a car takes off from rest and covers a distance of 80m on a straight road in 10s. Calculate the magnitude of its acceleration​

Answers

Answer 1

Answer:

The magnitude of the acceleration is 1.6 m/s².

Explanation:

We can find the magnitude of the acceleration by using the following equation:

[tex] x_{f} = x_{0} + v_{0}t + \frac{1}{2}at^{2} [/tex]

Where:

[tex] x_{f}[/tex]: is the final position = 80 m

[tex] x_{0[/tex]: is the initial position = 0

[tex] v_{0}[/tex]: is the initial speed = 0 (it starts from rest)

a: is the acceleration =?

t: is the time = 10 s

Hence, the acceleration is:

[tex] a = \frac{2x_{f}}{t^{2}} = \frac{2*80 m}{(10 s)^{2}} = 1.6 m/s^{2} [/tex]

Therefore, the magnitude of the acceleration is 1.6 m/s².

I hope it helps you!          


Related Questions

A 50.0 g stone is attached to the bottom of a vertical spring and set vibrating. If the maximum speed of the stone is 15.0 cm/s and the period is 0.500 s, find the (a) spring constant of the spring, (b) amplitude of the motion, and (c) frequency of oscillation.

Answers

Spring constant of the spring, amplitude of the motion, and frequency of oscillation are respectively 8N/m, 1.2 cm and 2Hz.

To find the answer, we need to know about angular frequency, frequency, amplitude of spring mass system.

What's the angular frequency of the spring mass system, if its time period is 0.5 second?Mathematically, w=2π/Tw= 2π/0.5= 12.6 rad/sWhat's the relation between angular frequency and spring constant?Mathematically, w =√(k/m)k= w²mHere, w= 12.6 rad/s, m= 50gm = 0.05kg k= 12.6²× 0.05 = 8 N/mWhat's the relation between amplitude, angular frequency and velocity of mass of a spring mass system?Mathematically, Amplitude= velocity/angular frequencyHere, velocity= 15 cm/s = 0.15m/s, angular frequency= 12.6 rad/sAmplitude= 0.15/12.6= 0.012m = 1.2 cmWhat's the expression of frequency in term of time period?Frequency= 1/time periodHere time period= 0.5 sFrequency= 1/0.5 = 2 Hz

Thus, we can conclude that spring constant of the spring, amplitude of the motion, and frequency of oscillation are respectively 8N/m, 1.2 cm and 2Hz.

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If you take a given pendulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum will

Answers

As the acceleration of gravity is less on the moon than on the Earth, thus the resonant frequency of the pendulum will be less on the moon.

Explanation:

The acceleration due to gravity is less on the moon than the gravitational acceleration on the earth. It is required to examine how the resonant frequency of a pendulum is changed on the moon compared to the earth.

We know that the resonant frequency is dependent on the acceleration of gravity.

[tex]$f=\frac{1}{2 \pi} \sqrt{\frac{g}{l}}$[/tex] where g is the acceleration due to gravity and l is the length of the string.

From the above equation, it is clear that the resonant frequency is directly proportional to the square root of the acceleration due to gravity.

The gravitational acceleration on the moon is less than that on the earth.

Therefore the resonant frequency of the pendulum on the moon is less than that on the earth.

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The evolutionary cutoff between low- and high-mass stars occurs at approximately:

Answers

The evolutionary cutoff between low- and high-mass stars occurs at eight (8) M.

What are high-mass stars?

The high-mass stars are celestial bodies that exhibit a high level of luminosity and lived for short periods of time.

Conversely, low-mass stars are small and cool stars that lived for a long period of time.

In conclusion, the evolutionary cutoff between low- and high-mass stars occurs at eight (8) M.

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Astronomers have realized that the surface of ida is older than the surface of gaspra. How do they measure this?

Answers

From counting craters on each asteroids , astronomers have realized that the surface of ida is older than the surface of gaspra.

Ida, and Gaspra are three objects located in the asteroid belt between Mars and Jupiter.

Crater counting is a method for estimating the age of a planet's surface based upon the assumptions that when a piece of planetary surface is new, then it has no impact craters; impact craters accumulate after that at a rate that is assumed known.

Counting how many craters of various sizes there are in a given area allows determining how long they have accumulated and consequently, how long ago the surface has formed. Hence , from counting craters on each asteroids ,astronomers have realized that the surface of ida is older than the surface of gaspra.

