The formula for gravitational force between two objects is given as the product of gravitational constant and masses of the two objects, divided by the square of distance between the two objects.
The formula is given as:
= F = (G X M X m) / r²
where,
Force = F
Gravitational Constant = G
Mass of one object = M
Mass of another object = m
Distance = r
According to Newton's universal law of gravitation, The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.
The force of attraction on a body by earth is called gravitational force. Example : The leaves and fruits fall from a tree downwards towards the ground.
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A 10-kg block on a rough horizontal surface is attached to a light spring (force constant = 1. 4 kn/m). The block is pulled 8. 0 cm to the right from its equilibrium position and released from rest. The frictional force between the block and surface has a magnitude of 30 n. What is the kinetic energy of the block as it passes through its equilibrium position?.
To develop this problem it is necessary to apply the concepts related to the conservation of Energy. In this case the definition concerning kinetic energy from the simple harmonic movement.
Where,
KE = PE8 + Wf
KE = 1/2KA² + Wf
KE = Kinetic Energy
PE8 = Potential Harmonic Simple Energy
Wf = Work made by friction.
Our values are given as,
m = 10Kg ⇒ mass
k = 1400N/m ⇒ Spring constant
A = 0.1m ⇒Amplitude
f = 30N Frictional Force
Replacing we have,
KE = 1/2 ka² +Wf
KE = 1/2(1400)×(0.8)²+(-30×0.8)
KE = 4245
Therefore the Kinetic Energy of the block as it passes through its equlibrium position is 4245J.
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A rugby player runs with the ball directly toward his opponent's goal, along the positive direction of an x axis. He can legally pass the ball to a teammate as long as the ball's velocity relative to the field does not have a positive x component. Suppose the player runs at speed 5.9 m/s relative to the field while he passes the ball with velocity vector v BP relative to himself. If vector v BP has magnitude 7 m/s, what is the smallest angle it can have for the pass to be legal?1° (relative to +x axis)
If he passes the ball with a velocity vector v BP relative to himself, and v BP has a value of 7 m/s, then the least angle it can have is 32.5 °.
A player runs at a speed relative to field is v1 = 5.9 m/s
A player runs at a speed relative to himself is v2 = 7 m/s
v = v_1 +v_2
= 5.9 m/s + 7.0 m/s
= 12.9 m/s
smallest angle by which the player hits the ball is θ = cos^-1 ( 5.9 / 7.0)
= 32.5 degrees
Velocity is the rate at which an object is changing position when it is observed from a certain point of view and as measured by a particular unit of time. It is defined as the direction at which an object is traveling. Speed is the rate of movement along a path in contrast to velocity, which specifies the direction and speed of an object's motion.
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What is dramatic irony short answer?
A literary device known as dramatic irony occurs when the audience or the reader has a better understanding of the events or characters in a work than the characters themselves.
What is dramatic irony, and how can you spot it?dramatic irony Add to list Share. Dramatic irony is when a character in a Titanic movie leans on the balcony and exclaims, "It's so beautiful I could just die," immediately before the ship hits the iceberg. Dramatic irony arises when the audience is aware of information that the characters are not.
Why is it dramatic irony?Dramatic irony occurs when the audience is aware of a situation before some of the players are. This knowledge frequently creates a sense of suspense since we know the character(s) will eventually discover the truth.
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Objects a and b each have a mass of 25 kilograms. object a has a velocity of 5.98 meters/second. object b is stationary. they undergo a perfectly elastic collision in one dimension. what is the total kinetic energy of the system after the collision?
a. 1.2 × 102 joules
b. 4.5 × 102 joules
c. 5.0 × 102 joules
d. 9.5 × 102 joules
e. 1.1 × 103 joules
The total kinetic energy of the system after the collision will be 4.5 ×10^2 Joules
Option (B) is the correct choice.
An elastic collision is one in which the system does not experience a net loss of kinetic energy as a result of the collision.
In elastic collisions, momentum and kinetic energy are both preserved.
Imagine two trolleys that resemble one another moving in the same direction at the same pace. They clash, maintaining their speed as they bounce off one another. The fact that no energy has been wasted makes this collision fully elastic.
