Explain Kepler's Third Law of Planetary Motion

Answers

Answer 1

Answer:

The squares of the orbital periods of the planets are directly proportional to the cubes of the semi-major axes of their orbits. Kepler's Third Law implies that the period for a planet to orbit the Sun increases rapidly with the radius of its orbit.

Explanation:


Related Questions

What is the unit force used in gravity calculations and why is it called this

Answers

Answer:

newtons per kilogram (n/kg)

Explanation:

It is named after Isaac Newton in recognition of his work on classical mechanics, specifically Newton's second law of motion.

50pts Each

In order to differentiate between speed, displacement, and acceleration, a physical science student models the three terms using a toy car. The car is rolled forward 20 meters, turns around, and is rolled back to the starting point (another 20 meters) in 10 seconds.
A) The acceleration occurred when the car changed direction.

B) The speed was forty meters in 10 seconds, or 4 meters per second.

C) The speed was zero, since the object had no overall displacement.

D) The velocity was forty meters in 10 seconds, or 4 meters per second.

E) The velocity was zero, since the object returned to its original location with zero displacement.

Answers

Answer:

D

Explanation:

D) The velocity was forty meters in 10 seconds, or 4 meters per second.

What is the frequency of light that has a wavelength in water of 600 nm if the refractive index for this light is 1.33

Answers

The frequency of the light with the given wavelength in water is 3.75 × 10¹⁴ Hz.

Wavelength and Frequency

Wavelength is simply the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.

Both frequency and wavelength are inversely proportional to each other.

Using the wavelength, frequecy and speed relation;

λ = v / f

Where λ is wavelength, v is speed and f is frequency.

Given the data in the question;

Wavelength in water λw = 600nm = 6.0 × 10⁻⁷mRefraction index u = 1.33Frequency f = ?

We know that frquency in water is the same as frequecy in air, it doesnt change due to medium.

From the expression above, the frequency of the light will be;

λ = v / f

f = Vw / λw

But,

Refractive index u = velocity of light in air / velocity of light in medium ( water )

So,

Vw = ( 3×10⁸m/s × 1 ) / 1.33

Vw = 2.25 × 10⁸m/s

Hence,

f = Vw / λw

f = ( 2.25 × 10⁸m/s ) / ( 6.0 × 10⁻⁷m )

f = 3.75 × 10¹⁴ s⁻¹

f = 3.75 × 10¹⁴ Hz

Therefore, the frequency of light that with the given wavelength in water is 3.75 × 10¹⁴ Hz.

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Freud believes that defense mechanisms are reactions people have to protect themselves from uncomfortable feelings. the article ""high on anxiety"" suggests that some people want to feel __________ instead of calm because that’s the feeling they’re used to operating under. a. anxious b. happy c. excited d. angry please select the best answer from the choices provided a b c d

Answers

Answer:

A: Anxious

Explanation:

got a 100% of Edge

A car of mass 1000kg is at the top of a 10 degree hill as shown. What is its gravitational potential energy relative to the bottom of the hill?.

Answers

The gravitational potential energy of the  1000kg car relative to the bottom of the hill is 1666L (J).

Potential energy of the car

The gravitational potential energy of the car relative to the bottom of the hill is calculated as follows;

P.E = mgh

where;

h is the vertical height of the hillm is mass of the car

Let the slant height of the hill,  = L

h = L sinθ

h = Lsin(10)

h = 0.17L

P.E = mg(0.17L)

P.E = 1000 x 9.8 x 0.17L

P.E = 1666L (J)

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The hard outer covering of an animal is a

Answers

The covering on the outside of certain animals is the exoskeleton

Why is it difficult to define abnormal behavior?

Select all that apply.


There is a strict definition of abnormal behavior based on an established set of social norms.
There is a strict definition of abnormal behavior based on an established set of social norms.

People may engage in behaviors that appear abnormal but that are helpful for them to function in everyday life.
People may engage in behaviors that appear abnormal but that are helpful for them to function in everyday life.

Opinions differ on the characteristics that define normal mental health.
Opinions differ on the characteristics that define normal mental health.

Both public stigmas and self-stigmas are associated with labeling behavior as abnormal.

Answers

Answer: A. There is a strict definition of abnormal behavior based on an established set of social norms.

