck in 7 sec. after covering a distance of 147 m.
So, at the moment of overtaking the truck the speed of the car will be = 147/7 = 21/s
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What is the mathematical relationship between the velocity of the sound v its wavelength λ and its frequency f?
The mathematical relationship between the velocity of sound, its wavelength, and its frequency is represented by the equation v = fλ, where v is the velocity of the sound, f is the frequency of the sound, and λ is the wavelength of the sound.
What is velocity?Velocity is a measure of how quickly something is moving in a given direction. It is a vector quantity, meaning it has both magnitude and direction. Velocity is typically expressed in units of distance per unit of time, such as meters per second (m/s). Velocity is a measure of how quickly an object is changing its position relative to its surroundings.
This equation is known as the wave equation and is a fundamental concept in physics. It states that the velocity of a wave is equal to the product of its frequency and wavelength.
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What is the frequency symbol?
Answer: f
Explanation:
It's just 'f'
Which objects cannot be observed in detail without a microscope? choose more than one answer.
Virus
Explanation:
Virus is 20 to 100 times smaller than bacteria
Bacteria are larger than virus
How long will it take for a radioactive sample to decrease to 25% if its half-life is 11 years?
If the half-life of a radioactive sample is 11 years, it will take 37.06 years for the sample to decay to 25%.
What number of half lives have passed if there is 25% radioactivity left?Cobalt-60 has a half-life of 5.27 years, meaning that 50% of it is still present after that time (one half-life), 25% is still present after that time (two half-lives), 12.5% is still present after that time (three half-lives), and so on.
How long will it take 131 I sample to decay by 50%?Iodine-131, for instance, is a radioisotope with an 8-day half-life. By emitting beta particles, it decomposes into xenon-131. Any sample of iodine-131 will have half of its atoms destroyed after eight days.
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Is waste a Scope 3 emission?
The Greenhouse Gas Protocol defines scope 3 emissions from waste as emissions from the disposal and treatment of all waste streams produced as a result of the operations of the institution, including the treatment of both solid waste and wastewater.
Waste: Is it an emission?Methane emissions from solid waste decomposition in landfills, biological treatment of solid wastes, waste incineration and burning, wastewater treatment and discharge, and other sources are examples of waste emissions.
What does a scope 3 carbon and mission look like?Although they emanate from sources that the company does not own or control, scope 3 emissions are a byproduct of corporate operations. The extraction and manufacturing of purchased materials and the transfer of purchased fuels are two examples of activities in scope 3.
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What is the meaning of primordial heat?
Answer:
The primordial heat of a planet is the heat caused by the dissipation of heat energy accumulated during its first few million years. Accretion energy is the energy deposited by infalling planetesimals and differentiation energy is the energy deposited by separating planetesimals.
Two blocks X andY of weights 8 N and 2 N
respectively are suspended by two strings as
shown. A downward force of 4 N is applied to Y.
Find the tensions T1 and T2 in the two strings.
Explanation:
are A and B really the only options ?
because they are wrong.
on T1 everything hangs : x and y and the additional 4 N.
T1 = 8 + 2 + 4 = 14 N
on T2 only the weight of y and the additional 4 N pull down.
T2 = y + 4 = 2 + 4 = 6 N
Describe the forces acting on a car as it moves along a level highway in still air at a constant speed.