Torque and work have the same dimension formula but only work is expressed in the SI unit of Joule. Torque is a vector quantity and work is a scalar quantity.
Torque in angular motion is equivalent to what force is in linear motion. In other words torque cause the angular change in and makes the object to rotates in a circular path around its own axis of rotation. It is formulates as T = F ×R. Where F is the force, R is the radius of circular path. its dimension will be [MLT⁻²] × [L] = [ML²T⁻²].
On the other hand, work is the product of force vector(F) and displacement vector(d). Work is said to be done when the object gets displaced in the direction of the force applied. Its SI unit is Joule.
W = F × d × sinθ
Where θ is the direction of force with respect to the displacement.
Its dimension would be, T = [MLT⁻²] × [L] = [ML²T⁻²]
So the dimension formula for both will be the same.
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What comes to mind when you hear the term acid?
A Brnsted-Lowry acid or Lewis acid is a molecule or ion that can either donate a proton (the hydrogen ion, H+) or establish a covalent bond with an electron pair.
What is acid?Proton donors, also known as Brnsted-Lowry acids, are the first class of acids. Proton donors, also referred to as Arrhenius acids, generate the hydronium ion H3O+ under the unique situation of aqueous solutions.
The Arrhenius theory was expanded upon by Brnsted and Lowry to take non-aqueous solvents into account.
A hydrogen atom is typically bound to a chemical structure in a Brnsted or Arrhenius acid that is still energetically advantageous after the loss of H+. Aqueous Arrhenius acids have distinguishing characteristics that serve as a useful definition of an acid.
Therefore, A Brnsted-Lowry acid or Lewis acid is a molecule or ion that can either donate a proton (the hydrogen ion, H+) or establish a covalent bond with an electron pair.
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find the magnitude of the resultant force and the angle it makes with the positive x-axis.
In order to find the magnitude of the resultant force and the angle it makes with the positive x-axis, you will need to know the magnitudes and directions of the individual forces acting on the object, as well as their point of application.
This information can then be used to calculate the vector sum of the forces using vector addition. The magnitude of the resultant force can be found using the Pythagorean theorem, and the angle it makes with the positive x-axis can be found using trigonometry.
To find the magnitude of the resultant force, you can use the Pythagorean theorem to calculate the length of the hypotenuse of a right triangle formed by the individual forces. The magnitude of the resultant force is equal to the square root of the sum of the squares of the magnitudes of the individual forces.
To find the angle that the resultant force makes with the positive x-axis, you can use trigonometry. The angle is found by taking the arctangent of the y-component of the resultant force divided by the x-component of the resultant force.
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Read the following scenario and explain (1)whether all the elements of a
negligent tort are present. If not, what elements are missing? (2) Who is a
fault and why? Scenario: Jenny is driving her car and rocking out to loud
music. She does not hear the siren from the ambulance driving down her
lane until the ambulance is just 15 feet from her. As soon as she notices
the ambulance she swerves to the side of the road without checking her
blind spot. She runs into Michael who was in the bicycle lane next to her.
Your answer
To win a driver negligence claim, the victim (plaintiff) must prove four things: OBLIGATIONS, BREACH OF DUTY, CAUSE OF INJURY AND DAMAGE.
What is breach of duty?A breach of duty occurs when there is a duty of care that is not complied with. Breach of duty is an important part of negligence cases. For example, you have a duty to warn other drivers to drive below the speed limit and to warn other drivers not to drink and drive.If you violate this obligation by exceeding the speed limit or driving under the influence of alcohol. A breach of duty occurs when there is a duty of care that is not complied with. Breach of duty is an important part of negligence cases. For example, you have a duty of care to other drivers who drive below the speed limit and a duty of care not to drink and drive.To learn more about breach of duty from the given link:
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What is the formula of linear momentum Class 9?.
P = mv is the equation for linear momentum. Conservation of momentum refers to the fact that the overall amount of momentum remains constant.
Where does momentum exist in the real world?Momentum underpins almost all motion-based actions. This principle of physics is crucial. Momentum is a word frequently used in sports. It will be challenging to stop a team that is moving forward, for example.
