Mercury has the most eccentric (least circular) orbit of all the planets in the Solar System. At aphelion it is 0.467 AU from the Sun while at perihelion it is only 0.308 AU from the Sun. What is Mercury's orbital period in Earth-days?

Answers

Answer 1

Answer:

Mercury's orbital period is approximately 88 days

Explanation:

Mercury's orbit parameters given in the question are;

Mercury's aphelion distance, Rₐ = 0.467 AU

Mercury's perihelion distance, [tex]R_p[/tex] = 0.308 AU

Therefore, the average distance from Mercury to the Sun, 'a', is given as follows;

[tex]a = \dfrac{R_a + R_p}{2}[/tex]

By plugging in the values of 'Rₐ' and '[tex]R_p[/tex]', we get;

[tex]a = \dfrac{R_a + R_p}{2} = \dfrac{0.467 \, AU + 0.308 \, AU}{2} = 0.3875 \, AU[/tex]

a = 0.3875 AU

According to Kepler's third law, we have;

P² = k·a³

Where;

P = The orbital period of the plane

a = The average distance from Mercury to the Sun

k = Constant

When k = 1, we have;

P² = a³

∴ P = √(a³)

From which we have;

P = √(0.3875 AU)³ ≈ 0.241216804711 years

P ≈ 0.2412168 years

1 year = 365 days

∴ 0.241216804711 years = 0.241216804711 years × 365 days/year ≈ 88.0441337 days

0.241216804711 years ≈ 88.0441337 days ≈ 88 days

Mercury's orbital period, P ≈ 88 days.


Related Questions

please help me on this physics, i got confused​

Answers

Explanation:

this is the answer for your question

How many electrons would be needed to give a cobalt atom (that has 27 protons and 28 neutrons) a net charge of zero?​

Answers

Answer:

The answer would be 123

The power generated by the engine was just 2.984 KW. How long would this engine have to run to produce 3.60 × 104 J of work?

Answers

1 watt = 1 joule/second

1 KW = 1,000 joule/second

Work = (power) x (time)

3.6 x 10⁴ J = (2,984 joules/second) x (time)

time = (3.6 x 10⁴J) / (2,984 J/s)

time = (36,000J) / (2,984 J/s)

time = 12.06 seconds

Which was a common goal of Spanish and British explorers in the Southeastern region of North America?
OA. to convert American Indians to Catholicism
ОВ.
to discover gold
OC. to cultivate tobacco
OD
to prevent French settlement of Florida

Answers

Answer:

B

Explanation:

To discover gold

Can someone help me?in the phy

Answers

Answer:

so your answer is gonna be the first one which is A

what are the unique characteristics of romantic music which are not present in Original Pilipino Music (OPM)​

Answers

Answer:

ITU Sangat bermanfaaat

percent of Earth's surface is made up of Oxygen.
a) 30
b) 46
c) 62

Answers

Answer: it's made up about 21% so if you do not have this option I say go with 30

Explanation:

El Burj Khalifa es la torre más alta de Dubai y mide 821 m. Si se deja caer una moneda desde lo alto de la torre, ¿cuál es la magnitud de la velocidad con la que choca con el suelo?

Answers

Answer:

Vf = 126,85 m/s

Explanation:

En este caso, vamos a asumir que la velocidad inicial de la moneda cuando se deja caer es cero, puesto que no nos lo indican. Al ser la velocidad inicial cero, lo unico que influye en la velocidad de la moneda es la gravedad y la altura, por ende, la siguiente formula nos ayudará a calcularla:

Vf² = Vo² - 2gh   (1)

Pero como la velocidad inicial es cero, y si también asumimos que la dirección de bajada será nuestro eje positivo, entonces:

Vf² = 2gh   (2)

Ahora solo nos queda, reemplazar los valores de altura que es 821 m, y la aceleración de gravedad que es 9.8 m/s² y resolvemos la velocidad:

Vf² = 2 * 9,8 * 821

Vf = √16091,6

Vf = 126,85 m/s

Esta debería ser la velocidad con que llega al suelo.

Exitos

La magnitud de la velocidad con la que choca con el suelo es aproximadamente 126.898 metros por segundo.

Si despreciamos los efectos de la viscosidad del aire y la aceleración de Coriolis, entonces el movimiento de la moneda se describe por el movimiento de caída libre, es decir, un movimiento uniforme acelerado debido a la gravedad terrestre. La velocidad final de la moneda es determinada por la siguiente ecuación cinemática:

[tex]v = \sqrt{v_{o}^{2}+2\cdot a\cdot h}[/tex] (1)

Donde:

[tex]v_{o}[/tex] - Velocidad inicial, en metros por segundo.[tex]a[/tex] - Aceleración, en metros por segundo al cuadrado.[tex]h[/tex] - Altura, en metros.[tex]v[/tex] - Velocidad final, en metros por segundo.

Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]a = 9.807\,\frac{m}{s^{2}}[/tex] y [tex]h = 821\,m[/tex], entonces la velocidad final de la moneda es:

[tex]v = \sqrt{\left(0\,\frac{m}{s} \right)^{2}+2\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (821\,m)}[/tex]

[tex]v\approx 126.898\,\frac{m}{s}[/tex]

La magnitud de la velocidad con la que choca con el suelo es aproximadamente 126.898 metros por segundo.

Invitamos cordialmente a ver esta pregunta sobre el movimiento en caída libre: https://brainly.com/question/16899214

mineral salt compounds (calcium chloride, table salt)

Answers

Answer:

Chloride and Salt

Explanation:

that make up table salt, a.k.a. sodium chloride (NaCl). ... As sodium chloride (NaCl) or calcium chloride (CaCl2) dissolve in water, ... the compound formed when a positive ion combines with a negative ion out of solution, but ... waters may have more if there is weathering or leaching from nearby mineral-rich soils and rocks.

A box of books weighing 315 N is shoved across the floor by a force of 477 N exerted downward at an angle of 35° below the horizontal. If the coefficient of kinetic friction between the box and the floor is 0.58, how long does it take to move the box 4.20 m starting from rest?

Answers

Answer:

It takes 1.14 s to move the box 4.20 m.

Explanation:

Using Newton's second law we have:

[tex]Fcos(35)-F_{f}=ma[/tex]

[tex]Fcos(35)-\mu mg=ma[/tex]

F is the force exerted and m the mass of the books

[tex]Fcos(35)-\mu mg=ma[/tex]

[tex]477cos(35)-(0.58*315)=\frac{315}{9.81}a[/tex]

So, the books accelerate at:

[tex]a=6.48\: m/s^{2}[/tex]

We know that the initial velocity is zero, so using the kinematic position equation, we have:

[tex]x=\frac{1}{2}at^{2}[/tex]

So, we just need to solve the equation for t.

[tex]4.2=\frac{1}{2}6.48t^{2}[/tex]

[tex]t=\sqrt{\frac{2*4.2}{6.48}}[/tex]

Taking the positive value of t:

[tex]t=1.14\: s[/tex]

Therefore, it takes 1.14 s to move the box 4.20 m.

I hope it helps you!

How many straight edges does a cube have

Answers

12 is correct

Explanation: it's a cube

Answer:

12

Explanation:

(95kg)x(-6.549m/s)
I will give you 23 points if you answer this question

Answers

Answer:

-622.155N

Explanation:

I'm not entirely sure what physics you're doing but uh alright.

5. A car accelerates from 0 to 72 km/hour in 8.0 seconds. What is the car's acceleration?

Answers

Answer:

2.5 m/s

Explanation:

There are calculators online that can help you easily calculate the accerlation.

tartaric acid is present in spinach true or false ​

Answers

Answer:

false

Explanation:

because Oxalic acid is present in spinach

MARK ME AS BRAINLIST

How many kgs are in 1000N?​

Answers

Answer:

this much I think 101.9716212978

Answer:

approximately 102kg

Explanation:

1 kg on the surface of the Earth weighs 9.80665 N

1000 N = 1000/9.80665 kg = 102 kg

giving me brainliest will make my day

Round off to the nearest one (units place):
(a) 57.326 57.000
(b) 8.808
(c) 290.752
(d) 1394.301
(e) 434.28​

Answers

Answer:

a

Explanation:

Answer:

(a) 57

(b) 9

(c) 291

(d) 1394

(e) 434

will mark as brainliest !! plz answer it
Plzzz answer with explnation!!!
the value of acceleration due to gravity (g) will be maximum at:
a) 1/2 of the radius of earth
b) 1/4 of the radius of earth
c) 1/8 of the radius of earth

Answers

Answer:

1/4

Explanation:

pls mark me as brainliest thanks

Don’t listen to the other guy. I answered on your other comment!

What does attributed mean

Answers

Answer:

attribute is defined as a quality or characteristic of a person, place, or thing

Explanation:

Answer:

regard something as being caused by (someone or something).

Explanation:

Online dictionary

An 18kg block moving at 6 m/s has kinetic energy of

Answers

½ × 18 × 6² = 324 J

hope that helps^^

what is conduction, and does it occurs only in solids?

Answers

Conduction is the transfer of heat without the actual motion of molecules and it takes place only in solids.

MARK ME BRAINLIST

the process by which heat or electricity is directly transmitted through a substance when there is a difference of temperature or of electrical potential between adjoining regions, without movement of the material.

Conduction takes place in solids, liquids and gases

Which object has the most kinetic energy? A. Object 1 B. Object 2 C. Object 3 D. Object 4

Answers

Answer:

the answer is A because it has the least number but high in energy

A cat pushes a 0.25-kg toy with a net force of 8n. According to Newton's second law of motion, what is the acceleration of the ball?

Answers

Sorry sorry forgot

Answer:

a = 32 m/s sq

Explanation:

what is biodiversity​

Answers

Answer:

Biodiversity is the variety and variability of life on Earth. Biodiversity is typically a measure of variation at the genetic, species, and ecosystem level. Terrestrial biodiversity is usually greater near the equator, which is the result of the warm climate and high primary productivity.

Explanation:

hope it helped <3

Bronco the skydiver, whose mass is 80 kg experiences 200 N of air resistance and gravity pulls on him with 800 N What is the acceleration of his fall?