Therefore, to calculate the kinetic energy of the system after the collision
We will use the formula 1/2 mv²
Mass = 25 kg
Velocity = 5.98 m/s
So, the value of KE = 1/2 × 25 × 5.98 ² = 447 Joules = 4.5 ×10^2 Joules (Approximately)
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What are period 2 elements called?
Period 2 elements are called as Bridge elements.
When we go through the detailed analysis of the periodic table we get that the elements like Li, Be, B, C, N, O, F, and Ne are the elements which are in the second period of the periodic table.
Such elements have similar qualities and can be compared to those from the third period or the usual elements. The elements of period 2 have common traits on the basis of factors like ion polarization and electronegativity with the elements of period 3.
Due to this distinct behaviour, such elements are named "bridge elements"
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what is the volume of 19.6 g of a liquid that has a density of 0.967 g/ml?
The volume of the liquid is 20.26ml.
Volume is a measurement of three-dimensional space that is occupied. Numerous imperial or US customary units, as well as SI-derived units (such the cubic metre and liter), are frequently used to quantify it numerically (such as the gallon, quart, cubic inch).
We are given that,
Mass = m = 19.6g
Density = d = 0.967 g/ml
To calculate the volume of the liquid can be given as,
density = mass/volume
V = m/d
V = (19.6g)/(0.967g/ml)
V = 20.26ml
Therefore , the volume of the liquid is 20.26ml.
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What is natural and artificial sound?
Answer:
The Natural sounds contained sounds of living objects. The Musical sounds contained notes of different musical instruments, whereas the Artificial sounds were daily object-like sounds.
Explanation:
hope this helps!
They have two force vectors, 3cm by 5cm long. What is the intensity and how much? If the standard 1cm is equal to 21n
To find the magnitude of a force vector that is 3 cm by 5 cm, you would use the formula:
magnitude = [tex]sqrt(3^2 + 5^2) = sqrt(9 + 25) = sqrt(34) = 5.8[/tex]
1 cm = 21 N, you would multiply the magnitude by 21:
[tex]intensity = magnitude * 21 = 5.8 * 21 = 121.8 n[/tex]
What are force vectors?A force vector is a physical quantity that represents a force acting on an object. It has both magnitude and direction, and it is represented graphically by an arrow with a length proportional to its magnitude and an orientation that shows its direction.
For example, if you push a book across a table, the force you apply to the book is a force vector. It has a certain magnitude (e.g. 10 newtons), and it is directed from your hand towards the book.
Force vectors are important in physics because they allow us to analyze the forces acting on an object and predict how the object will move in response to those forces. In order to do this, we can use vector addition, which allows us to add multiple force vectors together to find the net force acting on an object.
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in part (c), how hard does the track push on the shell at point a, the top of the circle?
The force with which the track pushes on the shell at point A is F = 2/3 m g.
In part (c), 1/2 m v² = m g h₀ - 2 m g R
v² = 2 g h₀ - 4 g R
v² = 2 g (17 R/6 ) - 4 g R
v² = 5/3 × g R ≥ g R ----(1)
Let us calculate F.
Substituting (1) in F,
F = mv²/R - mg = m/R (5/3 g R) - m g = 5/3 × m g - m g = 2/3 m g
Thus, the force with which the track pushes on the shell at point A is F = 2/3 m g.
The question is incomplete. The complete question is 'A thin-walled hollow spherical shell of mass m, radius r, moment of inertia I = (2/3) MR² starts from rest and rolls without slipping down. Points A and B are on a circular part of the track having a radius R. The diameter of the shell is very small compared to h₀ and R.
(c) Suppose the track now became without friction, so the shell just slid without rolling but started at height h₀. Would it still complete the loop-the-loop. Why?
(d) In part (c), how hard does the track push on the shell at point A.'
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In addition to the anti-VEGF antibody, Marie has decided to also add a VEGFR primary antibody. At which position do you expect the band for VEGFR to appear? Remember that in SDS-PAGE proteins are separated according to their molecular weight. a) VEGFR runs at a lower molecular weight than VEGF b) VEGF and VEGFR run at the same molecular weight c) VEGFR cannot be detected by Western blotting d) VEGFR runs at a higher molecular weight than VEGF
VEGFR runs at a higher molecular weight than VEGF. In the position, VEGFR is expected to appear band. Hence, option (c) is correct.