What is the meaning of momentum?exclusive nouns Momentum is referred to as a momentum. force, speed, or impulse, as to a material entity or series of events: The car accelerated down and accelerated.
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What are the three parts of a proof?.
Induction proofs always include three components. The foundation, inductive hypothesis, and inductive step are these.
What Makes a Two-Column Proof?1) Mathematical statements are written in the first column.
2) You should list the justifications for your statements in the second column.
3) The sentences are numbered and are presented in a logical sequence.
Any evidence must have both statements and reasons, which are its two essential parts. The statements are the assertions you make throughout your proof that lead to the conclusion that you are trying to support. a methodical explanation that leads to a conclusion concerning a geometric assertion using definitions, axioms, postulates, and previously established theorems. Direct proofs and indirect proofs are the two main categories of proof.
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How many moles are present in 10. 0 grams?.
In this case, 0.25 moles are present in 10 gram.
The amount of moles in 10 g of sodium hydroxide (NaOH) is known to be 0. NaOH equals 0.25 moles in a mole. Inferred from the query that In 10, 0 grams of sodium hydroxide.
How many moles are there? (NaOH ) : You must adhere to the grams to moles formula in order to accurately calculate the number of moles, n, of a substance with a given mass, m, (in grams): The molar mass of this substance is M, and n = m / M.
NaoH = 40 is typically used to calculate sodium hydroxide's molar mass.
moles = 10 /40 = 0.25
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Why the tools meant for cutting and piercing always have sharp edges
The tools meant for cutting and piercing always have sharp edges because they have less area of contact.
Less area of contact means that the tools can apply more pressure while cutting. It also becomes easier as the surface area is less, more pressure will be applied on the object.
According to the formula P= F/A, force is directly proportional to the pressure, and according to the theory of less area of contact, cutting tools always have sharp edges not blunt edges.
For example, tools used for cutting edges such as blades, knives, etc., are provided with sharp edges to cut things easily.
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Two 12-2 AWG and two 14-2 AWG nonmetallic-sheathed cables enter a box. Each cable has an equipment grounding conductor. The 12 AWG conductors are connected to a receptacle. Two of the 14 AWG conductors are connected to a toggle switch. The other two 14 AWG conductors are spliced together because they serve as a switch loop. The box contains two cable clamps. Calculate the minimum cubic-inch volume required for the box
The total number of conductors, the kind of cable clamps being used, and any additional devices in the box must all be taken into account when determining the minimum cubic-inch capacity needed for the box.
In this case, you have two 12-2 AWG and two 14-2 AWG nonmetallic-sheathed cables, which means a total of 8 conductors.
The two 14-2 AWG conductors are spliced together and serve as a switch loop, so they count as 2 conductors.
The 12-2 AWG conductors are connected to a receptacle, which is 2 conductors. The two 14-2 AWG conductors are connected to a toggle switch, which is 2 conductors.
The minimum cubic-inch volume required for the box is determined by the National Electrical Code (NEC). According to the NEC, the minimum box volume for 8 conductors is 18 cubic inches.
This is based on the assumption that cable clamps are used and that the box is not crowded with any other devices.
In conclusion, the minimum cubic-inch volume required for the box in this scenario is 18 cubic inches.
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Is reduce latency and improve performance good?.
Reducing server latency means your web resources load faster and improve overall page load times for your visitors.
High latency causes time delays and makes the game unenjoyable. Low latency is ideal as it means you can experience/performance smoother gameplay. In general, acceptable latency (or ping) is 40-60 milliseconds (ms) or less, but speeds over 100ms usually mean noticeable delays while gaming. Low\reduced latency means there is a strong and reliable network connection, reducing the chance of connection loss or delays. Latency refers to the delay in time, so good network latency means low latency. Longer response time (higher latency).
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A car slams on its brakes creating an acceleration of -3.2 m/s2. It comes to rest after traveling a distance of 210 m. What was its velocity before it began to accelerate?
The answer should be 36.6 m/s -Show work!
The velocity of the car before it began to accelerate is 36.6 m/s.
