The distance is the object from the mirror will be 5cm.
What is a mirror equation?A mirror equation is an equation that relates object distance and image distance to focal length. It is often referred to as a mirror formula.
The object distance in a spherical mirror is the distance between the object and the pole of the mirror (u).
The given data in the problem is;
Image height = 18cm
Object height = 10cm
u is the object distance
v is the image distance = 9 cm
From the symmetry of the triangle;
[tex]\frac{image \ height }{object \ height} = \frac{v}{u} \\\\ \frac{18 }{10} = \frac{9}{u}\\\\ \rm u=\frac{90}{8} \\\\ u = 5\ cm[/tex],
Hence the distance is the object from the mirror will be 5cm.
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At a construction site, a crane lifts an object to a certain height in 12 seconds, and a second crane does the same work in 6 seconds. Compared to the power developed by the first crane, the power developed by the second crane is which of the following?
A. The same
B. One-half as much
C. Twice as much
D. Four times as much
option C
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Reagan rides on a playground roundabout with a radius of 2. 5 feet. To the nearest foot, how far does reagan travel over an angle of 4π3radians? ______ ft
Answer:
S = θ R where S is the arc length and θ the arc length in radians
S = 2.5 ft * 4 π^3 rad = 2.5 * 124 = 310 ft (1 radian = 2.5 ft)
Assuming 4π3 means 4π^3
The Reagan travel over an angle of 4π/3radians is 10.47 or 10 feet if the Reagan rides on a playground roundabout with a radius of 2. 5 feet.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have Reagan rides on a playground roundabout with a radius of 2.5 feet.
We know the relation between arc length and radius of the circle:
S = R∅
Here R = 2.5 feet, and central angle ∅ = 4π/3
[tex]\rm S = 2.5\times \frac{4\pi}{3}[/tex]
S = 10.47 feet ≈ 10 feet
Thus, the Reagan travel over an angle of 4π/3radians is 10.47 or 10 feet if the Reagan rides on a playground roundabout with a radius of 2. 5 feet.
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what is the frequency of a light wave that has a wavelength of 0.039 m?
Answer:
Convert your wavelength into meters. Divide the speed of light, ~300,000,000 m/s, by the wavelength in m. This gives you the wave's frequency
Explanation:
If c is a positive real number and ak=klnc, for what values of c, if any, does the infinite series ∑k=1[infinity]ak converge?
There is no value of c such that the infinite series converges.
How to analyze the converge of an infinite series
Convergence is a characteristic of infinite series, in which a sum tends to be a given number when n tends to +∞.
In this question we must prove for which values of c the infinite series may converge.
There are different criteria to prove whether a given series converges or not, one of the most used criteria is the ratio criterion, which states that:
[tex]r = \frac{a_{k+1}}{a_{k}}[/tex], where the series converges if and only if r > 1. (1)
If we know that [tex]a_{k} = k\cdot \ln c[/tex], then the rational formula is:
[tex]r = \frac{(k+1)\cdot \ln c}{k\cdot \ln c}[/tex]
[tex]r = 1 + \frac{1}{k}[/tex]
We notice that resulting expression does not depend on c and is greater than 1. Therefore, there is no value of c such that the infinite series converges. [tex]\blacksquare[/tex]
RemarkIf [tex]c[/tex] is a positive real number and [tex]a_{k} = k\cdot \ln c[/tex], for what values of [tex]c[/tex], if any, does the infinite series [tex]\sum_{k=1}^{\infty} a_{k}[/tex] converge?
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There is no values of c, for the infinite series ∑k=1[infinity]ak to be converge when c is a positive real number.
What do you mean by infinite series?The infinite series is the sum of addition of a sequence in which the number of terms present are infinite.