What is VEGFR?A chemical that binds to vascular endothelial growth factor (VEGF) receptors, which may be present on some cancer cells. This might stop cancers from forming the new blood vessels they require to grow.
Anti-VEGFR monoclonal antibodies of various sorts are being researched for the treatment of cancer. These chemicals fall within the categories of monoclonal antibodies and antiangiogenesis agents.
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An object is thrown upward with a speed of 20m/s near the surface of a planet where the gravitational field strength is a constant magnitude of 6N/kg. The vertical position versus time of the object is shown in the graph. Is the object considered to be in free fall?
A. Yes, because the only force exerted on the object is the force due to gravity from the planet.
B. Yes, because any object that falls is considered to be in free fall.
C. No, because the object does not fall with an acceleration of nearly 10m/s2.
D. No, because the object has an acceleration due to gravity that is different from the gravitational field strength of the planet.
A planet's gravity is the only force acting on the object, hence the answer is yes.
How does gravity's field strength become calculated?This is a technique for calculating the gravity. Weight divided by mass equals the gravitational field's strength. On Earth, there is a 10 N/kg gravitational field.
The gravitational field at the satellite's location and the acceleration of the spacecraft are both compared.The speed of gravity at the orbital radius is equal to the speed at which a satellite in a circular orbit moves toward the object it is circling. Objects in orbit are constantly falling, like people in an elevator.
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Which of Newton's Laws is demonstrated by a ball rolling to a wall then stopping?
answer choices
Newton's First Law
Newton's Second Law
Newton's Third Law
Law of Acceleration
a jeweler's eyepiece generates magnifications of 20x. what is the size of the image of a 0.5mm gem?
The magnification produced by the lens of a 0.5 mm gem is 10mm.
The magnification of a lens is calculated in terms of the ratio of image height to object height. It is also expressed as a ration of image distance and object distance.
Magnification of lens = image height / object height = image distance / object distance.
M = [tex]h^{'[/tex]/ h = v/u
Magnification of concave lens is negative and of convex lens is positive.
In the given question,
M = 20
h = 0.5 mm
We have to find size of image, [tex]h^{'[/tex] = ?
using magnification formula
m = h'/h
20 = h'/0.5
h' = 20× 0.5 =10 mm
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Is wind and solar energy sustainable?
Because they have a little negative impact on the environment, are widely available, and are continuously supplied by nature, renewable energy sources like wind, solar, and hydropower are considered sustainable energy sources.
Is solar power a sustainable source of power?Resources that won't damage the environment or the energy needs of future generations are used to produce sustainable energy. The most popular sustainable energy sources, such hydroelectric, solar, and wind, all incorporate renewable energy.
How enduring is wind power?Wind power is the ideal technology for producing energy in a safe and eco-friendly manner because it emits no pollutants, is readily available nearby, is non-renewable, is economical, and creates wealth and jobs.
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If the resource is used to generate electricity, what energy transfer happen and how it is done.
Electricity can be generated by coal, hydroelectric dams, etc.
Energy transfer in dams can be Potential Energy < Kinetic Energy < Mechanical Energy < Electrical Energy. It is done by hydro power generators.
If the resource is used to generate electricity, the energy inside the resource ( potential or kinetic energy) transfers happen.
What are resources?Resources are all things in our environment that we can use to meet our requirements, provided they are technologically feasible, fiscally practical, and culturally acceptable. The resources themselves are crucial human beings. They convert naturally occurring materials into resources and use them.
Renewable resources are those that can be replenished or replicated by physical, chemical, or mechanical processes. Further classifications of the renewable resource include continuous and flow.
For instance, water, woods, wildlife, and solar and wind energy.
The occurrence of non-renewable resources spans a relatively long geological period. The creation of these resources takes millions of years. While certain resources, such as metals, can be recycled, others, such as fossil fuels, cannot be recycled and become depleted after being used. Minerals and fossil fuels, for instance.
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the trunk of an elephant is also used for one of these activities which one?
Answer:
b. collecting food
other options are wrong as elephant cant do those things
What does λ mean in wavelength?
Mean absorbance at each wavelength is denoted by A(λ).Distance between measurements in wavelengths is dλ.