What is the initial velocity of the car?
The initial velocity of the car is calculated by applying the third kinematic equation.
v² = u² - 2as
where;
v is the final velocity of the caru is the initial velocity of the cara is the acceleration of the cars is the distance travelled by the carWhen the car stops, the final velocity, u will be equal to zero.
v² = u² - 2as
0 = u² - 2as
u² = 2as
u = √ (2as)
u = √ ( 2 x 3.2 x 210 )
u = 36.6 m/s
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there are various stages in the formation of coal as heat and pressure are increased and moisture content is decreased. these stages, in order, are
The correct order of coal formation is a) Peat b) lignite c) bituminous coal and d) Anthracite.
All the stages of coal formation depend on the conditions in which the plant was buried.
Peat: This is the stage-1 process of coal formation, when the decomposition of the plant of takes place in the absence of oxygen. e.g.:- underwater. This leads to the presence of organic content in the coal.
Ligament: It is when buried plant is subjected to the increased vertical pressure from continuously accumulating sediments.
Bituminous coal: it is the third stage in which plant traces gets disappeared. It is mostly used as a source of heat energy.
Anthracite: it is the 4th stage, in which coal becomes "hard coal" due to the presence of high heat and high pressure. it burns with short flames and less smoke.
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A force of 20.0 N is applied to a 3.00 kg object for 4.00 seconds. Calculate the impulse experienced by the object
The impulse experienced by the object is 80.0 N-second.
What is impulse?In physics, the term "impulse" is used to characterize or measure the impact of force operating gradually to alter an object's motion. It is often stated in Newton-seconds or kilograms per second and is denoted by the symbol J.
Mass of the object = 3.00 kg
Time interval = 4.00 seconds
Force applied = 20.0 N
Hence, the impulse experienced by the object is = 20.0 N × 4.00 seconds
= 80.0 N-second.
So, the impulse experienced by the object is 80.0 N-second.
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Joshua's Subaru Forrester was detected exceeding the posted speed limit of60 kilometers per hour, how many kilometers per hour would h ehave been traveling over the limit if he had covered the a distance o f1 0 kilometers in 0.1 hours? If you want to express this value as a velocity, what other information would you need to provide?
6.2137119 miles per hour is equal to 10 km/h. (8 digits rounded) Speed is measured in kilometers per hour.
What additional information is needed for velocity that is not needed for speed?Distance must be known in order to calculate velocity, but not the other way around. Speed does not take into account the direction in which an object is moving, whereas velocity does. Velocity does not take into account the amount of time it took an object to traverse; speed does.According to the equation v = s/t, velocity (v) is a vector quantity that quantifies displacement (or change in position, s), over change in time (t). Speed (or rate, r) is a scalar number that represents the amount of time (t) spent travelling over the distance (d), as shown by the equation r = d/t.An object's velocity is its rate of movement in a specific direction. These cars' velocities may be comparable despite their speeds.To learn more about kilometers refer to:
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Light can travel through materials that you cannot see through, like wood or aluminum foil.
It is accurate to say that light can pass through opaque materials like wood and aluminum foil.
Describe light.Electromagnetic radiation that appears to human eyes as light. The spectrum of electromagnetic radiation's wavelengths is very wide. Light carries information about time and space. For the study of optics, optical communications, and a wide range of other related, both established and emerging technologies, this characteristic serves as the fundamental building block.
Examples of technologies that manipulate light include lasers, holography, and fiber-optic communication systems. In a vacuum, all forms of light travel at the same speeds as the electromagnetic spectrum, of which only a small portion is visible to humans. Furthermore, it is without a doubt possible for non-visible light to pass through wood, including radio waves, x-rays, and photons with gamma energy.
Because of this, it is true that light can pass through opaque materials like wood and aluminum foil.
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Complete question " TRUE OR FALSE Light can travel through materials that you cannot see through, like wood or aluminum foil".
What is the rate of acceleration of the object between 0 and 4 seconds?.
Between 0 seconds and 4 seconds, the object rate of acceleration is 1 m/s². Thus, the correct answer is D.