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To correct myopia (nearsightedness) requires ___________ lenses; to correct hyperopia (farsightedness) requires _____________ lenses to correct.

Answers

By using concave lens, we can correct Myopia and Hyperopia can be corrected by convex lenses.

To find the answer, we need to know about Myopia and Hyperopia.

What is Myopia and Hyperopia?Myopia is an optical defect, in which a person can see nearby objects clearly and cannot see far off objects clearly.Here the eyeball becomes too longer, and the focal length of eye lens become too short.It can be corrected by using concave lens.For Hyperopia, the person can see far off objects clearly and cannot see nearby objects clearly.This can be corrected by using convex lens.

Thus, we can conclude that, by using concave lens, we can correct Myopia and Hyperopia can be corrected by convex lenses.

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Myopia can be corrected using concave lenses, while the Hyperopia is corrected by convex lenses.

We need to be aware of myopia and hyperopia in order to locate the solution.

Myopia and hyperopia: what are they?Myopia is an optical defect in which a person can see clearly up close but not clearly far away.Here, the eyeball lengthens excessively and the eye lens focal length contracts.Concave lenses can be used to rectify it.A person with hyperopia can clearly see distant objects but cannot see nearby objects clearly.Convex lenses can be used to fix this.

Thus, we can deduce that myopia and hyperopia can be corrected using concave lenses and convex lenses, respectively.

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Two parallel wires are separated by 0.36 m. Wire A carries 4.8 A and Wire B carries 8.9 A, both currents in the same direction. The force on 0.53 m of Wire A is:

Answers

The force on 0.53 m of Wire A is 1.3×10^(-5) N.

To find the answer, we need to know about the force on a current carrying wire due to another parallel wire.

What's the force experienced by a current carrying wire of length L due to another current carrying parallel wire?The magnetic force experienced by the wire here= μ₀IAIBL/(2πr)IA= current in wire A, IB= current in wire B, L = length of wire and r= separation between themWhat's the force on 0.53 m of Wire A, if IA, IB, L and r are 4.8A, 8.9A, 0.53m and 0.36 m respectively?

Force = (4π×10^(-7)×4.8×8.9×0.53)/(2π×0.36)

          = 1.3×10^(-5) N

Thus, we can conclude that the force on 0.53 m of Wire A is 1.3×10^(-5) N.

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The following is regarding Momentum Change and Force. help is needed please!

1. A force of 50 N acts on an object of mass 250 kg which is initially at rest, for 10 s. find the distance travelled and the velocity gained at the end of this time.

Answers

The distance travelled  is 10 m and the velocity gained at the end of this time is 2 m/s.

Velocity of the object at the end of the time

F = mv/t

where;

m is mass of the objectv is velocity of the objectt is time

Ft = mv

v = Ft/m

v = (50 x 10)/250

v = 2 m/s

Distance traveled by the object

v² = u² + 2as

where;

u is initial velocity = 0

a is acceleration

a = F/m

a = 50 N/ 250 kg

a = 0.2 m/s²

v² = 0 + 2as

s = v²/2a

s = (2²)/(2 x 0.2)

s = 10 m

Thus, the distance travelled  is 10 m and the velocity gained at the end of this time is 2 m/s.

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An astronomy student, for her PhD, really needs to estimate the age of a cluster of stars. Which of the following would be part of the process she would follow

Answers

Plotting what is referred to as an H-R diagram for the stars in the cluster is part of the process in which the astronomy student will follow in this type of scenario.

What is H-R diagram?

This is referred to as the Hertzsprung–Russell diagram and is a scatter plot which depicts the relationships between stars' absolute magnitudes versus their effective temperature. It can also be inferred that the higher the luminosity of a star, the higher the temperature and vice versa.

This helps to depict stellar evolution as a result of the features used as parameters such as the life cycle as an older star will be less luminous when properly studied by people hereby making it easier to estimate the age of stars.

This therefore the reason why plotting a Hertzsprung–Russell diagram is very important.

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A computer uses 3.5 A at 110 V. What is its resistance in ohms?

Answers

Answer:

31.43 Ω

Explanation:

Using Ohm's Law:

[tex]\displaystyle{V=IR}[/tex]

Where V = voltage (V) , I = electric current (A) and R = resistance (ohm)

We know that a computer uses 3.5 ampere at 110 volt, we want to know the resistance. Therefore substitute V = 110 and A = 3.5

[tex]\displaystyle{110=3.5R}\\\\\displaystyle{\dfrac{110}{3.5}=R}\\\\\displaystyle{R=31.43}[/tex]

Therefore, the resistance will be around 31.43 Ohm

physical and chemical properties of water​

Answers

(Not sure how many examples you need so I will put three for each)


Physical:

As you now know, water in its natural condition is a colorless, odorless, and tasteless liquid. The hexagonal structure of water's crystals.The temperature at which a liquid's vapor pressure equals the pressure around it, turning the liquid into vapor, is known as the boiling point. We are aware that water reaches its boiling point at 100°C.The temperature at which a material transition from a liquid to a solid is known as the freezing point. The freezing point of water, which is 0°C or 32°F, is the temperature at which liquid water changes to solid ice.

Chemical:

One of the most significant characteristics of water is its amphoteric tendency. Amphoteric refers to a substance's capacity to function as an acid or base. Water is neither acidic nor basic in its natural form. Its capacity to give and receive protons is the key justification. However, rainfall has a pH between 5.2 and 5.8, making it mildly acidic.Water is referred to be the all-purpose solvent. This is due to its chemical makeup, physical characteristics, high dielectric constant, and other factors that make it the most solvent material. It can attract other compound molecules, disabling their molecular forces and causing them to dissolve since hydrogen and oxygen both have positive and negative charges that are available.Water is a chemical molecule made up of two hydrogen atoms and one oxygen atom. The liquid condition of that substance is often referred to as water, and the solid and gas phases are respectively referred to as ice and steam.

A 350-g mass is attached to a spring whose spring constant is 64 N/m. Its maximum acceleration is 5.3 m/s2. What is the frequency of its oscillations?

Answers

The frequency of oscillation is 2.153 Hz

What is the frequency of spring?

Spring Frequency is the natural frequency of spring with a weight at the lower end. Spring is fixed from the upper end and the lower end is free.

For the mass-spring system in this problem,

The Frequency of spring is calculated with the equation:

[tex]f = \frac{1}{2\pi } \sqrt{\frac{k}{m} }[/tex]

Where,

f = frequency of spring

k = spring constant = 64 N/m

m = mass attached to spring = 350g = 0.350 kg

a = maximum acceleration = 5.3 m/s^2

Substituting the values in the equation,

[tex]f = \frac{1}{2\pi } \sqrt{\frac{64}{0.350} }[/tex]

[tex]f = \frac{1}{2\pi } ( 13.522)[/tex]

[tex]f = 2.1535 Hz[/tex]

Hence,

The frequency of oscillation is 2.153 Hz

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A large box is being pushed across the floor at a constant speed of 4.0 m/s. What can you conclude about the forces acting on the box?

Answers

There is no force acting on the large box.

What is the force according to Newton's law?According to Newton's second law of motion, Force is defined as the rate of change of momentum with respect to time.Mathematically, force = mass × accelerationAnd acceleration = velocity/ timeHere, the large box is moving with constant velocity. So its velocity is not changing with time.So velocity / time = zero i.e. acceleration= zeroIt leads to the force to be zero.

Thus, we can conclude that the force on the large box is zero.

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Excessive use of fossil fuels causes an energy crisis

Answers

yes, it causes an energy crisis. Burning Fossil Fuels

When we burn oil, coal, and gas, we don't just meet our energy needs, we move the current global warming crisis as well.

Fossil fuels produce large amounts of carbon dioxide when burned. Carbon emissions trap heat in the air and lead to climate change.

What are the major causes of energy crisis?

Most energy crises have been caused by localized shortages, wars and market manipulation. Some have argued that government efforts like tax hikes, nationalization of energy companies, and rule of the energy sector, shift supply and demand of energy away from its economic stability.

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PLSLPSLLPSLPSLPS HELP I ONLY HAVE 5 MINS PLEASE


a bus slows down from 50.0 km/h to 36.5/h in the school zone. determine the magnitude of the vehicle's acceleration if it took 19.5 seconds to slow down.

Answers

Answer:

0.19m/s²

Explanation:

Initial velocity(u) = 50×1000/60×60

=13.88 m/s

Final velocity(v) = 36.5×1000/60×60

=10.13 m/s

Acceleration(a) = v-u/t

=10.13-13.88/19.5

a= -0.19m/s²

-a = 0.19m/s²

The magnitude of retar dation is 0.19m/s²

Answer:

[tex]\sf 0.192\:ms^{-2}\:\:(3\:s.f.)[/tex]

Explanation:

Given:

initial velocity (u) = 50.0 km/hfinal velocity (v) = 36.5 km/htime (t) = 19.6 seconds

First, convert the velocities into meters per second by dividing by 3.6:

[tex]\implies \sf 50.0\: km h^{-1}=\dfrac{50.0}{3.6}\:ms^{-1}= \dfrac{125}{9}\:ms^{-1}[/tex]

[tex]\implies \sf 36.5\: km h^{-1}=\dfrac{36.5}{3.6}\:ms^{-1}= \dfrac{365}{36}\:ms^{-1}[/tex]

To find the vehicle's acceleration, use one of the constant acceleration equations with the given values:

[tex]\implies \sf v=u+at[/tex]

[tex]\implies \sf \dfrac{365}{36}=\dfrac{125}{9}+19.5a[/tex]

[tex]\implies \sf \dfrac{365}{36}-\dfrac{125}{9}=19.5a[/tex]

[tex]\implies \sf 19.5a=-3.75[/tex]

[tex]\implies \sf a=-\dfrac{3.75}{19.5}[/tex]

[tex]\implies \sf a=-0.1923076923...\:ms^{-2}[/tex]

Therefore, the magnitude of acceleration is:

[tex]\implies \sf |a|=|-0.19230...|=0.192\:ms^{-2}\:\:(3\:s.f.)[/tex]

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= Sem 2 CR-SS159VGSZE
nating a my ponnesis. I art
Since the investigative question has two variables, you
need to focus on each one separately. Thinking only
about the first part of the question, mass, what might be
a hypothesis that would illustrate the relationship
between mass and kinetic energy? Use the format of
"if...then...because..." when writing your hypothesis.

Answers

The relationship between mass and kinetic energy is K.E ∝ m and K.E ∝ v².

What is the relationship between mass and kinetic energy?

The kinetic energy of an object exists as the energy that it maintains due to its motion. It is defined as the work required to accelerate a body of a disseminated mass from rest to its stated velocity. Having acquired this energy during its acceleration, the body preserves this kinetic energy unless its speed changes.

The kinetic energy is directly proportional to the mass and also directly proportional to the square of the velocity.If we increase the mass, then kinetic energy will also increase.But if we increase the velocity by n times , then the kinetic energy will increase by [tex]n^{2}[/tex] times.

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Jan is holding an ice cube. What causes the ice to melt?

Thermal energy from the ice is transferred to the air.
Thermal energy from Jan’s hand is transferred to the ice.
The air absorbs thermal energy from Jan’s hand.
Jan’s hand absorbs thermal energy from the ice.

Answers

The ice melts because Thermal energy from Jan’s hand is transferred to the ice.

What is thermal energy?

Thermal energy is the energy due to temperature difference.

Thermal energy flows from hotter to colder bodies.

The ice Jan is holding melts because heat is transferred from his hands t the ice.

In conclusion, thermal energy flow causes melting.

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Answer:

its b

Explanation:

because the heat from your hand makes the ice melt!

Even with the best and largest telescopes, we can’t see all the stars in the milky way galaxy, even though these same telescopes can show us other galaxies. Why is that?

Answers

Because starlight cannot pass through black space, we are unable to view all of the stars in the Milky Way galaxy, even with the best and largest telescopes.

In the Milky Way galaxy, the Earth is situated. Part of it can be seen as a broad, opaque ring of stars and dust on a clear night (from sufficiently dark areas). We can see thousands of these stars with our unaided eyes, and a telescope can reveal many more.

However, a large number of the Milky Way's stars are obscured. The supermassive black hole at the centre of the galaxy and the bulge, which is made up of stars, gas, and dust, are to blame for this. The substance in this is opaque to all but the most powerful telescopes.

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A hypothetical metal has the bcc crystal structure, a density of 7. 24 g/cm3, and an atomic weight of 48. 9 g/mol. The atomic radius of this metal is.

Answers

Atomic radius of this metal is 0.85 x 10^23

Given:

density of metal = 7. 24 g/cm3

metal has the bcc crystal structure

atomic weight = 48. 9 g/mol

To Find:

atomic radius of this metal

Solution: Atomic radius is defined as half the distance between the centers of two neighboring atoms. the atomic radius of a simple cube and hcp is a/2 respectively, whereas it is a√2/4 and a√3/4 for fcc and bcc respectively.

density = Z x M/N• x a^3

a = edge length

Z = 2 atoms = numeber of atoms per unit cell

N• = 6.023 x 10^23 atoms/mol = Avogadro's number

a^3 = density x N•/Z x M

a^3 = 7.24 x 6.023 x 10^23/ 2 x 48. 9

a = 3√0.44 x 10^23

a = 1.98 x 10^23

4R = √3a

R = √3 x 1.98 x 10^23/4

R = 0.85 x 10^23

Atomic radius of this metal is 0.85 x 10^23

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Which of the following is an advantage of recorded presentations? A. Start-times and time zones are not a factor. B. Speakers can adapt topic coverage if necessary. C. Audience members have the opportunity to provide feedback D. More visual aids can be used.

Answers

The answer of this is b. Speakers can adapt topic coverage if necessary because I said the answer is b

The statement describes an advantage of recorded presentations is that the audience members have the opportunity to provide feedback. Thus, the correct option for this question is C.

What do you mean by Recorded presentations?

A recorded presentation may be defined as a popular format of multimedia content with a duration of several seconds or minutes that significantly expresses the advantages of a product, service, or any idea with the support of interesting graphic images, concise text, and appropriate narration.

According to the context of this question, a recorded presentation delivers an advantage to the audience to provide feedback. This is because the process of recorded PowerPoint presentation gives the actual sense and understanding to the audience similar to the real event.

Therefore, the correct option for this question is C.

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The work-energy principle states that the work done by all the __________ forces acting on an object (or system of objects) causes a change in total __________ of the object or system.

Answers

The work-energy principle states that the work done by all the non-conservative forces acting on an object (or system of objects) causes a change in the total mechanical energy of the object or system.


What is the work-energy principle?
The work-energy principle states that the total work done on a system is equal to the change in kinetic energy of the system. It is given as:

W.D = ΔK.E

       = K.E₁ - K.E₂

where K.E₁ is the initial kinetic energy of the system

            K.E₂ is the final kinetic energy of the system



What is meant by non-conservative forces?

Non-conservative forces as the name suggests are not conserved i.e. these forces cause a loss of mechanical energy from the system. A prime example of non-conservative forces is friction.

The total mechanical energy of the system is the sum of the potential energy and kinetic energy that the system contains. This energy is conserved and follows the work-energy theorem.

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A molecular cloud fragments as it collapses because Choose one: A. the interstellar wind is stronger in some places than others. B. the density increases fastest in the center of the cloud. C. the rotation of the cloud throws some mass to the outer regions. D. density variations from place to place grow larger as the cloud collapses.

Answers

The cause for a molecular cloud forming fragments when it collapses is indicated correctly by option D. density variations from place to place grow larger as the cloud collapses.

Molecular cloud:

A molecular cloud, also known as a stellar nursery, is a specific kind of interstellar cloud, whose density and size allow the development of molecules, absorption nebulae, and H II regions. In contrast, some regions of the interstellar medium mostly consist of ionized gas.

Molecular clouds are cold, dense areas of space where stars form. The cloud collapses into a proto-star when the gravitational force pulling it in outweighs the internal pressure pushing it in.

When a molecular cloud collapses, it is observed that the density varies from place to place with the variation increasing with collapse. As a result, the collapse is characterized by fragmentation of the cloud.

Thus the correct option is: D. density variations from place to place grow larger as the cloud collapses.

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Define mass .Also write the table showing the relation of 'kg' with it's sub- multiples and multiples.​

Answers

Answer:

the quantity of matter contained in a body is called mass .si unit of mass is kilogram.weight is effected by gravity but mass is not effected by gravity.

Answer:

The quantity of matter contained in a body is called mass .si unit of mass is kilogram.weight is effected by gravity but mass is not effected by gravity.

Explanation:

51. After conducting a search directly above the floor of a fire in a high rise building what is your next priority

Answers

After conducting a search directly above the floor of a fire in a high rise building what is your next priority is  that their own safety is the first priority.

Life safety is the top consideration at any fire incident. Firefighters practice frequently to be ready to free trapped persons from a burning structure. On some occasions, though, it's the firefighters who require assistance.

What are the three incident priorities?