[tex]a_1+a_2+a_3....+a_n[/tex]
Here, ([tex]a_n[/tex]) is the nth term of the sequence. For infinite series, the ratio criterion can be given as,
[tex]r=\dfrac{a_{k+1}}{a_k}[/tex]
If c is a positive real number and
[tex]a_k=k\ln c[/tex]
Put the value in above shown ratio,
[tex]r=\dfrac{(k+1)\ln c}{k\ln c}\\r=\dfrac{k\ln c}{k\ln c}+\dfrac{\ln c}{k\ln c}\\r=1+\dfrac{1}{k}[/tex]
With the value of r, we can say whether the series is converge or not. This value of r does not depends on c.
Thus, there is no values of c, for the infinite series ∑k=1[infinity]ak to be converge when c is a positive real number.
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A solid weighs weighs 20g in air,a8.2g in a liquid and 18g in water. Calculate
i. Relative density of the body
ii. Relative density of the liquid
iii. Density of the liquid
Answer:
Weight of the body in air = 20gf ( Wa)
Weight of the body in water = 18gf ( Ws)
Weight of the body in liquid =18.2gf ( Wl)
Now,
The loss of weight in the water = 20 - 18 or, 2 gf
So the relative density of the body is = Wa / ( wa - ws )
= 20 / 2
= 10
2) The weight loss in liquid = 20 - 18.2 or, 1.8 gf
So the relative density of the liquid is =( Wa - Wl ) / ( Wa - Ws )
= 1.8 / 2
= 0.9
Explanation:
how do the properties of waves correspond with observations of waves?
Answer:
no sabo por q no mi entender
What are the seasonal changes in the weasel in florida and the weasel in wyoming
Answer:
The differences between the Florida's weasel and in Wyoming's is that I can see that in Wyoming it has a lot of snow so Wyoming's weasel fur is more thicker than Florida's weasel.
Explanation:
Overmore, in Florida's weasel the weasel's fur is much more less then Wyoming's weasel's fur. Subsequently, their fur color is very different. In Wyoming's weasel fur, it's white fur help them blend in the snow. In Florida's weasel fur, it's brown and help blend in the grass(soil).
Weasels are small animals with long tail. Their diet will change in each seasons and will causes consecutive changes in body weight also.
What is seasonal change?The changes occurs in a living body or in a material with respect to different seasons is called seasonal changes.Weasels have coats that change from light brown to white in the winter. They are also known as ermines or short-tailed weasels.
In both the spring and the fall, the hue of their bodies changes, starting at their belly and moving outward. Long-tailed weasels and other species may also turn at least partially white.
The hue shift is caused by daylight duration rather than temperature. Weasels may therefore appear dazzling white in the winter against a brown environment before snow begins to fall. This makes them easy prey for larger predators like foxes, martens, and badgers during milder winters.
These little creatures eat a lot. Winter weasels forage often and consume roughly 40% of their body weight each day. Winter weasels have coats that change from light brown to white in the winter.
These pests, which can weigh as little as two ounces, are vicious and may attack prey that is larger than themselves. Weasels have excellent senses and are highly nimble. Because of this, they are difficult to catch and remove, both for humans and for predators.
Weasels are a sign of a healthy population of rodents or other prey on a property in the winter. The pests frequently reserve a portion of their meals for later.
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The work done in moving a block across a rough surface and the heat energy gained by the block can both be measured in ...
The work done in moving a block across a rough surface and the heat energy gained by the block can both be measured in Joules.
What are Joules?Joules is a unit of measurement used in physics that indicates the force exerted on a particular object.
A Joule is a work when a force that equals one (1) newton moves an object one (1) meter in a given direction.
Joules is the most widely extended unit of force and energy in physics and related disciplines.
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A solid cylindrical disk has a radius of 0.15 m. It is mounted to an axle that is perpendicular to the circular end of the disk at its center. When a 50-N force is applied tangentially to the disk, perpendicular to the radius, the disk acquires an angular acceleration of 110 rad/s2. What is the mass of the disk?
