In recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these planets are in orbits that are similar to that of earth, which orbits the sun (Msun = 1.99 × 1030 kg) at a distance of 1.50 × 1011 m, called 1 astronomical unit (1 au). Others have extreme orbits that are much different from anything in our solar system. Problems 47–49 relate to some of these planets that follow circular orbits around other stars.
48. HD 10180g orbits with a period of 600 days at a distance of 1.4 au from its star. What is the ratio of the star’s mass to our sun’s mass?
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
College Physics: A Strategic Approach Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition) (What's New in Astronomy & Physics)
Additional Science Textbook Solutions
Biology: Life on Earth (11th Edition)
Human Physiology: An Integrated Approach (8th Edition)
Concepts of Genetics (12th Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Organic Chemistry (8th Edition)
Applications and Investigations in Earth Science (9th Edition)
- Model the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest distance (apogee) from the center of the Earth is rA = 4.05 108 m, and its closest distance (perigee) is rP = 3.63 108 m. a. Calculate the semimajor axis of the Moons orbit. b. How far is the Earth from the center of the Moons elliptical orbit? c. Use a scale such as 1 cm 108 m to sketch the EarthMoon system at apogee and at perigee and the Moons orbit. (The semiminor axis of the Moons orbit is roughly b = 3.84 108 m.)arrow_forwardThe Sun has a mass of approximately 1.99 1030 kg. a. Given that the Earth is on average about 1.50 1011 m from the Sun, what is the magnitude of the Suns gravitational field at this distance? b. Sketch the magnitude of the gravitational field due to the Sun as a function of distance from the Sun. Indicate the Earths position on your graph. Assume the radius of the Sun is 7.00 108 m and begin the graph there. c. Given that the mass of the Earth is 5.97 1024 kg, what is the magnitude of the gravitational force on the Earth due to the Sun?arrow_forwardThe astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 600 km above the Earth’s surface, where the free-fall acceleration is 8.21 m/s2. Take the radius of the Earth as 6 400 km. Determine the speed of the satellite and the time interval required to complete one orbit around the Earth, which is the period of the satellite. Figure P3.27arrow_forward
- (a) Find the magnitude of the gravitational force between a planet with mass 7.50 1024 kg and its moon, with mass 2.70 1022 kg, if the average distance between their centers is 2.80 108 m. (b) What is the acceleration of the moon towards the planet? (c) What is the acceleration of the planet towards the moon?arrow_forwardPlanetary orbits are often approximated as uniform circular motion. Figure P7.9 is a scaled representation of a planets orbit with a semimajor axis of 1.524 AU. a. Use Figure P7.9 to find the ratio of the Suns maximum gravitational field to its minimum gravitational field on the planets orbit. b. What is the ratio of the planets maximum speed to its minimum speed? c. Comment on the validity of approximating this orbit as uniform circular motion.arrow_forwardA satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.4 × 107 m. The mass of the planet is M = 4.4 × 1024 kg. Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite. F = Express the magnitude of the centripetal acceleration ac of the satellite in terms of the speed of the satellite v, and R. ac = Express the speed v in terms of G, M and R. v = Calculate the numerical value of v, in m/s. v =arrow_forward
- A planet has a mass of 5.98 x 10²4 kg. It has an average orbital speed of 2.978 x 104 m/s as it completes a circular orbit. It takes 3.154 x 107 s to make one revolution. What is the average radius of the planet's orbit around the star?arrow_forwardIn recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these planets are in orbits that are similar to that of earth, which orbits the sun (Msun = 1.99 x 1030 kg) at a distance of 1.50 x 1011 m, called 1 astronomical unit (1 au). Others have extreme orbits that are much different from anything in our solar system. The problem relates to some of these planets that follow circular orbits around other stars. WASP-32b orbits with a period of only 2.7 days a star with a mass that is 1.1 times that of the sun. How many au from the star is this planet?arrow_forwardIn recent years, scientists have discovered thousands of exoplanets (planets orbiting stars other than the Sun). Some are in orbits similar to that of Earth, which revolves around the Sun (Msun = 1.99 × 1030 kg) at a distance of 1.50 × 1011 m — a distance defined as 1 astronomical unit (AU). Others have extreme orbits that are very different from anything in our solar system. For example, the exoplanet Kepler-42c circles its star at a distance of 0.0058 AU. Its star is small, having only 0.13 times the mass of the Sun. How long is Kepler-42c’s period of revolution? How does this value compare to Earth’s period of 365 days?arrow_forward
- In recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these planets are in orbits that are similar to that of earth, which orbits the sun (Msun 1.99 x 1030 kg) at a distance of 1.50 x 1011 m, called 1 astronomical unit (1 au). Others have extreme orbits that are much different from anything in our solar system. The following problem relates to one of these planets that follows circular orbit around its star. Part A Kepler-42c orbits at a very close 0.0058 au from a small star with a mass that is 0.13 that of the sun. How long is a "year" on this world? Assume the orbital period of earth is 365 days. Express your answer in hours. 15. ΑΣΦ T = .000122 Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining ? hoursarrow_forwardA satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.8 × 107 m. The mass of the planet is M = 4.8 × 1024 kg. a)Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite. b)Express the magnitude of the centripetal acceleration ac of the satellite in terms of the speed of the satellite v, and R. c) Express the speed v in terms of G, M and R.arrow_forwardO Macmillan Learning A horizontal meter stick has a mass of 211 g. Three weights ride on the meter stick: 255 g at 46.5 cm, 191 g at 82.5 cm, and 197 g at 92.7 cm. At what location on the meter stick would the system be in balance if it were suspended there? location: cmarrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning