The star Rho' Cancri is 57 light-years from the earth and has a mass 0.85 times that of our sun. A planet has been detected in a circular orbit around Rho' Cancri with an orbital radius equal to 0.11 times the radius of the earth's orbit around the sun. Part A For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of A satellite orbit. What is the orbital speed of the planet of Rho' Cancri? Express your answer in kilometers per second. Πνα ΑΣφ ? km/s Part B What is the orbital period of the planet of Rho' Cancri? Express your answer in seconds. ? T =

The star Rho' Cancri is 57 light-years from the earth and has a mass 0.85 times that of our sun. A planet has been detected in a circular orbit around Rho' Cancri with an orbital radius equal to 0.11 times the radius of the earth's orbit around the sun. Part A For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of A satellite orbit. What is the orbital speed of the planet of Rho' Cancri? Express your answer in kilometers per second. Πνα ΑΣφ ? km/s Part B What is the orbital period of the planet of Rho' Cancri? Express your answer in seconds. ? T =

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter13: Gravitation

Section: Chapter Questions

Problem 88CP: Find the Hohmann transfer velocities, vEllipseEarth and vEllipseMars ,needed for a trip to Mars. Use...

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Check Your Understanding The nearly circular orbit of Saturn has an average radius of about 9.5 AU and has a period of 30 years, whereas Uranus averages about 19 AU and has a period of 84 years. Is this consistent with our results for Halley’s comet?
Show that the areal velocity for a circular orbit of radius r about a mass M is At=12GMr . Does your expression give the correct value for Earth’s areal vilocity about the Sun?
Since 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility that there is life on one or more of these planets. To support life similar to that on the Earth, the planet must have liquid water. For an Earth-like planet orbiting a star like the Sun, this requirement means that the planet must be within a habitable zone of 0.9 AU to 1.4 AU from the star. The semimajor axis of an extrasolar planet is inferred from its period. What range in periods corresponds to the habitable zone for an Earth-like Planet orbiting a Sun-like star?
(a) What is the approximate force of gravity on a 70kg person due to the Andromeda galaxy, assuming its total mass is 1013 than of our Sun and acts like a single mass 2 Mly away? (b) What is the ratio of this force to the person's weight? Note that Andromeda is the closest large galaxy.
When Sedna was discovered in 2003, it was the most distant object known to orbit the Sun. Currently, it is moving toward the inner solar system. Its period is 10,500 years. Its perihelion distance is 75 AU. a. What is its semimajor axis in astronomical units? b. What is its aphelion distance?
What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?
Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0104 light-years from its center. (a) What should the orbital period of that star be? (b) If its period is 6.0107 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of the Milky Way.
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.)
(a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.
Given that a satellite has to be shifted 300km further from Earth than it's original geosynchronous orbit (that has period = 24hrs & radial distance of 42300km from center of the planet). Using most of the derivations from Newton's 2nd Law, a. what is the orbital period of the new orbit after shifting in hrs? b. How much energy would it take to move to new orbit if mass of satellite = 6350kg ? Givens -> Mass of earth = 5.98x10^24 kg G= 6.673x10^-11 (you can use other constants)
Mars has a Known radius of 3390 Km. Somebody threw a baseball at 990 Km/hr and it orbited the planer succesfuly. a) determine the period of orbit in secords b) Determine the gravitational field strength on Mars in N/Kg (how can I do that if I don´t have the mass of Mars)
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