For A solid cylindrical disk has a radius of 0.15 m, The mass of the disk is mathematically given as
M=6.06kg
What is the mass of the disk?Generally, the equation for the Torque is mathematically given as
t=Ia
Therefore
FR=Ia
50*0.15=M((15^2)/2*10)
M=100/110*15
M=6.06kg
In conclusion, the mass of the disk
M=6.06kg
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If you were to build a pipe organ with open-tube pipes spanning the range from 25 hz to 19 khz. The speed of sound in air is 343 m/s
Building a pipe organ with open-tube pipes spanning the range from 25 hz to 19 khz will require the length of the shortest pipe to be 0.018m
What is Length?This is defined as the measurement or extent of a substance from end to end. The formula is shown below:
L = v/f where v is speed , f is frequency
f1 = 25hz , f2 = 19khz
The length for both sides is seen below:
l1 = 343/25 = 13.72m
l2 = 343/19000 = 0.018m.
The length of the shortest pipe is therefore 0.018m.
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The frequency of a repeated event is the number of occurrences per unit of time. The length of the shortest pipe is 0.018 m.
What is the frequency?The frequency of a repeated event is the number of occurrences per unit of time. It is also known as temporal frequency to distinguish it from spatial frequency, and ordinary frequency to distinguish it from angular frequency.
The formula of the length is given by the formula,
[tex]L=\dfrac vf[/tex]
where v is the velocity of the substance and f is the frequency.
Given that the speed of the sound in air is 343 m/sec, while the frequency is tanging from 25Hz to 19 kHz.
Therefore, the length of the pipe will be,
[tex]L=\dfrac vf\\\\L_1=\dfrac{343}{25} = 13.72\rm\ m[/tex]
[tex]L_2=\dfrac{343}{19 \times 1000} = 0.018\rm\ m[/tex]
Hence, the length of the shortest pipe is 0.018 m.
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A garbage can of mass 12 kg standing on horizontal ground is pushed by a horizontal force of 40N. If the coefficient of static friction is 0. 32 and the coefficient of dynamic or
kinetic friction is 0. 24 between the can and ground, the acceleration of the garbage can is
____ m/s2
The acceleration of the garbage can is 2.55 m/s².
What is acceleration?Acceleration is the rate of change of velocity with respect to time.
To calculate the acceleration of the can, we use the formula below
Formula:
ma = F-mg(η-μ)............ Equation 1Where:
F = Horizontal forcem = mass of the cang = acceleration due to gravitya = acceleration of the canμ = Coefficient of static frictionη = Coefficient of kinetic frictionMake a the subject of the equation
a = [F-mg(η-μ)]/m.................. Equation 2From the question,
Given:
F = 40 Nm = 12 kgg = 9.8 m/s²μ = 0.32η = 0.24Substitute these values into equation 2
a = [40-12×9.8(0.32-0.24)]/12a = (40-9.408)/12a = 30.592/12a = 2.55 m/s²Hence, the acceleration of the garbage can is 2.55 m/s².
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An empty coal car of a train of mass 8000 kg is moving at 12 m/s along rails. 24000 kg of coal is dumped into the car from a motionless bin. What is the speed of the coal car afterward?
Answer:
3 m/s
Explanation:
Initial = Final
Mass * Velocity = Mass *Velocity
8000kg * 12m/s = (8000kg+ 24000kg) * (Final Velocity)
(96000 kgm/s) / (32000kg) = (Final Velocity)
Final Velocity = 3 m/s
The speed of the coal car afterward is 3 m/s if an empty coal car of a train of mass 8000 kg is moving at 12 m/s along rails. 24000 kg of coal is dumped into the car from a motionless bin.
What is the law of conservation of momentum?The momentum of the body before the contact is always equal to the momentum of the body after the collision, according to the law of conservation of momentum.
