Imagine another solar system, with a star of the same mass as the Sun. Suppose a planet with a mass twice that of Earth (2MEarth) orbits at a distance of 1 AU from the star. What is the orbital period of this planet? Hint: Think about how the mass of the Sun compares with the mass of the Earth. a. 3 months b. 6 months
c. 1 year d. 2 years
e. It would not be able to orbit at this distance.

Answers

Answer 1

The correct answer is option D.2 years

What is Kepler's third law of planetary motion?

According to Kepler's Third Law of Planetary Motion, T² is proportional to r³, where T is the period of revolution of the planet and r is the distance between the planet and the star.

In order to solve for T,

AU = 1

Astronomical Unit = the average distance between the Earth and the Sun = 149.6 million kilometres

Therefore, the planet is orbiting at a distance of 149.6 million kilometres from the star.

Substituting the values of r and solving for

T².T² ∝ r³T² ∝ (149.6)³T²

= (149.6)³T²

= 3.522 x 10¹²T

= √3.522 x 10^¹²T

= 1.87 x 10⁶ seconds

T = 31,100 minutes

T = 518 hours

T = 21.6 days

T = 2 years

Therefore, the orbital period of the planet with twice the mass of Earth orbiting at a distance of 1 AU from a star with the same mass as the Sun is 2 years.

To know more about Kepler's third law of planetary motion:

https://brainly.com/question/4978861

#SPJ11

Related Questions

charge q1 is distance s from the negative plate of a parallel-plate capacitor. charge is distance 2s from the negative plate. what is the ratio of their potential energies?

Answers

The electric potential energy, U, of two point charges is given by the equation, U = kq1q2/r where k is Coulomb's constant, q1 and q2 are the charges and r is the distance between the two charges. Now, let's solve the question using this equation. There are two charges, q1 and q2, and a parallel plate capacitor between them. The distance of q1 from the negative plate is s, and the distance of q2 from the negative plate is 2s. The charges have the same magnitude of charge, so let's assume q1 = q2 = q. Using the formula mentioned earlier, we get U1= kq^2/sU2= kq^2/2s. Therefore, the ratio of their potential energies is U2/U1= kq^2/2s / kq^2/sU2/U1= (kq^2/2s) × (s/kq^2)U2/U1= 1/2.

Therefore, the ratio of their potential energies is 1:2.

For more information regarding this topic, you can click the below link

https://brainly.com/question/14306881

#SPJ11

in one cycle a heat engine absorbs 480 j from a high-temperature reservoir and expels 320 j to a low-temperature reservoir. if the efficiency of this engine is 56% of the efficiency of a carnot engine, what is the ratio of the low temperature to the high temperature in the carnot engine?

Answers

The ratio of the low temperature to high temperature of the Carnot engine is 2.38.

What is the efficiency of Carnot engine?

The efficiency of the Carnot engine can be defined as the ratio of network done per cycle by the engine to the heat energy absorbed by the engine per cycle by the working substance from the source.

Efficiency = 1 - (Tlow/Thigh)

Heat absorbed by engine = 480J

Heat expelled by engine = 320J

Efficiency of the engine = 56% of efficiency of Carnot engine

The ratio of low temperature to high temperature in the Carnot engine.

Let's assume the efficiency of the Carnot engine is 'ηc' = 1 - T₂/T₁

Where, T₂ = Low temperature and T₁ = High temperature

To calculate the efficiency of the engine given, η = (Q1 - Q2)/Q1

η = (480 - 320)/480

η = 160/480

η = 1/3

η = 33.33%

Now, η = 56% × ηc

0.56ηc = 1/3ηc = (1/3)/0.56 = 0.58

As we already know, ηc = 1 - T₂/T₁

T₂/T₁ = 1 - ηc

T₂/T₁ = 1 - 0.58

T₂/T₁ = 0.42

T₁/T₂ = 1/0.42

T₁/T₂ = 2.38

Therefore, the ratio of low temperature to high temperature in the given Carnot engine with an efficiency of 56% will be about 2.38.

