What is the relationship between the distance from the Sun and the orbital period?

P^3=a^2
P^2=Gm
P^2=a^3
T^2=P^3

Answers

Answer 1

Answer:

Kepler's third law - shows the relationship between the period of an objects orbit and the average distance that it is from the thing it orbits. This can be used (in its general form) for anything naturally orbiting around any other thing.

Formula: P2=ka3 where:

P = period of the orbit, measured in units of time

a = average distance of the object, measured in units of distance

k = constant, which has various values depending upon what the situation is, who P and a are measured.

This is the general form of the formula, so obviously you need at least two of the quantities to find the third. "k" is the trickiest thing since it depends upon the objects that are involved and how you measure "P" and "a". Since "P" can be measured in any unit of time (seconds, days, years, etc), and "a" can be measured in any unit of distance (meters, km, AU), the value of "k" can be quite diverse from one system to another.

There is a simplified version of this law: P2 = a3 where:

The object must be orbiting the Sun

P = period of the orbit in years

a = average distance of the object from the Sun in AU

This version is much more simple, since it has "k" = 1, so it is ignored when those units of measure are used.


Related Questions

How are melting and carving ice sculptures both examples of physical changes ?

Answers

Answer:

they are still keeping the physical componets justbin a different shape

Explanation:

Answer:

As an ice cube melts, its shape changes as it acquires the ability to flow. However, its composition does not change. Melting is an example of a physical change .

crispr is a molecular tool that naturally exists in some types of ___________.

Answers

Answer:

bacteria and archaea

Explanation:

would you like answer

Two astronauts are playing catch in a zero gravitational field. Astronaut 1 of mass m1 is initially moving to the right with speed v1 . Astronaut 2 of mass m2 is initially moving to the right with speed v2>v1 . Astronaut 1 throws a ball of mass m with speed u relative to herself in a direction opposite to her motion. Astronaut 2 catches the ball. The final speed of astronaut 1 is vf,1 and the final speed of astronaut 2 is vf,2 .What is the speed vf,1 of astronaut 1 after throwing the ball?

Answers

The final velocity ([tex]v_1_f[/tex]) of the first astronaut will be greater than the final velocity of the second astronaut ([tex]v_2_f[/tex]) to ensure that the total initial momentum of both astronauts is equal to the total final momentum of both astronauts after throwing the ball.

The given parameters;

Mass of the first astronaut, = m₁Mass of the second astronaut, = m₂Initial velocity of the first astronaut, = v₁Initial velocity of the second astronaut, = v₂ > v₁Mass of the ball, = mSpeed of the ball, = uFinal velocity of the first astronaut, = [tex]v_f_1[/tex]Final velocity of the second astronaut, = [tex]v_f_2[/tex]

The final velocity of the first astronaut relative to the second astronaut after throwing the ball is determined by applying the principle of conservation of linear momentum.

[tex]m_1v_1 + m_2v_2 = m_2v_2_f + m_1v_1_f[/tex]

if v₂ > v₁, then [tex]v_1_f > v_2_f[/tex], to conserve the linear momentum.

Thus, the final velocity ([tex]v_1_f[/tex]) of the first astronaut will be greater than the final velocity of the second astronaut ([tex]v_2_f[/tex]) to ensure that the total initial momentum of both astronauts is equal to the total final momentum of both astronauts after throwing the ball.

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In Greenland there is a glacier called the Jakobshavn Isbrae that moves more quickly than any other

glacier known to mankind. It travels 8.2 millimeters every day. How far does the glacier move in a YEAR?

Convert units and show your work. (HINT-> how many days are there in a year? How many millimeters

in a meter?)

Answers

Answer:

8.2 mm / day * 1 m / 1000 mm = .00082 m / day    distance in 1 day

365 day / 1 yr * .00082 m / day = .30 m / yr

how do atomic structures apply to the formation of stars?

Answers

Answer:

Stars create new elements in their cores by squeezing elements together in a process called nuclear fusion. First, stars fuse hydrogen atoms into helium. Helium atoms then fuse to create beryllium, and so on, until fusion in the star's core has created every element up to iron.

Explanation:

Hope this helps.

Answer:

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NEED HELP!!!!! 12 POINTS!!!!

