If astronomers discovered a new planet and found its period of rotation around the sun to be 105 years, how long would its semi-major axis length be as it orbited the sun in au?.

Answers

Answer 1

The length of the semi-major axis of the new planet will be 22.3 AU.

As per Kepler's law of period:

The square of a planet's period of revolution around the sun in an elliptical orbit is precisely equal to the cube of its semi-major axis.

Mathematically, we can write it as:

The period of a planet's orbit (P) squared is equal to the size of the semi-major axis of the orbit (a) cubed when it is stated in astronomical units because [tex]P^2 = a^3[/tex] according to Kepler's Third Law.

For earth T=1 year

r=1 AU

let us assume that [tex]r_p[/tex] is the radius of the new planet.

For new planet; [tex]T_p[/tex] = 105 years

Using Kepler's 3rd law:,

We can write it as:

[tex]\frac{T^2}{T_p^2}=\frac{r^3}{r_p^3} \\\\\Rightarrow\left(\frac{1}{105}\right)^2=\frac{(1)^3}{\left(r_p\right)^3}=0.0000907 \\\\\Rightarrow r_p=\left(\frac{1}{0.0000907}\right)^{\frac{1}{3}}\\\\=22.257 \mathrm{AU} \\[/tex]

Approximately 22.3 Years.

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Related Questions

What is the current flowing through a 10 resistor in a parallel circuit with a 120 V potential difference across it?
on​

Answers

Answer:

let current flow be x

Explanation:

than we know potential difference = energy supply / charge then 120 = 10 /x then x=12 therefore pd = 12 v

120=10/X
12=1/X
12•1=12
So the answer is 12
Hope this helps can u make me branliest please ❤️

Please Help Me!!!
Water is a colorless and odorless liquid. It can exist in solid, liquid, and gas states. It boils at 100 degrees C and melts at 0 degrees C.
Which option best describes this information?
A.
These are the physical properties of water.
B.
These are the chemical properties of water.
C.
These are the physical changes water undergoes.
D.
These are the chemical changes water undergoes.
E.
These are the molecular changes water undergoes.

Answers

Answer:

There are the molecular changes water undergoes

A ball with a volume of 1.0 L is filled with a gas at 5 atmospheres (atm). If the volume is reduced to 0.75 L without a change in temperature, what would be the pressure of the balloon? ​

Answers

Answer:

P2 = 6.67 atm

Explanation:

Given the following data;

Initial volume = 1 Liters

Initial pressure = 5 atm

Final volume = 0.75 Liters

To find the final pressure P2, we would use Boyles' law.

Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.

Mathematically, Boyles law is given by;

[tex] PV = K[/tex]

[tex] P_{1}V_{1} = P_{2}V_{2} [/tex]

Substituting into the equation, we have;

[tex] 5 * 1 = P_{2} * 0.75 [/tex]

[tex] 5 = 0.75_{2} [/tex]

[tex] P_{2} = \frac {5}{0.75}[/tex]

[tex] P_{2} = 6.67[/tex]

P2 = 6.67 atm

Therefore, the new pressure is 6.67 atm.

What is the potential energy of a 55 kg box that is sitting 8.0 m above the ground?

Answers

Answer:

4400

Explanation:

pe=mgh=55*10*8=4400

What is the process called when heat transfers through space in the form of radiation?

Answers

Answer:

Insolation

Explanation:

It's actually the process when heat is transferred from the sun to the surface of the earth

The arrows on a free body diagram represent what?

1.) All of the forces acting on an object.

2.) The inertia of an object.

3.) The net force on an object.

4.) The motion of an object.

Answers

Answer:

4

Explanation:

because they show the direction where that particular object is going and forces are vectors they have both magnitude and direction

what is the main function of the circulatory system

Answers

Answer:

B

Explanation:

Answer:

The main function of the circulatory system is to carry nutrients to cells and waste away from cells.

Explanation:


1.
David is 10% taller than Peter and Peter is 5% shorter than John. It is given that the height of Peter
is 171 cm.
(a) Find the height of John.
Iso
(2 marks)
(b) David claims that he is the tallest person among the three. Do you agree? Explain your answer.
(2 marks)​

Answers

Answer:

I don't know if I can help you with that

______ charges repel each other.

Answers

Answer:

like I commented it yesterday can i have brainiest

Explanation: oh and HI

Answer:

Like

Explanation:

I put it before but my answer got deleted

Energy cannot be created nor destroyed. A. Ella said "a lot of energy in the hot water has disappeared." Explain why her statement is wrong?

Answers

Answer:

See Explanation

Explanation:

The principle of conservation of energy states that; energy can neither be created nor destroyed but is converted from one form to another.

In view of this principle, Ella can not be correct when she says that a lot of energy has disappeared. The use of the term "disappeared" connotes the idea that the energy no longer exists which does not happen.