According to the law of conservation of momentum;
Momentum before collision =Momentum after collision
We have:
Mass of the empty coal car of train M(e) = 8000 kg
Speed V(e) = 12 m/s
Mass of the coal M(c) = 24000 kg
Let's suppose the speed of the coal car afterward V(c)
M(e) ×V(e) = (M(c)+M(e))× V(c)
8000×12 = (24000+8000)×V(c)
V(c) = 3 m/s
Thus, the speed of the coal car afterward is 3 m/s if an empty coal car of a train of mass 8000 kg is moving at 12 m/s along rails. 24000 kg of coal is dumped into the car from a motionless bin.
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What is the Earth’s atmosphere composed of, and why is it important?
Answer:
i hope this helps you have a good day i hope you get an 100% on you quiz!
Explanation:
The atmosphere is a mixture of nitrogen (78%), oxygen (21%), and other gases (1%) that surrounds Earth. High above the planet, the atmosphere becomes thinner until it gradually reaches space. The atmosphere is an important part of what makes Earth livable.
Why would the force of gravity change between the earth and sun when the mass of the earth increased
What happens when light waves strike a mirror? question 5 options: most of the light waves are refracted. most of the light waves are absorbed. most of the light waves are scattered. most of the light waves are reflected.
Answer: "Most of the light waves are reflected", might be the correct answer.
Explanation: it might be the correct answer because the light waves spread out from the source in all directions, and upon striking a mirror, are reflected at an angle determined by the angle at which the light arrives. The reflection process inverts each wave back-to-front, which is why a reverse image is observed.
Answer:
most light waves are reflected
explanation:
when light hits a mirror it bounces back at the same angle it hit this is called reflection refraction on the other hand Refraction is the bending of light
Image result for what is refraction of light
Refraction is the bending of light
In order to compare the two thermal conductivities ,a scientist pours hot water into two beakers .
The two different insulators are wrapped around the beakers . The scientist records the intial temperatures of the hot water
State two further measurements he scientist should make
( if you don’t know please don’t reply )
Answer:
Time domain and frequency domain
50 points
lab report guide (4).docx What do the results tell you about your hypothesis(es)? Results will tell you which hypothesis is true How do the data support your claim above?
Answer: Put simply, a hypothesis is a specific, testable prediction. More specifically, it describes in concrete terms what you expect will happen in a certain circumstance. A hypothesis is used to determine the relationship between two variables, which are the two things that are being tested.
Explanation:
You are riding your bike downtown at a speed of 15 m/s and you see
a red light ahead. You gently brake over a distance of 50 m and come
to a complete stop. What is your acceleration during this time?
The acceleration of the rider initially going at a speed of 15m/s but comes to a stop at 50m is 2.25m/s².
How to calculate acceleration?The acceleration of a moving body can be calculated by using the following formula:
v² = u² + 2as
Where;
v = final speed u = initial speeda = accelerations = distance15² = 0² + 2×a×50
225 = 0 + 100a
a = 225/100
a = 2.25m/s²
Therefore, the acceleration of the rider initially going at a speed of 15m/s but comes to a stop at 50m is 2.25m/s².
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When an object standing on the floor is tipped, the height of its center of gravity (cg) may or may not change. Classify each case as stable, unstable, or neutral
The three types of equilibrium in an object are; stable, unstable, or neutral equilibrium.
What is equilibrium?The term equilibrium refers to a situation in which all the forces acting on an object are balanced such that the object does not move. The question is incomplete as the images are missing.
There are three types of equilibrium:
Stable equilibrium: In a stable equilibrium, the object returns to rest in its original place when displlaced.Unstable equilibrium: In this type of equilibrium, the body moves further away from its original position when displaced.Neutral equilibrium: In this type of equilibrium, the object comes to rest in a new position when displaced.Learn more equilibrium of forces: https://brainly.com/question/12262457
When an object standing on the floor is tipped, the height of its center of gravity (cg) for each case as stable, unstable, or neutral may increase, decreased and remain same respectively.
What is the equilibrium state of a standing object?Equilibrium is the location of the body, in which the body be static or in motion and does not change it with respect to time.
The equilibrium of an object can be classified in the 3 following types.