If there are two objects of equal size but object A is heavier than object B, which statement is TRUE according to Newton’s second law of physics?


OPTIONS:

A.
Object A will require less force to be set in motion and will travel faster.
B.
Object B will require less force to be set in motion and will travel faster.
C.
Object A will require more force to be set in motion but will travel faster than object B.
D.
Object B will require more force to be set in motion but will travel faster than object A.

PLEASE NO LINKS

Answers

The answer is b or c

a cart is constrained to move along a straight line. a varying net force along the direction of motion is exerted on the cart. the cart’s velocity v as a function of time t is shown in the graph above. the five labeled points divide the graph into four sections. for which segment does the cart move the greatest distance?

Answers

From the graph, the segments that move the greatest distance are AB and DE.

We have,

From the graph,

The y-axis is the speed.

The x-axis is the time.

This means,

Speed = Distance / Time

So,

The horizontal line is the distance.

Now,

There are 5 points: A, B, C, D, and E.

There are four parts:

AB, BC, CD, and DE.

On the graph.

So,

I part = 1/3 = 0.33

The distance covered in each part is:

AB = 2 parts = 2 x 0.33 = 0.66

BC = 1 part = 0.33

CD = 1 part = 0.33

DE = 2 parts = 2 x 0.33 = 0.66

Thus,

The segments that move the greatest distance are AB and DE.

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someone help me please

Answers

Answer:

F=ma

a= acceleration

F= force

m= mass

16N = 8m/s² x m

m= 16N/ 8m/s²

m= 2kg

15
Select the correct answer
Betty has to cookarump cut. She observed that meat dishes often spill out all their juices when they are cut. What should she do te
situation
DA She needs to make sure that she lets the rump sit for 5 to 10 minutes after it is cooked.
OB She needs to add wine to the rump before cooking it.
Oc She needs to cook the rump until all of the water evaporates.
OR She needs to keep the ramp in a preheated pan covered with a lid.
Reset
Next

Answers

Option A can be correct because when the meat is kept the rump settles down and the meat is prevented from being messy everywhere.

Answer:

Option A can be correct because when the meat is kept the rump settles down and the meat is prevented from being messy everywhere.

Explanation:

Scott travels north 2 miles and then goes west 3 miles before coming

straight back south 3 miles. What is the distance traveled and his

displacement??

A)8 miles, 8 mile

B)8 miles, 3.2 miles

C)8 miles, 4 miles

D)8 miles, 2 miles

Answers

I think it’s A because he traveled a total of 8 miles away and in conclusion was displaced from his beginning location by 8 miles

The lines ane on top of each other
40 m
Distance:
Displacement:

Answers

Explanation:

Distance = Total path length Distance = 38m + 35m + 40m Distance = 113m

Displacement = Final - Initial posiⁿDisplacement = 40m - 38mDisplacement = 2m

the energy carried by sound waves is called -

Answers

Answer:

kinetic mechanical energy

Answer:

Those sound waves are called kinetic mechanical energy

Explanation:

Sound energy is the result when a force, either sound or pressure, makes an object or substance vibrate. That energy moves through the substance in waves. Those sound waves are called kinetic mechanical energy.

proposed amendment on no more federal income tax​

Answers

Passed by Congress on July 2, 1909, and ratified February 3, 1913, the 16th amendment established Congress's right to impose a Federal income tax

Which is likely TRUE of an individual whose body composition has little fat and is naturally lean?


OPTIONS:

A.
They have a high metabolism.
B.
They have a family history of obesity.
C.
They require less food than most people.
D.
Their body composition will never change.

Answers

Answer:

A

Explanation:

If an individual whose body composition has little fat and is naturally lean then they have a high metabolism, therefore the correct answer is option A.

What is exercise?

The advantages of working out vary depending on the type of death a person experiences. Even if a person exercises, excessive sitting can cause a number of illnesses, many of which are fatal. The individual might also engage in mobile activities, in addition, to exercise to improve their fitness.

Any activity that involves bodily motions that increases a person's health, fitness, and well-being while reducing their chance of developing illnesses is considered exercise. It makes it possible for the person to maintain a healthy weight.