Hence, energy can not "disappear" from hot water rather the energy in the water may be transferred to the surroundings.

please answer soon
a car is traveling along the highway at a constant velocity, what must be true about all the forces acting on the car?

Answers

equal to the force of friction exerted upon the car . ( how this is right )

1.Which of the following is the best example of motion?A.Waving your armsB.Tossing and turning in your bedC.Walking from home to schoolD.Your dog wagging his tail

Answers

Answer:

A

Explanation:

1. What is the magnitude of the force on a charge of +40 μC that is 0.6 m from a charge of - 80 μC?

Answers

Answer:

The magnitude of the force is 79.893 N.

Explanation:

The magnitude of the electrostatic force between the two particles is determined by Coloumb's Law, whose formula is:

[tex]F = \frac{\kappa \cdot |q_{A}|\cdot |q_{B}|}{r^{2}}[/tex] (1)

Where:

[tex]\kappa[/tex] - Electrostatic constant, in newtons-square meters per square coulomb.

[tex]q_{A}, q_{B}[/tex] - Electric charges, in coulombs.

[tex]r[/tex] - Distance, in meters.

If we know that [tex]\kappa = 8.988\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}}[/tex], [tex]q_{A} = +40\times 10^{-6}\, C[/tex], [tex]q_{B} = - 80\times 10^{-6}\, C[/tex] and [tex]r = 0.6\,m[/tex], then the magnitude of the force is:

[tex]F = \frac{\kappa \cdot |q_{A}|\cdot |q_{B}|}{r^{2}}[/tex]

[tex]F = 79.893\,N[/tex]

The magnitude of the force is 79.893 N.

Is this right? Please help me ITS SOCIOLOGY

Answers

Yes, this is correct Answer.

Greg's family is planning a trip, and want to choose the method of transportation that travels with the most speed. Which should Greg's
family choose? (speed = distance time)
A, a bus traveling 60 km every two hours
O B. a car traveling 60 km every four hours
O C. a train traveling 120 km every four hours
OD. a plane traveling 120 km every two hours

Answers

Answer:

D

Explanation:

120/2= 60km per hour

Would Lincoln, Nebraska or San Diego, California have a smaller range in average monthly temperatures

Answers

Answer: San diego

Because it is closer to the ocean

A squash ball with an initial velocity of 19.21 m/s [W] is hit by a squash racket, changing its velocity to 40.22 m/s [E] in 0.312 s. What is the squash ball’s average acceleration?

Answers

Acceleration = (change in velocity) / (time for the change)

Change in velocity = 59.43 m/s East

Time for the change = 0.312 s

Acceleration = 190.5 m/s^2 East

How fast is a 0.50 kg ball moving if it's kinetic energy is 400 j

Answers

Answer:

Correct 40 m/s

Explanation:

What is the relationship between temperature and kinetic energy?

Answers

Answer:

temperature is the average kinetic energy of the particles of matter. the hotter something is the more kinetic energy it has.

Explanation:

What do you call the shot that starts on the right side and continues through to the left
side for a right handed player?

Answers

Answer:

When a right-handed golfer’s tee shot curves to far to the left, the shot is described as a “hook.” This shot typically occurs when the club head moves across the ball from left to right, imparting side-spin on the ball

Please help!! I’m in a rush :(

Answers

Kinetic energy is a form of energy that an object or particle has by reaction of its motion.

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject

Answers

Velocity- speed in a direction
Time - how long it takes something to travel
Distance - how far something travels
Rate - how fast something changes position
Speed - distance per time
Speed -A
Distance-D
Time-E
Velocity -B
Rate-C

Protons are______
charged particles.

Answers

Answer: Protons are positively charged particles

Explanation:

Positive charged partials


PLSS HELPP

Are humans evolving? What will humans look like in 100,000 years in the future or longer?

Answers

Answer:

yes

Explanation:

If you don’t know please move on if you know please help:)

Drag the correct term to each blank:
potential kinetic
energy being changed into
When a magnet causes a paper clip to move, it's an example of
energy.
A child running is an example of
energy.
A motionless iron object in the magnetic field of a magnet may be said to have
energy

Answers

Answer:

When a magnet causes a paper clip to move, it's an example of Potential energy being changed in to Kinetic energy

A child running is an example of Kinetic energy

A motionless iron object in the magnetic field of a magnet may be said to have Potential energy

El concepto cosmológico abarca todo lo relativo a la cosmología y, al unir este término con la metafísica sería posible una correcta asociación la cual sería * 3 puntos

Answers

La respuesta correcta para esta pregunta abierta es la siguiente.

No incluyes opciones, incisos, o alguna referencia específica para responder esta pregunta.

De ahí que responderemos en términos generales basándonos en nuestro conocimiento previo.