What does one wavelength go by? A(λ) is short for average absorbance at each wavelength.Interval between measurements of wavelength is denoted by dλ. When wavelength is expressed in metres, 1/ stands for the number of waves in a wave train that can fit within a length of one metre, or, if wavelength is expressed in centimeters, the number of waves that can fit within a length of one centimeter.The wavelength of the spectral line is known as this number.The Greek symbol lambda () is commonly used to represent a wave's length. Wavelength is defined as the product of the speed (v) and frequency (f) of a wave train in a given medium.In meters, the symbol for wavelength is.In meters per second, the v represents the wave velocity (mps). Furthermore, the f stands for frequency, which is expressed in hertz (Hz).To learn more about wavelength refer
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What is the relationship between frequency f and wavelength λ if tension is constant?
The exact relationship between frequency and wavelength is f = c/λ.
When you change the tension on the string, you are changing the wave speed (c) and frequency, but not the wavelength. Specifically, as the frequency goes down, the speed goes down by the same factor, and so the wavelength doesn't change.
What is a wavelength?
Wavelength is the distance between identical points( conterminous peaks) in conterminous cycles of a waveform signal propagated in space or along a line. In wireless systems, this length is generally given in measures( m), centimeters( cm), or millimeters( mm). In the case of infrared( IR), visible light, ultraviolet( UV), and gamma shafts( γ)The wavelength is more frequently given in nanometers( nm), which are units of 10- 9 m, or angstroms( Å)., which are units of 10- 10m. Wavelength is equally commensurable with frequency, which refers to the number of surge cycles per second. The advanced is the frequence of the signal, the shorter the wavelength.To know more about Wavelength, click the link given below:
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Question Completion Status:QUESTION 1Organizational commitment has been found to be positively correlated with all of the following exceptan employee's agean employee's time on the job.an employee's level of educationthe current job market.2 pointsQUESTION 2Shannon is given random bonuses of varying amounts throughout the year based on "how well the company is doing." She is being reinforced using afixed ratio schedule.variable ratio schedule.fixed interval schedule.variable interval schedule.2 pointsQUESTION 3Glass created a computer game experiment whose results indicated that Type A subjects?Showed a significantly higher physiological stress response rates than the Type B subjects, but recovered back to baseline rates as quickly as the Type Bs.Showed significantly lower physiological stress response rates than the Type B subjects.Showed similar physiological stress response rates to the Type B subjects in the game, but had a signficantly higher stress response to the "harrass" condition.Showed significantly higher stress response rates but beat the game more times than the Type B subjects.2 pointsQUESTION 4According to goal-setting theory, the key determinants of motivation in the workplace arejob satisfaction and the accomplishment of goals.monetary incentives associated with meeting goals.specific, challenging opportunities and commitment to goals.specific, challenging opportunities and organizational policies directed at goal attainment.2 pointsQUESTION 5There is a negative correlation between age and voluntary absenteeism.TrueFalse
Explanation of the Current Job Market: Numerous studies have demonstrated considerable favourable Additional: Organizational commitment is strongly positively correlated with job satisfaction.
People who are more satisfied with their jobs The value of the collection of employee actions that either positively or negatively influence the achievement of company goals is referred to as With the exception of an employee's age and length of service, all of the following have been proven to be positively connected with organisational commitment. Examples of employment enrichment include diversifying skill sets, giving roles more responsibilities, giving work a deeper purpose, fostering autonomy, and providing feedback. Adding more of the same obligations associated to the same position satisfaction won't achieve the purpose of exposing the person to tasks typically allocated for higher positions or those with more specialised duties
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expert that helps you learn core concepts.See AnswerWhat of the following is false about memory?Select one:a. human memory has emotional overtonesb. human memory is associative and content addressable.c. there is no capacity limit in short term memory.d. memory is reconstructive thus it is possible that we create false memories.
Knowledge from sensory memory is transferred to short-term memory, which occasionally links it to information stored in long-term memory. storage for temporary memories.
The ability to link events, learn, and make sense of our life is precisely what memory enables. In essence, it enables us to construct Explicit associative memory requires conscious recall, whereas implicit associative memory relies on an unconscious process called priming. The cognitive process of selecting focusing on one part of the world while disregarding others, attention transfers information from sensory memory into short-term memory by filtering out all but the stimuli that are of interest at any given moment
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What is the speaker doing in Mending Wall?