Forgive me if I’m wrong :C

Sample Response: When there is less rainfall, land, which is part of the geosphere, becomes dry. When there is not enough water, plants will not get the nutrients they need from the soil and animals will not get enough water, and they will die. Both plants and animals are part of the biosphere. Less precipitation would also mean less water in lakes and groundwater, parts of the hydrosphere, and less evaporation. The atmosphere may also be affected due to less water vaporWhich ideas did you include in your answer? Check all that apply.

Answers

grow alot of plants that's help to make more h2o

Answer:

Which ideas did you include in your answer? Check all that apply.

Droughts can cause the geosphere to be very dry.

Droughts can affect the survival of organisms in the biosphere.

Droughts can affect the amount of water in the hydrosphere.

Droughts can affect the amount of water vapor in the atmosphere.

Explanation:

The measured value of mass M in an experiment is M = 0.743 ± 0.005kg. The error in 2M is

Answers

When the measured value of mass M becomes 2 M, the error in the measurement will be 0.00995 kg.

Percentage error

The percentage error is determined from the ratio of the error in meaurement to actual measurement.

Percentage error = (error / measurement) x 100%

Percentage error = (0.005 / 0.743) x 100%

Percentage error = 0.67%

When the mass becomes 2M

New mass = 2 x 0.743

New mass = 1.486 kg

Error in measurement

0.67 = (new error / 1.486) x 100%

0.0067 = new error / 1.486

new error = 0.0067 x 1.486

new error = 0.00995 kg

Thus, when the measured value of mass M becomes 2 M, the error in the measurement will be 0.00995 kg.

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A paleontologist estimates that when a particular rock formed, it contained 12 mg of the radioactive isotope potassium-40. The rock now contains 3 mg of potassium-40. The half-life of potassium-40 is 1.3 billion years. About how old is the rock?

Answers

Answer:

2.6 billion yrs old

Explanation:

3 = 12 (1/2)^n     n=2 half lives

2 * 1.3 bln = 2.6 bln

In what way are nuclear fission and nuclear fusion similar?

A. Both processes involve the decay of nuclei of atoms.

B. Both processes result in formation of one or more new elements.

C. Both processes are currently used to generate electrical energy.

D. Both processes occur naturally inside the core of a star.

Answers

I think the answer is D!

i hope this help

If the distance to the water level in the well is doubled, is the time until you hear the splash twice what it was before, more than twice, or less than twice?

Answers

Echo is a reflection of sound waves.  If the distance is increased, we hear the sound in  more than twice the former time.

What is echo?

The term echo has to do with the reflection of sound waves. We know that when sound waves are reflected, we hear the sound as the echo.

Now, the time that it takes us to hear the echo depends on the distance between the observer and the depth of the well. If the distance is increased, we hear the sound in more than twice the former time.

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When travelling through a vacuum, which of the following is correct?

Radio waves travel faster than gamma rays

Gamma rays travel faster than radio waves

Both Gamma rays and Radio waves travel at the same speed

Radio waves do not travel through a vacuum​

Answers

Both Gamma rays and Radio waves travel at the same speed when placed in a vacuum.

What are Electromagnetic waves?

This is the type of wave of electric and magnetic fields propagating at the speed of light through empty spaces.

All electromagnetic waves such as Gamma rays and Radio waves travel at the same speed which is why option C was chosen.

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A police car siren emits a
frequency of
2010 Hz when stationary. Another car
hears a 1920
1920 Hz sound when it drives
away from the stationary police car.
How fast is the second car driving?

Answers

Answer: 15.35 m/s

Explanation: 15.35 m/s

[tex]$$From the Doppler effect$$f^{\prime}=\left(\frac{v \pm v_{0}}{v \pm v_{s}}\right) f_{s}$$[/tex]

[tex]\begin{aligned}&f^{\prime}=1920 \mathrm{~Hz} ; \ \ V=343 \mathrm{~m} / \mathrm{s} \\&f=2010 \mathrm \ \text{{H}z} \\&V_S=0 \text { As police car is stationary }\end{aligned}[/tex]