Reviewing the three main responsibilities on the fireground—life safety, incident stabilization, and property preservation—is a good idea. These three concerns must be taken care of at every fire scene to which we react. The circumstances will determine which ones are addressed in what order.

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The mississippi river delta is one in which the primary source of local current energy is ____.

Answers

Answer:potential energy

Explanation:

What was Kobe’s attitude toward life and competition?

Answers

Answer: Positive

Explanation: Kobe has had an positive attitude on situations and life itself. No matter the competition he still kept a positive attitude regardless. He still wished the best for others even if his enemies thought otherwise. So Kobe was a positive person on the outlook of life and competition.

What is a stream’s discharge rate if it has a width of 10 meters, a depth of 2 meters, and a velocity of 2 meters per second?

Answers

A stream’s discharge rate if it has a width of 10 meters, a depth of 2 meters, and a velocity of 2 meters per second will be 40 [tex]m^{3}[/tex]/sec .

Discharge rate = velocity * area

                 = velocity * depth * width

                 = 2 * 2 * 10 = 40 [tex]m^{3}[/tex]/sec

A stream’s discharge rate if it has a width of 10 meters, a depth of 2 meters, and a velocity of 2 meters per second will be 40 [tex]m^{3}[/tex]/sec .

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How should you plan to excercise if you want to remain healthy past the age of 65

Answers

Run,karate,aerobic exercise

Explanation:

by taking a brisk walking about 150 minutes

2 days a week exercise that strengths muscles

drinking water

Why stars are shows like twinkling in the sky’s!
Reply please!

Answers

Answer:

As light from a star races through our atmosphere, it bounces and bumps through the different layers, bending the light before you see it. Since the hot and cold layers of air keep moving, the bending of the light changes too, which causes the star's appearance to wobble or twinkle.

If the Moon takes 27.3 days to complete its orbital path around the Earth, and the orbit has a radius of 3.8 x 108 meters, what is the Earth's Mass

Answers

Answer: If the Moon takes 27.3 days to complete its orbital path around the Earth, and the orbit has a radius of 3.8 x 108 meters, then, the Earth's Mass is [tex]6*10^{24}kg[/tex].

Explanation: To find the answer, we have to know more about the Law of periods or the harmonic law.

What is the law of periods or harmonic law?The law of periods states that, the square of the period of revolution of a planet is proportional to the cube of the semi major axis of the elliptical path.We can express it as,

                                              [tex]T^2[/tex]∝ [tex]r^3[/tex]

                                            [tex]T^2=\frac{4\pi ^2r^3}{GM}[/tex]

How to solve the problem?From the above given equation, we can reduce mass of earth as,

                                     [tex]M=\frac{4\pi ^2r^3}{GT^2}[/tex]

Substituting the values given in the question, we get,

           [tex]M=\frac{4\pi ^2(3.8*10^8)^3}{6.67*10^-11*(27.3*24*60*60s)^2} =\frac{2.164*10^{27} }{371.08} =5.831*10^{24}=6*10^{24}kg[/tex]

Thus, we can conclude that, the mass of earth is [tex]6*10^{24}kg[/tex] .

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You are singing a song at karaoke and reach a part that requires a louder, more intense sound. What must you do to produce a louder sound

Answers

More energy is used in creating a louder sound from the mouth.

What must you do to produce a louder sound?

We use more energy in order to produce a louder sound because energy is the thing that helps in the formation of loud sound. Loudness is dependent on the energy that creates loud sound in the mouth. More energy we apply, more loud sound will produce. Energy is the main factor which gives us a loud sound in each and every instruments. Without, we can't imagine loud sound.

So we can conclude that more energy is used in creating a louder sound from the mouth.