The rate of acceleration of an object can be calculated by using the formula:acceleration = (final velocity - initial velocity) / time.In this case, the initial velocity is 1 m/s, the final velocity is 5 m/s, and the time is 4 seconds. Therefore, the calculation would be:
acceleration = (5 - 1) / 4 acceleration = 1 m/s²This means that the object is accelerating at a rate of 1 m/s² between 0 and 4 seconds. This can also be visualized as the object's velocity increasing by 1 m/s every second.
This question should be provided with answer choices, which are:
A. 1 m/sB. 0 m/s²C. -1 m/s2D. 1 m/s2The correct answer is D.
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What are the disadvantages of ballistic stretches?.
The biggest drawback of ballistic stretching, aside from the risk of damage, is that it doesn't give the stretched muscle enough time to adjust to the extended position.
Instead can make the muscles tighten up by continually inducing the stretch response (or myotatic reflex). Overstretching or bouncing might be detrimental. Microtrauma or rips in the muscles or connective tissue may result from it. As a result, this can produce a flaw that manifests itself later on in the run. Stretching should be done for a set amount of time, usually between 5 and 10 minutes.
Reduced maximal strength when done before strength training; decreased long-term training benefit when done before or during strength; increased chance of injury when done before strength or endurance training.
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What is the SI unit of gravitational force and gravity?.
The SI unit of measurement for gravity is called a newton since it is a force (N). The force required to accelerate a body with a mass of 1 kg by 1 m/s² is known as a newton.
The weight of an object determines how much gravitational pull it has on the Earth. An object's weight is the force acting on it in a gravitational field, and its mass is regarded as a measure of that object's inertia. The acceleration caused by gravity connects the two forces when they are applied to Earth's surface. Fg = mg.
The work (or energy expended) by a force of one newton (N) operating over a distance of one meter is equivalent to one joule (m). A force of one newton causes a mass of one kilogrammes (kg) to accelerate by one meter per second (s) per second. So, one joule is equivalent to one newton metre.
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Kristen's calculations involving lobsters found that the averagelobster, when placed on the ground, was able to cover 20 centimeters in 5 seconds, what was the average speed of the lobster?
Answer:
4 cm/s
Explanation:
Speed = distance over time
What is the coefficient of gravity?.
The gravitational coefficient (g = 9.8) is a metric used in physics to express the intensity of gravitational interactions between mass-containing objects. In the real world, this amount never changes.
On Earth, gravity (or the acceleration brought on by gravity) equals 9.81 meters per second squared due to the size of the planet and the distance between its surface and its center. The gravitational constant of the Earth is 9.8 meters per second squared.
The acceleration due to gravity is 9.81 meters per second squared. The gravitational constant, denoted by the capital G, is a physical empirical constant that is used to compute the gravitational effects in both Sir Isaac Newton's law of universal gravitation and Albert Einstein's theory of general relativity.
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What is the relationship between force lever and angle torque?.
The relation between the force and the angle is given by the formula, τ = r × F, where, r is the perpendicular distance, F is the force.
It is also described as the cross product of distance vector and force vector. Mathematically, τ = r × F = r F sinθ, where, θ is the angle between r and F.
For example, a force is applied to a particle free to rotate about a fixed axis. Force is divided into perpendicular and parallel components. Torque is pointed outward from the page and has the magnitude
τ = r F sinθ.
Newton-meters, sometimes known as N.m, are the SI units for torque. Although these units are the same as joules, torque isn't considered to be work or energy, therefore N.m should be used instead.
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Which example provides a complete scientific description of an object in motion? question 7 options: the hiker followed the north trail a distance of two kilometers in thirty minutes. The tiger had to run at 50 kilometers per hour across the field to catch the zebra. The hockey player sent the puck flying toward the north goal to score the winning point. The vibration of the jackhammer broke through the south-facing rock in under 10 seconds.
Answer: Thus, the correct option for this question is D.
What do you mean by Motion?
--A Motion may be characterized as a type of phenomenon through which an object or thing may change its position with respect to the time duration.
-- Physically, it may be defined in terms of displacement, velocity, acceleration, speed, etc.