The speaker of the poem is an unnamed person who lives in a clearly rural place and who questions the notion of keeping up a wall that keeps breaking down every year.
What is a poem?
Poetry (derived from the Greek poiesis, "to create"), also called poetry, uses the aesthetic and often rhythmic qualities of language (phonetic aesthetics, tonal symbolism, time signatures, etc.) to express "or" instead of one plain and obvious meaning. A poem is a literary work written by a poet according to this principle.
Poetry has a long and tumultuous history and has undergone different developments around the world. It goes back at least to prehistoric African hunting poetry and court poetry of praise and lamentation of the kingdoms of the Nile, Niger and the Volta Valley.
The speaker of the poem is an unnamed person who lives in a clearly rural place and who questions the notion of keeping up a wall that keeps breaking down every year.
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The ________ element in the definition of motivation is a measure of intensity, drive, and vigor.
A) persistence
B) conformance
C) energy
D) direction
The energy element in the definition of motivation is considered a measure of intensity, drive, and vigor.
Motivation is the process by which a person puts in energized, directed, and sustained effort to attain a defined goal. The energy element is taken as the measure of intensity or drive.
The term "motivation" describes the reason behind action. It is the driving force guiding human actions. Motivation is the process of initiating, guiding, and maintaining goal-oriented behaviors of a person or an organization.
There are three major components that drive motivation: activation, persistence, and intensity.
Energy element measures intensity or drive.
Direction is when the effort is directed toward and consistent with organizational goals.
Persistence is putting continue and sustained effort to achieve goals.
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What is the unit for wavelength λ?
The SI unit of wavelength is meter usually denoted as m. While measuring wavelength the multiples or fractions of a meter is also used.
What is a meter?
The meter was originally defined in 1793 as one ten-millionth of the distance from the equator to the North Pole along a great circle, making the circumference of the Earth approximately 40,000 km. In 1799, the meter was redefined as a prototype meter (the actual bar used was changed in 1889). In 1960, the power meter was redefined in terms of a certain number of wavelengths of a certain krypton-86 emission line. The current definition was adopted in 1983 and slightly modified in 2002 to make it clear that the meter is a measure of proper length.To know more about meter, click the link given below:
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the diagram shows a diver underwater.680N,600N
The resultant force that is acting on the diver is 80N.
What is the resultant?We know that the idea of the resultant force is that it is the kind of force that is the result of the action more than one force acting on an object. As such, the resultant force is the effective force that acts on an object that under the action of a given system of forces.
Now we can see that there is an upward and a downward force that is acting on the diver as we can see and the forces are in opposite direction thus the resultant of the forces can be obtained by subtraction. The resultant force is obtained as; 680 N - 600 N= 80N
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The table shows the acceleration due to gravity on four different planets. What planet is a person standing on if the person has a mass of 35. 0 kg and weighs 343 n?.
Planet that the person is standing on is Earth. However, it is also possible that the person is standing on a planet or moon with a similar acceleration due to gravity.
The weight of an object is the force exerted on it by gravity, and it is equal to the mass of the object multiplied by the acceleration due to gravity. The acceleration due to gravity is a measure of the strength of the gravitational field at a particular location, and it is denoted by the symbol g.
The weight of an object can be calculated using the equation:
Weight = Mass * g
In this case, the person has a mass of 35.0 kg and a weight of 343 N. To determine the acceleration due to gravity at the location where the person is standing, we can rearrange the equation above to solve for g:
g = Weight / Mass
Plugging in the values given, we get:
g = 343 N / 35.0 kg
This simplifies to:
g = 9.8 m/s^2
This table shows the acceleration due to gravity on four different planets what planet is a person standing on if the person has a mass of 85.0 kg and weighs 305 N mercury is 3.59 Venus 8.87 Earth 9.81 mars 3.77
A.mercury
B.Venus
C.earth
D. Mars
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A particle moves along the x-axis so that at any time t≥0 its position is given by x(t) = t3 − 3t2 − 9t. For what values of t is the particle at rest?
