The existence of the dwarf planet Pluto was proposed based on irregularities in Neptune's orbit. Pluto was subsequently discovered near its predicted position. But it now appears that the discovery was fortuitous, since Pluto is small and the irregularities in Neptune's orbit were not well known. Answer the following to illustrate that Pluto has a minor effect on the orbit of Neptune compared with other planets (a) Calculate the acceleration of gravity at Neptune due to Pluto when they are 2.0 x 1012 m apart. The mass of Pluto is 1.3 x 1022 kg. 9, = ]m/s² (b) Calculate the acceleration of gravity at Neptune due to Uranus, when they are 2.0 x 1012 m apart. The mass of Uranus is 8.68 x 1025 kg. 92 = m/s2 Give the ratio of this acceleration to that due to Pluto. 92 - 9,

The existence of the dwarf planet Pluto was proposed based on irregularities in Neptune's orbit. Pluto was subsequently discovered near its predicted position. But it now appears that the discovery was fortuitous, since Pluto is small and the irregularities in Neptune's orbit were not well known. Answer the following to illustrate that Pluto has a minor effect on the orbit of Neptune compared with other planets (a) Calculate the acceleration of gravity at Neptune due to Pluto when they are 2.0 x 1012 m apart. The mass of Pluto is 1.3 x 1022 kg. 9, = ]m/s² (b) Calculate the acceleration of gravity at Neptune due to Uranus, when they are 2.0 x 1012 m apart. The mass of Uranus is 8.68 x 1025 kg. 92 = m/s2 Give the ratio of this acceleration to that due to Pluto. 92 - 9,

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And Gravitation

Section: Chapter Questions

Problem 47AP: (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77...

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(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.
Calculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?
On a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?
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.)
Exoplanet Taphao Keow is a Jupiter-sized planet orbiting another star. It has a mass of approximately 1×10+27[kg]. Its actual radius is not currently known, but we do know that the radius of Jupiter is 7×107[m]. Question: If Taphao Keow had a radius that was the same radius as Jupiter, what would it's local surface gravitational acceleration be? O 266 [m/s2] 124 [m/s²] 70 [m/s²] O 24 [m/s²] O 14 [m/s²] It would have a gravitational acceleration far larger than any of the other answers (many orders of magnitude larger) It would have a gravitational acceleration far smaller than any of the other answers (many orders of magnitude larger)
The existence of the dwarf planet Pluto was proposed based on irregularities in Neptune's orbit. Pluto was subsequently discovered near its predicted position. But it now appears that the discovery was fortuitous, because Pluto is small and the irregularities in Neptune's orbit were not well known. To illustrate that Pluto has a minor effect on the orbit of Neptune compared with the closest planet to Neptune, answer the following questions. (a) Calculate the acceleration (in m/s2) due to gravity at Neptune due to Pluto when they are 4.70 ✕ 1012 m apart, as they are at present. The mass of Pluto is 1.4 ✕ 1022 kg. (b) Calculate the acceleration (in m/s2) due to gravity at Neptune due to Uranus, presently about 3.00 ✕ 1012 m apart. The mass of Uranus is 8.62 ✕ 1025 kg. Give the ratio of this acceleration to that due to Pluto. acceleration from (b)/acceleration due to Pluto=
The existence of the dwarf planet Pluto was proposed based on irregularities in Neptune's orbit. Pluto was subsequently discovered near its predicted position. But it now appears that the discovery was fortuitous, because Pluto is small and the irregularities in Neptune's orbit were not well known. To illustrate that Pluto has a minor effect on the orbit of Neptune compared with the closest planet to Neptune, answer the following questions. (a) Calculate the acceleration (in m/s2) due to gravity at Neptune due to Pluto when they are 5.00 ✕ 1012 m apart, as they are at present. The mass of Pluto is 1.4 ✕ 1022 kg. m/s2 (b) Calculate the acceleration (in m/s2) due to gravity at Neptune due to Uranus, presently about 2.50 ✕ 1012 m apart. The mass of Uranus is 8.62 ✕ 1025 kg. m/s2 Give the ratio of this acceleration to that due to Pluto. acceleration from (b) acceleration due to Pluto =
Neptune orbits the Sun with an orbital radius of 4.495 x 10^12 m. If the earth to sun distance 1 A.U. = 1.5 x 10^11 m, a) Determine how many A.U.'s is Neptune's orbital radius (Round to the nearest tenth). b) Given the Sun's mass is 1.99 x 10^30 kg , use Newton's modified version of Kepler's formula T^2 = (4pi^2/Gm(star)) x d^3 to find the period in seconds using scientific notation. (Round to the nearest thousandth). c) Convert the period in part b) to years(Round to the nearest tenth).
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The existence of the dwarf planet Pluto was proposed based on irregularities in Neptune’s orbit. Pluto was subsequently discovered near its predicted position. But it now appears that the discovery was fortuitous, because Pluto is small and the irregularities in Neptune’s orbit were not well known. To illustrate that Pluto has a minor effect on the orbit of Neptune compared with the closest planet to Neptune: (a) Calculate the acceleration due to gravity at Neptune due to Pluto when they are 4.50×1012m apart, as they are at present. The mass of Pluto is 1.4×1022kg. (b) Calculate the acceleration due to gravity at Neptune due to Uranus, presently about 2.50×1012m apart, and compare it with that due to Pluto. The mass of Uranus is 8.62×1025kg.
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(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.