--The vibration of the jackhammer broke through the south-facing rock in under 10 seconds describes the process of oscillation.
-- The hockey player sent the puck flying toward the north goal to score the winning point illustrating the force.
--The tiger had to run at 50 kilometers for an hour across the field to catch the zebra deals with the motion but in future. But now, a tiger is in the rest state.
Therefore, the correct option for this question is D.
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A 45-kg boy is riding a 15-kg bicycle with a speed of 8 meters per second. What is the combined kinetic energy of the boy and bicycle?.
The sum of the kinetic energy of the boy and the bicycle is 1920 J.
Given data:
Boy's weight is m=45.0kg
The mass of the bike is M = 15.0 kg.
The speed of the bicycle is v = 8.00 m/s.
The kinetic energy of an object is defined as the energy that an object has due to its motion. The combined kinetic energy of the boy's bicycle system is given by:
KE= 0.5 (m+M) v²
Resolve by replacing the values with:
KE = 0.5 (45 + 15) * 64 joules
ke=1920
From this we can conclude that the combined kinetic energy of the boy and the bicycle is 1920 J.
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Determine the magnitude and coordinate direction angles of the resultant force acting on the bracket?
For force F2 cos2 c + cos2 c + cos2 45 + cos2 * 60 = 1 cos c = 0.5 c = 60 degree, force F1 = 450 * (cos(45) * cos(30) j - cos(45) * sin(30) i + sin(45) k).
What is a force in science?
In science, the term "force" has a particular definition. At this point, describing a force as a push or a pull is perfectly acceptable. There is no such thing as a force that an object "has in it" or "contains." A force is applied to one thing by another.
What different types of force are there?
A force is a push or pull that an object feels as a result of interacting with another object. The Force of Friction is one of many forces. Tension force Standard Force.
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For full question refer the image.
find the ratio of acceleration due to gravity of two planets if their radii are in ratio of 1:3
Answer:
Ratio of g = 9:1
Explanation:
Given,
The ratio of the radius of planets = 1:3
let the mass of the planets be M
We can say that,
The radius of planet 1 = 1x
The radius of planet 2 = 3x
We know that g = GM/[tex]R^{2}[/tex]
g on first planet = GM / [tex]x^{2}[/tex] , g on second planet = GM/ 9[tex]x^{2}[/tex]
g on first planet: g on second planet = GM/[tex]x^{2}[/tex] * 9[tex]x^{2}[/tex] / GM
= 9:1
What phase is it when molecules move away from each other?.
When molecules are in the gaseous phase they tend to move away from each other as no intermolecular forces is acting upon them.
Particles in a gaseous phase are well separated with no regular arrangements. The gas particles vibrate and move freely at very high speeds.
The states of matter depends on the balance between the kinetic energy of the individual particles (atoms or molecules) and the intermolecular forces. the kinetic energy keeps the molecules apart and moving around, and is a function of the temperature of the substance and the forces try to draw the particles together.
Heating and cooling can also change the kinetic energy of the particles in a substance and so it can be said that we can change the physical state of a substance by changing its temperature.
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A 0.003 kg copper penny drops a distance of 50.0 m to the ground
If 65% of the initial potential energy goes into increasing the
internal energy of the penny, determine the magnitude of the
increase.1
As per the law of conservation of energy, since the work done on the object is equal to m×g×h, the energy gained by the object = m×g×h, which in this case is the potential energy E.
The force acting on the two objects affects the potential energy formula. The formula for gravitational force is P.E. = mgh, where g is the acceleration caused by gravity (9.8 m/s2 at the earth's surface) and h is the height in metres.
Similar to this, when a spring is moved away from its equilibrium position, it gains some energy, which we can notice by the stress our hands experience when we stretch it. Potential energy is a type of energy that arises from a change in its position or state, according to our definition.
Let's learn the formula, unit, and examples of potential energy after understanding potential energy and what it means.
m is the mass in kilograms
g is the acceleration due to gravity
h is the height in meters
Potential Energy Unit
Gravitational potential energy has the same units as kinetic energy: kg m2 / s2
Note: All energy has the same units – kg m2 / s2, and is measured using the unit Joule (J).