At [tex]t = 3[/tex], the particle will be at rest for the position along the x- axis which has been given as [tex]v(t) = t^{2} -3t^{2} -9t[/tex].
What do we mean by particle at rest?
You could understand the phrase "A particle at rest tends to stay at rest" to mean that a particle that is not moving relative to some reference objects tends to remain stationary relative to those same things.
The particle is at rest when velocity of the particle is [tex]0[/tex]. From this we know that the velocity is [tex]v(t) = t^{2} -3t^{2} -9t[/tex]
Therefore the velocity is [tex]0[/tex] when [tex]t[/tex] is
[tex]t^{3} -3t^{2} -9t = 0[/tex]
[tex]t( t^{2} -3t -9)[/tex] [tex]= 0[/tex]
[tex]( t^{2} -3t -9) = 0[/tex]
[tex]t^{2} -3t -3t -9 = 0[/tex]
[tex]t(t -3)-3(t -3) = 0[/tex]
[tex]t = 3[/tex]
Hence, At [tex]t = 3[/tex], the particle will be at rest.
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The angular position of a point on the rim of a rotating wheel is given by θ = 4.0t - 3.0t^2 + t^3, where is in radians and t is in seconds. What are the angular velocities at t = 2.0{~s}t=2.0 s.
The angular velocity of the pointed rim of a rotating wheel if, The angular position of a point on the rim of a rotating wheel is given by θ = 4.0 t - 3.0 t² + t³, is 4 rad/ sec.
What is Angular velocity?The rotation rate, which refers to how quickly an item rotates or circles in relation to another point, is measured pictorially by angular velocity. Angular velocity can be defined as the speed at which an item rotates or revolves around an axis.
Given:
θ = 4.0 t - 3.0 t² + t³
Calculate the angular velocity by differentiating the position function as shown below,
dθ / dt = d (4.0 t - 3.0 t² + t³) / dt
V = 4.0 - 6t + 3t² (Change in position is equal to velocity)
Put the value of time, t = 2
V = 4 - 6 × 2 + 3 × 2²
V = 4 - 12 + 3 × 4
V = 4 - 12 + 12
V = 4 rad/sec
Thus, the angular velocity is 4 rad/sec.
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Is working from home Scope 3 emissions?
Home office & remote work emissions fall under scope 3 because they are indirectly produced by your business.
What is a scope 3-carbon example?Scope 3 emissions result from company operations but come from sources that the company does not own or control.Activities falling under scope 3 include things like using goods and services, transporting fuel that has been purchased, and extracting and producing materials that have been purchased.
What does climate change scope 3 entail?Direct emissions form controlled or owned sources are covered by Scope 1.The generation of the purchased energy, steam, heating, and cooling used by the reporting enterprise is covered by scope 2's indirect emissions.All the other indirect emission that take place along a company's value chain are covered by scope 3.
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a 125N object vibrates with a period of 3.56s when hanging from a spring. what is the spring constant of the spring?
Answer:
The differential equation gives the angular velocity as sqrt(k/m) where m = mass of the object = 125/9.8 = 12.755. Where k = spring constant, pi = 3.14
We are told that the period is 3.56 seconds. But angular velocity = (2*pi)/P where p (period) = 3.56 seconds.
Equating the two angular velocity expressions gives (2*pi)/3.56 = sqrt(k/12.755)
Solving for k, we get k = 39.73.
Explanation:
A baseball player throws a 0. 5 kg baseball to a teammate. When the ball reaches a height of 15 m and has a velocity of 40 m/s, what is the total mechanical energy of the ball?.
The total mechanical energy of the baseball is found to be 473.5 J
The total mechanical energy of the ball will be given by the sum of the total potential energy and the total kinetic energy of the ball which will be given by the relation,
ME = KE + PE
ME = 1/2Mv²+Mgh
Where,
M is the mass of the ball V is the velocity of the ball h is the height of the baseball.
It is given to us that the baseball player has thrown the baseball towards another player when the ball is reach the height of 15m it attend us velocity of 40m/s and the mass of the ball is given to be 0.5 kg.
Now, putting all the values in order to find the mechanical energy of the ball,
ME = 1/2(0.5)(40)²+0.5(9.8)(15)
ME = 473.5 J.
The total mechanical energy of the baseball is 473.5 J.
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