Stable Equilibrium- Stable equilibrium is the condition, in which the object gains its position back after displacing it.Unstable Equilibrium-Unstable equilibrium is the condition, in which the object does not gain its position back after displacing it.Neutral Equilibrium-Natural equilibrium is the condition, in which the object displace from its position and there is no force acting on it.When an object standing on the floor is tipped, the height of its center of gravity (cg) may or may not change.
The stability of object demands in the center of gravity. Lower the value of CG, results in more stable object. For each case,
Stable-Center of gravity is increased when tipped.Unstable-Center of gravity is decreased when tipped.Natural-Center of gravity is remained at same level when tipped.Thus, when an object standing on the floor is tipped, the height of its center of gravity (cg) for each case as stable, unstable, or neutral may increase, decreased and remain same respectively.
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What is the average angular speed of the grindstone 10 rad/s
Answer:
avg w= (delta theta)/delta T = (10 rad/s - 8 rad/s) / (4 s-0) = .5 rad/s Vt= r * avg w = 4m * .5 rad/s = 2 rad/s
At an altitude of 6,500 feet MSL, the current altimeter setting is 30. 42" Hg. The pressure altitude would be approximately
At an altitude of 6,500 feet MSL and with the current altimeter setting is 30. 42" Hg. the pressure altitude is mathematically given as
PA=6500ft
What is the pressure altitude?Generally, the equation for the Pressure altitude is mathematically given as
PA = ( 29.92 - AltSet ) * 1000 + FieldElev.
Therefore
PA= (29,92 - 30.42) * 1000 + 6,500
PA=6000ft
In conclusion, pressure altitude
PA=6500ft
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When a dielectric slab is inserted between the plates of one of the two identical capacitors
Answer:(A-P,S;B-P,S;C-Q,S;D-P,S)
Solution
(A)→P,S,(B)→P,S,(C)→Q,S,(D)→P,S.
Explanation:
Your friend left their science project off until the "night before" and now they are frantic to build a home made weather station that can measure relative humidity. They build the standard two – thermometer setup but their water had just been shut off and so they use salad oil on the wet bulb thermometer. Please describe how well their instrument will work and the physics behind your answer.
The usage of the wet bulb thermometer is important to measure the relative humidity or the air.
How to explain the temperature?It should be noted that air can be saturated with different amount of water vapors according to its temperature.
The percentage of water vapor with the amount of water at the temperature is the relative humidity. Based on the question, the salad oil is important rather than using water since oil doesn't evaporate.
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Alika finds a certain kind of butterfly near her house. She reads that ultraviolet light is absorbed by the butterfly’s wings, red light is transmitted through the butterfly’s wings, and green light is reflected off the butterfly’s wings. Alika’s friend Claire tells her that if you shine light on the butterfly, its wings will glow.
Can light cause the butterfly’s wings to glow? Why or why not? Does it matter what type of light Alika shines on the butterfly?
Answer:
No the butterflies wings won't glow.
Explanation:
Butterflies have wings that have different color of attractiveness. Butterflies are however attracted to light but can't absorb the light.
What phase of the moon would someone
on Earth see when the moon is at
Positions A through F?
First quarter is the phase of the moon would someone on Earth will see when the moon is at Positions A through F.
What is First Quarter?This is the phase which occurs when the moon is 90 degrees away from the sun in the sky and is half-illuminated from our point of view.
When looking it at the moon from point F it's half-illuminated which depicts the First quarter moon phase.