[tex]\begin{aligned}1920 &=\left(\frac{343 \pm v_{0}}{343}\right) \times 2010 \\1920 &=\left(\frac{343-v_{0}}{343}\right) \times 2010 \\ -v_{0} &=-15.35 \mathrm{~m/s} \\v_{0} &=15.35 \mathrm{~m} / \mathrm{s}\end{aligned}[/tex]

Therefore, the second car is driving at 15.35 m/s

Answer the following question in 3-4 complete sentences. a sculpture of a man sitting with his legs crossed, feet facing up. one hand is raised beside the shoulder, palm out. the other is placed on the knee. two smaller figures stand behind the seated man and two smaller figures float above him. name and describe the sculpture above. what school of thought is this sculpture a part of?

Answers

Answer:

see explanation

Explanation:

This sculpture is entitled, Buddha and Attendents. It was made of sandstone flecked with cream-colored spots. Buddha's right hand is raised in a gesture meaning "have no fear". This sculpture is from the Mathura school of thought.

sample response 3dge22

Answer:

This sculpture is entitled, Buddha and Attendents. It was made of sandstone flecked with cream-colored spots. Buddha’s right hand is raised in a gesture meaning ”have no fear”. This sculpture is from the Mathura school of thought.

Explanation:

picture


This property of matter describes
the relationship of mass to volume?

Answers

Density is a physical property that describes the relationship between mass and volume. Density is the amount of matter in a given space, or volume.

An FM radio wave has a frequency of 7.98E+8 Hz. What is the wavelength of this electromagnetic wave?​

Answers

Answer:

.376 m

Explanation:

c = speed of light = 3 x 10^8 m/s

c = wavelength * freq

3 x 10^8 = 7.98 x 10^8  * f

f = .376 meters

What type of processes break down elements?
Question 11 options:

chemical but not nuclear

both chemical and nuclear

only biological

nuclear but not chemical

Answers

Answer:

Both chemical and nuclear

How are jupiter, saturn, and uranus similiar? question 5 options: they are all large, gaseous planetary bodies. they are all planets that are the exact same size. they are all the same distance from the sun. they all have the exact same surface temperature.

Answers

Answer:

Explanation:

All of the planets listed are classified as "Gas Giants" due to them being much larger than the terrestrial rocky planets. They are also strictly composed of gaseous elements such as nitrogen, hydrogen, methane, etc.. Both A and B are correct. I am unsure if you can choose more than one.

Answer:

they are all large, gaseous planetary bodies

Explanation:

i took the quiz

How does adding a resistor to an electric circuit affect the current? (1 point)

O The resistor increases the current by increasing the amount of electric charge.

O The resistor decreases the current by decreasing the amount of electric charge.

O The resistor increases the current by transforming light energy or heat into electrical energy

O The resistor decreases the current by transforming electrical energy into different types of energy

Answers

Answer:

O The resistor decreases the current by transforming electrical energy into different types of energy

Explanation:

resistors convert elec energy to heat

Answer:

D

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4. The photograph in Figure 2.1 shows multiple images that were created by multiple reflections between two flat mirrorsWhat conclusion can you make about the relative orientation of the mirrors? Explain your answer.

Answers

The conclusion you make about the relative orientation of the mirrors is that multiple images are created by multiple reflections between two flat mirrors.

What conclusion can you make about the relative orientation of the mirrors?

What are mirrors: The law of reflection helps explain how a mirror is characterized as a reflecting surface.

In conclusion, When two mirrors are parallel to each other, the number of reflecton is infinite.This also depends on your point of view.

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A pendulum moves back and forth 3 times every 9 seconds

Answers

Answer:

See below

Explanation:

Frequency =  3/9 = .3333 hz

period = 1/f = 3 sec

How is the heat affecting the appearance of the road and the people?

Answers

Answer:

It doesn’t it may burn the road a little but nothing much other than that I can think ok

Explanation:

Which of the following solutions have a concentration of 0.11 g/mL?

Answers

Explanation:

Which of the following solutions have a concentration of 0.11 g/mL?

Answer:

22 g of acetic acid in 200 mL of water

Explanation:

22g/200mL = 0.11 g/mL

Two light waves, initially emitted in phase, will interfere constructively with maximum amplitude if the path-length difference between them is:

Answers

Two light waves will interfere constructively if the path-length difference between them is a whole number.

SUPERPOSITION

The principle of superposition state that, when two or more waves meet at a point, the resultant displacement at that point is equal to the sum of the displacements of the individual waves at that point.

Interference of waves can either be constructive, or destructive.

The two light waves, initially emitted in phase, will interfere constructively with maximum amplitude if the path-length difference between them is a whole number of wavelenght 1λ, 2λ, 3λ, 4λ etc

The equivalent phase differences between the waves will be 2[tex]\pi[/tex] or 360 degrees, 4[tex]\pi[/tex] or 720 degrees, 6[tex]\pi[/tex] 1080 degrees etc

Therefore, the two light waves, initially emitted in phase, will interfere constructively with maximum amplitude if the path-length difference between them is a whole number.

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What is responsible for Earth's seasons?



A. The Earth's proximity to the sun

B.The Earth rotating on its axis

C.The Earth revolving around the sun

D.The Sun emitting different intensities of light at different times of year

Answers

Answer:

I would say C

Explanation:

seasons are cause by the tilt in the Earths axis of rotation as it revolves around the sun.

What is the composition of the sun?

Answers

Answer:

The sun is mainly made up of 75 percent hydrogen and 25 percent helium by mass; the sun's is also composed of less than 0.1 percent various metals and elements, including neon, iron, oxygen and carbon. These atoms form hot plasma that is interwoven with the sun´s magnetic fields.

Hope i helped :)

Explanation:

An object is at rest on a tabletop. Earth pulls downward on this object with a force equal in magnitude to mg. What is the interaction pair to this force

Answers

Answer:

normal contact force

Explanation:

that is the equal and opposite force (as to weight) applied by the table on to the object.

The gravitational force of the earth on the object and the reaction force of the table on the object interact as a pair of forces.

What does gravity mean?

The gravitational force is what pulls things with mass in the same direction. People commonly think about the Earth's gravitational pull. Your body is kept on the ground by this force. Yet, gravity pulls all objects with mass in the same direction.

The gravitational force, or g, is the force that the earth exerts on an object, with g equal to 9.8 m/s2.

The information is ,

Place something on the table.

Now that the item is at rest, a force known as gravitational force pushes it downward from the Earth.

The formula for gravitational force is F = mg, where m is the object's mass.

Moreover, Newton's third law states that every action will always have a corresponding and opposing reaction. When the gravitational force acting between two masses is equal in strength and conducted in the opposite direction, an action and reaction pair is produced.

The reaction force is then given by R = -mg, where m is the object's mass and the negative sign denotes that the force is acting in the opposite direction to that of gravity by earth.

Hence , the interaction pair for gravitational is the reaction force

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At a depth of 30 m/99 ft, gas molecules in a flexible container will be packed ______ times more closely together than they will be at the surface.

Answers

The correct statement will be "At a depth of 30 m/99 ft, gas molecules in a flexible container will be packed four times more closely together than they will be at the surface."

What is a gas molecule?

Generally, a gas molecule is simply defined as a combination of numbers of atoms that are connected one to another.

In conclusion, The deeper gas molecules go in a surface the more compact they become

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Assuming the radius of diatomic molecules is approximately 2.3 ×10-10 m for what pressure in Pa will the mean free path in room-temperature (20°C) nitrogen be 0.027 m? The Boltzmann constant is 1.38 × 10-23 J/K, Avogadro’s number is 6.02 × 1023 molecules/mole, and the ideal gas constant is R = 8.315 J/mol•K = 0.0821 L ∙ atm/mol ∙ K.

Answers

For a radius of diatomic molecules is approximately 2.3 ×10-10 m, the  pressure in Pa is mathematically given as

P=0.134Pa

What pressure in Pa will the mean free path in room-temperature (20°C) nitrogen be 0.027 m?

Generally, the equation for the ideal gas  is mathematically given as

PV=nRT

Therefore

[tex]P=\frac{1kT}{\sqrt{2}\pi(p)d^2}[/tex]

[tex]P=\frac{1.38*10^-23*293}{\sqrt{2}\pi*(2*1.3*10^{-10})^2)*0.1}[/tex]

P=0.134Pa

In conclusion, Pressure

P=0.134Pa

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