Learn more about Carnot engine here:

https://brainly.com/question/14680478

#SPJ11

A student walks 1.0 kilometer due east and 1.0 kilometer due south. Then
she runs 2.0 kilometers due west. The magnitude of the student's
resultant displacement is closestto
A. 3.4 km
B. 1.4 km
C. 4.0 km
D. O km

Answers

The resulting displacement will be 3.4 km. The correct option is A.

How to calculate the displacement?

The displacement is calculated by finding the displacement from east to west, which is 2.0 km, and subtracting the displacement from north to south, which is 1.0 km.

A student walks 1.0 kilometers due east and 1.0 kilometers due south. Then she runs 2.0 kilometers due west. The magnitude of the student's resultant displacement is closest to 3.4 km.

To begin with, we may use the Pythagorean Theorem to determine the resultant displacement's magnitude. The Pythagorean Theorem is a formula that is used to determine the length of a right triangle's sides when one is missing. This theorem is used to calculate the magnitude of the resultant displacement, which is a quantity. It's a good idea to draw a diagram to help you understand the problem.

Here's a rough sketch of the scenario: We will now apply the Pythagorean theorem in this way: The resultant displacement's magnitude is 3.4 kilometers. Thus, the correct option is A.

To know more about displacement follow

https://brainly.com/question/14637077

#SPJ11

hydroelectric, wind, geothermal, and parabolic solar collection all rely on spinning turbines (connected to a generator) to produce electricity. explain how each provides the force to do so.

Answers

Hydroelectric energy is generated by capturing the energy of flowing water. As water flows through a turbine, the blades of the turbine spin and generate electricity.

How does the different energies provide force?

Wind energy is generated by capturing the kinetic energy of the wind. As wind passes through the turbine, the blades spin and generate electricity.

Geothermal energy is generated by harnessing the natural heat of the Earth’s core. Heat from the Earth’s core is used to generate steam, which is then used to spin a turbine and generate electricity.

Parabolic solar collection is a method of collecting the sun’s energy using large reflective mirrors. The mirrors focus the sunlight onto a central point, which is then used to spin a turbine and generate electricity.

Thus, all of these power sources rely on spinning turbines connected to a generator to produce electricity.

Answers

"The surface of the sun appears sharp in visible light because the photosphere is thin compared to the other layers in the sun."

Most of the electromagnetic energy that reaches the earth begins in the photosphere, the area of the sun that is visible to us. The photosphere is referred to as the sun's surface, despite the fact that it is a gaseous entity.

The gas in the photosphere appears to have a sharp surface, but in reality, it is heavier lower in the Sun and less dense higher up. It is more transparent the less thick it is. The area of the gas that is visible to us is where it has largely become translucent. About 300 km of this layer are deep.

The photosphere is the line separating the core of the Sun from its atmosphere. It is the part of the Sun's surface that is visible to us. The photosphere is not like a planet's surface; even if you could stand in the sun, you couldn't do so on the photosphere.

To know more about Sun:

https://brainly.com/question/12498469

#SPJ4

Discuss three applications of the effects of surface tension.

Answers

1. Surface tension: is the property of the liquid by virtue of which the free surface of liquid at rest tends to have minimum surface area and as such it behaves as if covered with a stretched membrane.

2. Effect of Surface tension:
Surface tension of soap solution is less, it can spread over large areas and wash clothes more effectively, since the dirt particles stick to the soap molecules.
In soldering, addition of flux reduces the surface tension of molten tin. Hence, it spreads.
Antiseptics like dettol have low surface tension, so that they spread faster.
Surface tension prevents water from passing through the pores of an umbrella.
A duck is able to float on water as its feathers secrete oil that lowers the surface tension of water.