Therefore, if an individual whose body composition has little fat and is naturally lean then they have a high metabolism, therefore the correct answer is option A.

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marissas car accelerates uniformly at a rate of -2.60m/s^2. how long does it take for marissas car to accelerate from a velocity of -28.2m/s to -42.3m/s?

Answers

Answer:

1.02s

Explanation:

In this situation the following equation will be useful:

Where:

 is Marissa's car  final velocity

 is Marissa's car initial velocity

 is Marissa's car constant acceleration  (assuming this is the acceleration, since 1269 m/s^{2} does not make sense)

 is the time  it takes to accelerato from  to 

a 3000 kg car with a full load of people, has a kinetic energy of 190,000 J. What would the kinetic energy of the car be if it was moving at the same speed but a different mass of 1500 kg?

Answers

Answer:  15.9 m/s

Explanation:

KE = 1/2(mv^2)

190,000J = 1/2(3000kg)*v^2

1 J = 1 kg*m^2/s^2

190,000 kg*m^2/s^2 = 1/2(3000kg)*v^2

v^2 = (190,000 kg*m^2/s^2)/(1/2(3000kg))

v^2 = (190,000 kg*m^2/s^2)/(1500kg))

v^2 = 126.6667 m^2/s^2

v = 11.25 mm/s velocity of 3000kg vehicle

With the same kinetic energy, a vehicle of 1500kg would have a different velocity:

190,000 kg*m^2/s^2 = 1/2(1500kg)*v^2

190,000 kg*m^2/s^2 =(750kg)*v^2

v^2 = 253.33 m^2/s^2

v = 15.9 m/s

what is the meaning of vitality​

Answers

the state of being strong and active; energy
The power giving continuance of life, present in all living things

Aristotle supported which of these views?
A. The Sun and all the planets revolve around Earth.
B. The speed of a free-falling object is independent of its weight.
C. Earth and other planets revolve around the Sun.
D. Every action has an equal and opposite reaction.
E. The fifth element, ether, does not exist in heavenly bodies.
(PLEASE HELP ME)

Answers

Answer:

I am pretty sure that it is A. The Sun and all the planets revolve around Earth. Hope this helps!!!!!

Explanation:

Equation of Exclusive OR gate
Garade10​

Answers

Equation of Exclusive ?

Chuyển đổng đều là gì

Answers

Answer:

Uniform motion is defined as the motion, wherein the velocity of the body travelling in a straight line remains the same.

Chuyển động đều là chuyển động mà vận tốc có độ lớn không thay đổi theo thời gian. Chuyển động không đều là chuyển động mà vận tốc có độ lớn thay đổi theo thời gian.

Describe three characteristics of electromagnetic waves that make them useful for transmitting signals.

Answers

Answer:

characteristics of electromagnetic waves:-

electromagnetic waves are transverse waves;electromagnetic waves can travel through a vacuum;electromagnetic waves travel at exactly the same speed in a vacuum, the speed of light, 300,000,000 m/s.

A characteristics Feature of electromagnetic waves that make them useful for transmitting signal is that they are easily transmitted through

In physics, electromagnetic radiation is defined as  waves created as a result of the electromagnetic field vibratons moving through space, carrying electromagnetic  energy. The waves produced  includes radio waves, microwaves, infrared, light, ultraviolet, X-rays, and gamma rays.

The character of an electromagnetic wave is dependent on its frequency or wavelength making each electromagnetic spectrum having their own range of uses.

For transmitting signals, Radio waves as well as  Microwaves is useful , while the former help transmit  Information through radio and TV stations the later is used in satellite communications, this is because

They are easily transmitted through air. if absorbed by the human body, cannot cause damageThier directions can be changed or switched.

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Helicopter rescue winch-men must dangle a metal wire below them so that it always touches the ground or water surface first. This discharges __________ __________ that may have built up on the helicopter. What two words complete the sentence?

Answers

Answer:

static electricity

Helicopter rescue winch-men must dangle a metal wire below them so that it always touches the ground or water surface first. This discharges static electricity that may have built upon the helicopter.

What is static electricity?

Static electricity is a familiar electric phenomenon in which charged particles are transferred from one body to another. For example, if two objects are rubbed together, especially if the objects are insulators and the surrounding air is dry, the objects acquire equal and opposite charges.