Answers

H E R E I S T H E A N S W E R

Bronco the skydiver, whose mass is 80 kg experiences 200 N of air resistance and gravity pulls on him with 800 N. The acceleration of his fall  7.5 m/sec².

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

To find the acceleration,

   F = mg

   F = 80.(10)

   F = 800 N

   air resistance = 200 N

   Net force = F - air resistance

                = 800 - 200

                =  600 N

   600 = mass . acceleration

   600 = 80 . acceleration

   acceleration = 7.5 m/sec²

Bronco the skydiver, whose mass is 80 kg experiences 200 N of air resistance and gravity pulls on him with 800 N. The acceleration of his fall  7.5 m/sec².

To learn more about force refer to the link:

brainly.com/question/13191643

#SPJ2

why is sun called a source of light??​

Answers

Answer:

because he give heat and energy

What is another term that refers to foodborne illness?

Answers

What the other person said !!

Are moons 1-4 waxing are waning ?

Answers

Answer:

I want to help you but i cant.

Explanation:

please provide a screenshot or photos of moons 1-4

A ball dropped and accelerates downwards at a rate of 10m/s^2 for 15 seconds how much will the balls velocity increase

Answers

Answer:

v = 150 m/s

Explanation:

Given that,

The acceleration of the ball, a = 10 m/s²

Time, t = 15 s

We need to find the increase in ball's velocity. When it is dropped its initial velocity is equal to 0. Let v be the velocity,

v = u+at

v = 0 +10(15)

v = 150 m/s

So, the ball's final velocity is 150 m/s.

give three example what are the aims of each team in playing basketball?​

Answers

Answer:

The main objective of basketball is to make a goal and score points.Each team should not only try to make a goal and prevent the opposite team from taking control of the ball, but should also try to protect the basket in their court and prevent the opponent from making a goal.

hope that helps..

An 12 kg object accelerating from 9 m/s to 14 m/s. What is the change in momentum of the object?

Answers

Answer:

Change in momentum = 60kgm/s.

Explanation:

Given the following data;

Mass, m = 12kg

Initial velocity, u = 9m/s

Final velocity, v = 14m/s

Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

[tex] Momentum = mass * velocity [/tex]

To find the change in momentum;

Mathematically, change in momentum is given by the formula

[tex] Change \; in \; momentum = m(v - u) [/tex]

Substituting into the equation, we have;

[tex] Change \; in \; momentum = 12(14 - 9) [/tex]

[tex] Change \; in \; momentum = 12*5[/tex]

Change in momentum = 60kgm/s.

Other Questions
what is light energy How might a large change in temperature cause the need for more Oil usage? pls help ill give brainliest if you give a correct answer!! Your family got a coupon for 35% off at Red Robin. Your bill comes to $45.00 before you use the coupon. Sales tax on the discounted meal is calculated at 8%. You then leave a 15% tip based on the original cost of the meal. How much will dinner and tip cost? Jenna's class brought in 40 pieces of fruit for a celebration and 32 pieces of fruit were eaten. What percentage of the fruit was NOT eaten? Why is it important that you put the polynomial in standard form (largest powerto smallest-power)? * Based on the map, what weather conditions are residents of New York currently experiencing? Explain why the metals conduct electricitywrite in your own words please, don't copy-paste from internet what is the description of this proces:a) rock surface heats up and expands Could someone Please Help me with this?!?!?!?! Kimmy drew the number line below and wrote the comparison shown. Is her comparison correct? Assuming 84.0% efficiency for the conversion of electrical power by the motor, what current must the 13.0-V batteries of a 716 kg electric car be able to supply to climb a 3.00 x 102 m high hill in 2.00 min at a constant 22.0 m/s speed while exerting 7.00 x 102 N of force to overcome air resistance and friction NEEd HELp ASAP AlGEBRA 1 The results of Zimbardo's Stanford prison simulation indicated that Select one: a. prison brutality is a product of the unique traits of prisoners and guards. b. playing the roles of prisoners and guards can harden and embitter ordinary people. c. authoritarianism is a primary cause of prejudice and aggression. d. crowding is a primary cause of prison violence. !!!!HELP ASAP I AM IN THE MIDDLE OF A FINAL EXAM!!!!!!!!!!By 2016, how much was the United States spending per hour for the total cost of all of the wars being fought?Eight hundred thousandEight millionEight billionEight trillion What is the percent of increase from 25 to 26? Look at this famous expression: A penny saved is a penny earned. Many people think this is true. It's not how much you earn that's important, but how much you save. What do you think?AgreeDisagreeExplain your response in 1-2 sentences Given f(x) = -(x - 5)^2 + 1, what is the value of a? Which of the following statements is not true? Many Fortune 500 U.S. firms derive more than half their revenues from foreign operations. Technology companies are particularly dependent on offshore revenue. Eighty percent of the toys sold in the United States are manufactured in China. Most PCs manufactured in China use microprocessor chips manufactured in Korea. In 2017, 60 percent of Apple's revenue was generated outside of the United States. Spanish sentences using direct object pronouns Only need 6-8! Will give brainlist