Other Questions

50 POINTSSSS DUE BY TOMORROW !!!!Entrepreneurship and MicroenterpriseProject: Entrepreneurship and Microenterprise Create a policy proposal that will increase youth social entrepreneurship in a developing nation.Questions: How can government policies support and sustain innovative, community-focused, youth- run small businesses? The following materials standards have been established for a particular product:Standard quantity per unit of output4.9 gramsStandard price$12.00 per gramsThe following data pertain to operations concerning the product for the last month:Actual materials purchased3,800 gramsActual cost of materials purchased$44,270Actual materials used in production3,100 gramsActual output570 unitsThe direct materials purchases variance is computed when the materials are purchased.Required:a. What is the materials price variance for the month?b. What is the materials quantity variance for the month? when an expatriate came to work with stephan's department, stephan created a comfort zone for the expatriate by adopting the expatriate's general posture and communication style without resorting to mockery. what is stephan doing? european pastries has an isurable loss of 82,500, while having insurance coverage beyond coinsurance reuirements. the insurance is divided between company a with $125,000 coverage, company b with $100,000 coverage, and company c with 175,000 coverage. find the amount of loss paid by each of the insurance companies 60 identical machines in a factory pack 150 crates of limes per daybetween them.a) Write the ratio of the number of machines to the number of cratespacked per day in the form 1: n.b) How many crates of limes would 70 of these machines pack per day?Give any decimals in your answers to 1 d.p. Which of the following three people is most closely aligned with the theory and practice of volunteerism? A. Tessie Mobley B. Paul Robeson C. Herbert Hoover P, Q, R, S, T and U are different digits.PQR + STU = 407 We know that Paz is trying to produce ammonia (NH3) from thin air. From looking at the experimental set-up, what are the reactants? a) NO2 and H20 b) N2 and H2 c) NO2 and H2 d) N2 and H20 Estimating the within-group variance. Refer to the previous exercise. Here are the cell standard deviations and sample sizes for cooking enjoyment: Find the pooled estimate of the standard deviation for these data. Use the rule for examining standard deviations in ANOVA from Chapter 12 (page 560) to determine if it is reasonable to use a pooled standard deviation for the analysis of these data. give three examples of contracts you are currently a part of or have been a part of in the past. identify whether they are unilateral or bilateral; express or implied; executed or executory. Why does volunteering promote personal wellness? A concise diagram of a fruit When the following two solutions are mixed:K2CO3(aq)+Fe(NO3)3(aq)the mixture contains the ions listed below. Sort these species into spectator ions and ions that react.Drag the appropriate items to their respective bins.NO3-)aq), Fe3+ , CO3 2-, K+Part BWhat is the correct net ionic equation, including all coefficients, charges, and phases, for the following set of reactants? Assume that the contribution of protons from H2SO4 is near 100 %.Ba(OH)2(aq)+H2SO4(aq)? critics of the world trade organization . charge that it gives too much money to environmental causes complain that it frequently worsens environmental problems discriminates against developing nations say that the international taxes that it regulates are burdensome to smaller countries charge that the wto's subsidy policies unfairly target poor people Two pieces of clay, one white and one gray, are thrown through the air. Themwhite clay has a momentum of 25 kg, and the gray clay has aSmomentum of -30 kg immediately before they collide.What is the magnitude and direction of their final momentum immediatelyafter the collision?Your answer should have one significant figure.hkg.m-mSS What is provides a reference for coding outpatient services such as vaccinations, ear canal irrigation, and osteopathic manipulation services? please help i have been trying to get an answer for 5+ hoursHow is the quotient of 556 and 16 determined using an area model?Enter your answers in the boxes to complete the equations. Your final answer should be a mixed number in simplest form. Give the interval(s) on which the function is continuous.g(t) = 1/16-t^2 To the nearest hundredth, what is the volume of the sphere? (Use 3.14 for pie.) If P = 2y + 4xy + 4Q = 3y + 7 - 3xy R=- 3xy + 8Find P+Q=R.