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A heater marked 60W evaporates
6x10-³ kg
of boiling water in 60 seconds. What is the
specific latent heat of vaporization of water in
Jkg
Answer:
L = E / M energy input / water evaporated (J/kg)
E = 60 J / s 60 J input in 1 sec
L = 60 J / (.006 / 60) kg = 600,000 J / kg
The specific latent heat of the vaporization of water is 6×10⁵ J/kg.
The amount of heat required to evaporate a certain mass of water can be calculated using the formula:
Q = ml
where Q is the heat required, m is the mass of water evaporated, and l is the specific latent heat of vaporization of water.
In this problem, we know that a heater with a power output of 60W evaporates 6x10⁻³ kg of boiling water in 60 seconds. We can calculate the amount of heat supplied by the heater using the formula:
Q = Pt
where P is the power of the heater and t is the time for which it is operating. Substituting the given values, we get:
Q = 60 W × 60 s
Q = 3600 J
We can now calculate the specific latent heat of the vaporization of water by rearranging the formula:
l = Q/m
Substituting the given values, we get:
l = 3600 J / (6×10⁻³kg)
l = 6×10⁵ J/kg
Therefore, the specific latent heat of the vaporization of water is equal to 6×10⁵J/kg.
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How do you memorize Newton's laws?.
Newton's 1st, 2nd, 3rd, and 4th laws are 1) Law of inertia 2) Force's law and 3) Action-reaction relationship.
Newton's 1st law is also called the law of inertia. A balling rolling on the ground stops after some time due to the opposite force of friction working between the ball and the ground.
Newton's 2nd law of force states that the rate of change of momentum of an object is equal to the force applied by the object. When a bullet is fired from a gun change in the momentum of the bullet generate the force that cause the bullet to be fired and to generate the recoil velocity in the gun.
Newton's 3rd law states the action-reaction relationship. When a rocket is launched from the earth, it applies a force on the ground that generate the enough reaction force that causes the rocket to generate orbital velocity.
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Sunlight is reflected, absorbed, and transmitted by earth's atmosphere. Which are the chief constituents of the electromagnetic energy that reaches earth's surface? select the two correct answers. (1 point).
Sunlight is reflected, absorbed, and transmitted by Earth's atmosphere. Which are the chief constituents of the electromagnetic energy that reaches Earth's surface is Ultraviolet Light and Visible Light.
What is solar radiation?The three forms of solar radiation—visible, ultra violet, and infrared—are separated based on their wavelength and intensity.
Visible radiationSince radiation is visible to people, it has a name. It focuses a lot of the energy from the sun and is the most basic type of electromagnetic radiation.
Ultraviolet radiationThe least quantity of solar energy is present in ultraviolet rays. Because of its shorter wavelength, it is not visible.
Infrared radiationNearly 50% of solar energy is included in infrared radiation, which is likewise invisible to humans. It is longer than light since its length ranges from 780 nanometers to 1 millimeter.
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The complete question is as follows:
Sunlight is reflected, absorbed, and transmitted by Earth's atmosphere. Which are the chief constituents of the electromagnetic energy that reaches Earth's surface? Select the two correct answers.
Radio Waves
Ultraviolet Light
Far Infared (lower energy Infared)
Near Infared (higher energy Infared)
Visible Light
What are the 3 methods for solving equations?.
3 methods of solving an equation are 1) Graphical method 2) Substitution method 3) Cross multiplication method.
Graphical method: To solve linear equations graphically, first draw the graph for both equations in the same coordinate graph and locate the intersection point on the graph.
Substitution method: To solve a linear equation using this method, first, take the value of one variable separately from any of the equations. Then, substitute the value of this variable in the second equation and solve it.
Cross multiplication method: Linear equations can be easily solved using this method. In this technique is used to simplify the solution. Following formula is used for solving 2 variable equation:
x /(b₁ c₂ − b₂ c₁) = y / (c₁ a₂ − c₁ a₁) = 1 /(b₂ a₁− b₁a₂)
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