El concepto cosmológico abarca todo lo relativo a la cosmología y, al unir este término con la metafísica sería posible una correcta asociación la cual sería benéfica para ambos campos de conocimiento porque de esta manera se estarían complementando y enriqueciendo el uno al otro.

Cuando la ciencia -en este caso, la cosmología- acepte los conceptos metafísico que no tienen un sustento científico pero que sí contemplan alternativas en el mundo espiritual que son aceptadas por una innumerable cantidad de personas, entonces los expertos podrán plantear nuevas y diferentes posibilidades de entender los fenómenos que al día de hoy, carecen de una convincente explicación.

Tanto la cosmología como la metafísica podrían mostrarse más receptivos a las aportaciones de una y la otra, con objeto de poder aumentar las posibilidades de comprender un fenómeno. No necesariamente debe haber una teoría científica para poder avanzar en el conocimiento de algún tema. De ahí que las aportaciones metafísicas sean válidas como una alternativa de investigación.

What is electric force?
-The force that happens between two charged particles.
-The force that happens when one particle is larger than the other.
-The force that happens when two particles are in a similar type of motion,
-The force that happens between two particles with mass.

Answers

Answer:

The force that happens between two particles with mass

1-¿Que tipo de energía usa en su hogar para el alumbrado , la calefacción y artículos de entretenían, entre otros ? 2-¿ de que manera en su hogar o escuela tienen acceso a la energía eléctrica? 3- aparte de los componentes ¿ hay alguna diferencia en el funcionamiento de circuito eléctrico de una linterna y el de una casa ? 4-¿que ocurriría si el voltaje que proporciona la fuente de energía es menor que la requerida por la ampolleta ? ¿Y su es mayor? 5-es indispensable el interruptor para el funcionamiento del circuito eléctrico

Answers

Answer:

Explanation:

1.-Energía eléctrica ( electricidad ) proveniente de una fuente AC ( es decir de corriente alterna)

2.-Hay un proveedor de servicios que lleva la energía a las comunidades en general y en particular la lleva hasta mi casa y escuela. Se define como acometida eléctrica, la infraestructura que lleva la energía desde la red de distribución al tablero principal en el abonado. La acometida puede ser aérea o subterránea, y normalmente consta de tres conductores ( de los cuales dos son calibre AWG # 8 ( dos fases ) y uno AWG # 10 ( neutro ). Esta configuración permite tener: 120 y 240 (V) en servicio en la casa y suficiente capacidad para la carga eléctrica de una casa normal

3.-Si, el tipo de corriente. En el caso de una linterna se usan "pilas" o baterías de corriente directa ( que no varia en el tiempo), en la casa la corriente es alterna de 60 ciclos por segundo de frecuencia.

4.-Si el voltaje es menor en una medida importante la ampolleta no alumbra por cuanto si por ejemplo el voltaje nominal ( o de funcionamiento es 120 V y el voltaje suministrado es 50 V ese voltaje será insuficiente para hacer funcionar el circuito). Si el voltaje es mayor dígamos 240 V la ampolleta se quema.

5.-El interruptor nos asegura la maniobra a nuestra voluntad del circuito del cual forma parte. Es decir si tengo un circuito de alumbrado ( 1 bombillo y un interruptor ) ese interruptor me permitirá apagar y encender la luz cuando yo quiera.

Los breaker son "interruptores" son dispositivos de protección para caso de sobrecargas y/o cortocircuitos

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject

Answers

Answer:

0.075 km/min

Explanation:

[tex]\frac{5km - 0km}{67 min - 0min} = 0.075 km/min[/tex]

A small car has a head-on collision with a large truck. Which of the following statements concerning the magnitude of the average force due to the collision is correct? The small car and the truck experience the same average force. The small car experiences the greater average force. The truck experiences the greater average force. It is impossible to tell since the masses are not given. It is impossible to tell since the velocities are not given. 1 points Saved Question 1 of 5 Moving to another question will save this response.

Answers

Answer:

The small car and the truck experience the same average force.

Explanation:

Here we need to remember two of Newton's laws.

The second one says that:

F = m*a

force equals mass times acceleration.

And the third one says that;

"If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A"

From the third law, if the car experiences a force F due to the impact with the truck, then the truck experiences the same force F due to the impact.

But this seems odd, because we would expect to see the car being more affected by the impact, right?

Well, this is explained by the second law.

Suppose that the mass of the car is m, and the mass of the truck is M.

such that M > m

Then for the small car we have:

F = m*a

And for the truck:

F = M*a'

Because the force is the same for both of them, we can write:

m*a = M*a'

a = (M/m)*a'

because M > m, then M/m > 1.

This means that the acceleration that the car experiences is larger than the acceleration for the truck, and this is why we would see that the car seems more affected by the impact, regardless of the fact that both vehicles experience the same force in the impact.

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