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The electric field is measured for points at distances r from the center of a uniformly charged insulating sphere that has volume charge densi
For the electric field is measured for points at distances r,Electric field is mathematically given as
E=19.9*10^{-5}c/m^3
What is the Electric field?Generally, the equation for the electric field uniform charged is mathematically given as
[tex]E=\frac{lr}{3e0}[/tex]
Therefore
E=lr/3E0=3Ee0/r
Therefore
E=3*6*10^4*8.85*10^{-12}
E=19.9*10^{-5}c/m^3
In conclusion, E=19.9*10^{-5}c/m^3
E=19.9*10^{-5}c/m^3
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CQ
Complete question attached below
Air in a piston cylinder assembly undergoes a process from state 1 where t1=300k
For a process where T1 = 300K, P1 = 100 kPa, and where T2 = 500K, P2 = 650 kPa, the change in entropy is mathematically given as
S1-S2=-0.0288KJ/Kgk
What is the change in entropy between the two states, in kJ/kg-K?Generally, the equation for the entropy is mathematically given as
S1-S2=mcp*lnt2-t1-Rlnt2/t1
Therefore
S1-S2=1+1.004*ln(500/300)-0.287*ln(650/100)
S1-S2=-0.0288KJ/Kgk
In conclusion, Entropy
S1-S2=-0.0288KJ/Kgk
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Complete Question
Air in a piston-cylinder assembly undergoes a process from state 1, where T1 = 300K, P1 = 100 kPa, to state 2, where T2 = 500K, P2 = 650 kPa. Using the ideal gas model for air, determine the change in entropy between the two states, in kJ/kg-K
The change in entropy between the two states, in a piston cylinder assembly, undergoes a process from state 1 where t1=300k is 2.36 kJ/kg K.
How to find change in entropy?The change in entropy can be find out using the following formula,
[tex]S1-S2=s^oT_1-R\ln \dfrac{p_2}{p_1}[/tex]
Here, (p1 and p2) are the pressure at state 1 and 2 and R is the gas constant. The value of R is,
R=(8.314/28.97).
Air in a piston-cylinder assembly undergoes a process from state 1, where T1 = 300 K, p1 = 100 kPa, to state 2. where T2 = 500 K, p2 = 650 kPa.
Put these values,
[tex]S_2-S_1=1.70203_1-\dfrac{8.314}{28.97}\ln \dfrac{10\text { bar}}{1\text { bar}}\\S_2-S_1=2.36\rm\; kJ/kg K[/tex]
Thus, the change in entropy between the two states, in a piston cylinder assembly undergoes a process from state 1 where t1=300k is 2.36 kJ/kg K.
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Given that the radius of the moon is roughly one-quarter that of the earth, find the mass of the moon in terms of the mass of the earth
The mass of the moon is six times lower in terms of the mass of the earth because of the its lower size and shape.
What is the mass of the moon and earth?The mass of the moon is 7.34767309 × 1022 kilograms while on the other hand, the mass of the earth is 5.97219 × 1024 kilograms. This difference is due to the lower radius of the moon as compared to earth.
So we can conclude that the mass of the moon is six times lower in terms of the mass of the earth because of the its lower size and shape.
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Create your own simple metaphor illustrating how demand and supply work together to create equilibrium. Label the following on your metaphor: quantity demanded, quantity supplied, equilibrium point
''When the quantity demanded intersect with quantity supplied, it leads o the formation of equilibrium point.''
How equilibrium occur?The equilibrium price and equilibrium quantity occur where the supply and demand curves cross with each other. The equilibrium occurs when the quantity demanded is equal to the quantity supplied.
So we can conclude that when the quantity demanded intersect with quantity supplied, it leads o the formation of equilibrium point.
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Equilibrium is the condition when the supply of any goods meets the demands completely. The point at which the graph intersects is the equilibrium price.
What is Equilibrium?Equilibrium is the condition when the supply of any goods meets the demands completely. Therefore, no extra goods are left.
Equilibrium is the condition when the supply and the demand line cross each other on a price and quantity graph as shown below. The point at which the graph intersects is the equilibrium price.
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What is the 3rd largest planet in the solar system?
Answer:
Uranus
Explanation:
Your welcome
A planet is a celestial body. The third-largest planet in the solar system is Uranus.
What is a planet?A celestial body is differentiated from the fixed stars by its apparent mobility (including the moon and sun), especially in relation to its claimed impact on people and events.
A planet is a celestial body. The third-largest planet in the solar system is Uranus.
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