What is static electricity caused by?

Static electricity is generated by friction between two insulating materials. When the materials are rubbed together, electrons are removed from atoms within the materials, giving rise to a static electric charge.

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the jovian planets are thought to have formed as gravity drew hydrogen and helium gas around planetesimals made of __________.

Answers

Made of rocks,metal and ice.

A wave has a wavelength of 1.2 m and a frequency of 3 Hz. What is the wave
speed?


A. 4.2 m/s
B. 2.5 m/s
C. 1.8 m/s
D. 3.6 m/s

Answers

Answer:

D. 3.6m/s

Explanation:

The equation for wave speed can be used to calculate the speed of a wave when both wavelength and wave frequency are known. Consider an ocean wave with a wavelength of 1.2 meters and a frequency of 3 hertz. The speed of the wave is: Speed = 1.2m x 3wave/s = 3.6 m/s

7. Navy use SONAR method to locate the position of submarine under water. The waves used in SONAR are A transverse waves. B electromagnetic waves. C. audible to human ear. D.audible to navy only.​

Answers

Answer:

A. transverse waves

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3. The brakes of a certain car can produce an acceleration of 6 m/s.
a. How long does it take the car to come to a stop from a velocity of 30 m/s?

Answers

Answer:

5s

Explanation:

initial distance: 0 m

distance: ? (we don't know)

initial velocity: 0 m/s

velocity: 30 m/s

acceleration: 6 [tex]m/s^{2}[/tex]

time: ? (we are looking for)

v = v0 + at

plug the numbers in:

30 = 0 + 6(t)

= 30 = 6t

= t = 5

5s

an experimental plane, currently overhead, is flying at 120 mph at an altitude of 32 thousand feet. how fast is the plane’s distance from you increasing at the moment when the plane is flying over a point on the ground 24 thousand feet from you?

Answers

This question involves the concepts of Pythagora's Theorem and derivatives.

The plane's distance is increasing at a rate of "105.6 ft/" (OR) "72 mph".

First, we will write an expression for the distance between the person and the plane in terms of time. For that purpose, we will use Pythagora's Theorem. Here, the altitude will act as perpendicular, the horizontal distance on the ground will be the base, and the straight line distance between the plane and the person will be the hypotenuse.

[tex]Hyp^2 = Base^2+Perp^2\\s^2 = (vt)^2+(32000\ ft)^2\\s=\sqrt{(vt)^2+(32000)^2}[/tex]

where,

s = plane's distance from the person

v = horizontal speedof the plane = [tex](120\ mph)(\frac{1.47\ ft/s}{1\ mph})[/tex] = 176 ft/s

t = time

Therefore,

[tex]s=\sqrt{(176t)^2+(32000)^2}[/tex]

Taking the derivative with respect to time:

[tex]\\\\\frac{ds}{dt} = \frac{1}{2}\frac{(2t)(176)^2}{\sqrt{(176t)^2+(32000)^2}}\\\\\frac{ds}{dt} = \frac{61952\ t}{2s}[/tex]

where,

[tex]\frac{ds}{dt}[/tex] = rate at which plane's distance is increasing from the person = ?

s = distance = [tex]\sqrt{(24000\ ft)^2+(32000\ ft)^2} = 40000\ ft[/tex]

t = time = [tex]\frac{horizontal\ distance}{v} = \frac{24000\ ft}{176\ ft/s} = 136.36\ s[/tex]

Substituting these values in the equation, we get:

[tex]\frac{ds}{dt}=\frac{(61952)(136.36)}{(2)(40000)}[/tex]

[tex]\frac{ds}{dt}=105.6\ ft/s = 72\ mph[/tex]

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The attahced picture illustrates Pythagora's Theorem.

Why is an element considered a pure substance?

Answers

Answer:

An element is a pure substance and is made of only one type of atom.

Explanation:

It cannot be broken down into a simpler substance.

If you can please help thanks

Answers

Answer:

2

Explanation:


A cube with 10 cm sides and a mass of 1200 g will ___ in water?

float
sink
not enough informational

Answers

Answer

float is the answer

Explanation:

- by nævis

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