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Other Questions
A particularly cold winter in a region represents a change in climate.a. True b. False Listen to the recording of "Si mi chiamanoMimi" From La Boheme by Puccini and answerthe following questions:Even if you do not have the translation,what is the mood of the music? Does itsound sad, hopeful or is the musicforeshadowing her death? This is one of the most famous operas ofall times and the musical Rent is based onthe same story, what is it about this storythat makes it memorable? Your team at amazon is overseeing the design of a new high-efficiency data center at hq2. a power grid need to be generated for supplying power to n servers. all servers in the grid have to be connected such that they have access to power. the cost of connections between different servers varies. assume that there are no ties, names of servers are unique, connections are directionless, there is at most one connection between a pair of servers, all costs are greater than zero, and a server does not connect to itself. write an algorithm to minimize the cost of connecting all servers in the power grid. input two arguments - num, an integer representing number of connections. connectons, representing a list of connections where each element of the list consists of two servers and the cost of connection between the servers. note: the cost of connection between the servers is always greater than 0. example input num = 5 connection = [[a,b,1], [b,c,4], [b,d,6], [d,e,5], [c,e,1]] output [[a,b,1], [b,c,4], [c,e,1], [d,e,5]] What country often experiences the first and worst effects of El Nino, including flooding and destruction of villages?A. IndiaB. JapanC. United StatesD. Peru Which identifies an oxidation-reduction reaction?a double replacement reactiona neutralization reactiona reaction in which oxidation numbers changea reaction in which no electrons are transferred Scrapper Elevator Company has 20 sales representatives who sell its product throughout the United States and Canada. The number of units sold last month by each representative is listed below. Assume these sales figures to be the population values. 2 3 2 3 3 4 2 4 3 2 2 7 3 4 5 3 3 3 3 5 Required: a. Compute the population mean. (Round your answer to 1 decimal place.) b. Compute the standard deviation. (Round your answer to 2 decimal places.) c. If you were able to list all possible samples of size five from this population of 20, how would the sample means be distributed The resistance, r, to electricity of a cylindrical-shaped wire is given by the equation r = startfraction p l over pi d squared endfraction, where p represents the resistivity of the wires material, l represents the length of the wire, and d represents the diameter of the wire. what happens to the resistance of the wire as the diameter approaches 0? Which mythology contributes to Arthurian mythology?1)Egyptian2)Norse3)Germanic4)Celtic Mason needs a taxi ride to get from work to the gym it costs him $27.30 plus the 20% tip that he leaves. How much was Masons taxi ride? Water will expand more than ____________.doorairjuice A nurse is administering a high-concentration potassium solution to a patient with a diet-based potassium deficiency. Unaware of the initial treatment, another nurse administers a drug that inhibits secretion of aldosterone to treat the same deficiency. Which of the following conditions will most likely occur as a result The industry-low, industry-average, and industry-high benchmarks for the costs per branded pair sold in each geographic region (including production costs, shipping, import tariffs, and exchange rate adjustments), distribution and warehouse expenses per branded pair sold, and marketing expenses per branded pair sold that appear on p. 7 of each issue of the Footwear Industry Report Imagine an ocean engineer is building a fish tank for a salt water fishery list at least five considerations that the engineer would need to factor in Read this excerpt from Anne Frank Remembered.Right away, from the door, I saw that the place had been ransacked. Drawers were open, things strewn all over the floor. Everywhere objects were overturned. My eyes took in a scene of terrible pillage.Then I walked into Mr. and Mrs. Frank's bedroom. On the floor, amidst the chaos of papers and books, my eye lit on the little red-orange checkered, cloth-bound diary that Anne had received from her father on her thirteenth birthday. I pointed it out to Elli. Obeying my gesture, she leaned down and picked it up for me, putting it into my hands. I remembered how happy Anne had been to receive this little book to write her private thoughts in. I knew how precious her diary was to Anne. My eyes scanned the rubble for more of Anne's writings, and I saw the old accounting books and many more writing papers that Elli and I had given to her when she had run out of pages in the checkered diary. Elli was still very scared, and looked to me for direction. I told Elli, "Help me pick up all Anne's writings."Which theme can be inferred from this excerpt?The Nazi officers destroyed the Franks belongings.Miep is determined to remember her friends.Writing can be an emotional release for youth. How much time does it take for a 1-solar-mass protostar to reach the main sequence? a. 10100 million years b. less than 10,000 years c. 100,000 to 1 million years d. 110 billion years What should i include in my essay, i am arguing that bob dylan should not have been rewarded the nobel prize. Y is inversely proportional to x, when Y = 2, x = 4.Find the value of x when Y = 4. Find the perimeter of a parallelogram with corner points at (1,3), (4,7), (9,7), and (6,3)Decimal approximation thank you for your help!! Section 1 Topic 6 Radical Expressions and Expressions with Radical Exponents Directions: Match the column on the left with the possible answers from the two columns on the right. Some questions will have more than one answer and some possible answers will not be used. How would you use SQL to change a table's structure? What general types of changes are possible? Which commands are used to implement these changes?