Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 9.1, Problem 9.1CYU
To determine
The property that differs Pluto from all other planets.
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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, 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 of (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:
(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.
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 4.50×1012 m apart, as they are at
present. The mass of Pluto is 1.4×1022 kg .
(b) Calculate the acceleration due to gravity at Neptune due
to Uranus, presently about 2.50×1012 m apart, and
compare it with that due to Pluto. The mass of Uranus is
8.62×1025 kg .
Chapter 9 Solutions
Understanding Our Universe
Ch. 9.1 - Prob. 9.1CYUCh. 9.2 - Prob. 9.2CYUCh. 9.3 - Prob. 9.3CYUCh. 9.4 - Prob. 9.4CYUCh. 9.5 - Prob. 9.5CYUCh. 9.6 - Prob. 9.6CYUCh. 9 - Prob. 1QAPCh. 9 - Prob. 2QAPCh. 9 - Prob. 3QAPCh. 9 - Prob. 4QAP
Ch. 9 - Prob. 5QAPCh. 9 - Prob. 6QAPCh. 9 - Prob. 7QAPCh. 9 - Prob. 8QAPCh. 9 - Prob. 9QAPCh. 9 - Prob. 10QAPCh. 9 - Prob. 11QAPCh. 9 - Prob. 12QAPCh. 9 - Prob. 13QAPCh. 9 - Prob. 14QAPCh. 9 - Prob. 15QAPCh. 9 - Prob. 16QAPCh. 9 - Prob. 17QAPCh. 9 - Prob. 18QAPCh. 9 - Prob. 19QAPCh. 9 - Prob. 20QAPCh. 9 - Prob. 21QAPCh. 9 - Prob. 22QAPCh. 9 - Prob. 23QAPCh. 9 - Prob. 24QAPCh. 9 - Prob. 25QAPCh. 9 - Prob. 26QAPCh. 9 - Prob. 27QAPCh. 9 - Prob. 28QAPCh. 9 - Prob. 29QAPCh. 9 - Prob. 30QAPCh. 9 - Prob. 31QAPCh. 9 - Prob. 32QAPCh. 9 - Prob. 33QAPCh. 9 - Prob. 34QAPCh. 9 - Prob. 35QAPCh. 9 - Prob. 36QAPCh. 9 - Prob. 37QAPCh. 9 - Prob. 38QAPCh. 9 - Prob. 39QAPCh. 9 - Prob. 40QAPCh. 9 - Prob. 41QAPCh. 9 - Prob. 42QAPCh. 9 - Prob. 43QAPCh. 9 - Prob. 44QAPCh. 9 - Prob. 45QAP
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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, 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 =arrow_forwardwhy is pluto not a planetarrow_forwardA moon of Jupiter takes 1.8 days to orbit at a distance of 4.2 105 km from the center of the planet. What is the total mass of Jupiter plus this moon? (Note: One day is 86,400 seconds.)arrow_forward
- Pluto’s orbit is more eccentric than any of the major planets. What does that mean?arrow_forwardSaturn’s A, B, and C Rings extend 75,000 to 137,000 km from the center of the planet. Use Kepler’s third law to calculate the difference between how long a particle at the inner edge and a particle at the outer edge of the three-ring system would take to revolve about the planet.arrow_forwardAn exoplanetary system has two known planets. Planet X orbits in 290 days and Planet Y orbits in 145 days. Which planet is closest to its host star? If the star has the same mass as the Sun, what is the semi-major axis of the orbits for Planets X and Y?arrow_forward
- Which would have the longer orbital period: a moon 1 million km from the center of Jupiter, or a moon 1 million km from the center of Earth? Why?arrow_forwardWhy was Pluto reclassified as a dwarf planet?arrow_forwardWhy do you think the outer planets have such extensive systems of rings and moons, while the inner planets do not?arrow_forward
- Jupiters moon, lo, loses about 870.0 kg/s of sulfur dioxide to Jupiters magnetosphere. Sulfur dioxide currently makes up 0.83% of lo's mass. How long in years until lo runs out of sulfur dioxide at the current loss rate? Lo has a mass of 1 x 1023kg and there are 3.15x107 seconds in a year.arrow_forwardWhich of the following is NOT a dwarf planet? a. Pluto b. Eris c. Vesta d. Ceres e. Haumea The Earth's magnetic field keeps our planet's a. temperature from rising too much b. moon in its current orbit c. atmosphere safe from the solar wind d. spin axis from wobbling too mucharrow_forwardNewton’s version of Kepler’s third law is P2 = 4 π2 / [G (M1 + M2)] · a3, where G is the gravitational constant, which is equal to 6.67*10-11 m3 kg-1 s-2. NASA's New Horizons mission found that Pluto's moon Charon orbits Pluto every 5.3 days at an average distance of 20400.0 km. What is the combined mass (in kg) of Pluto and Charon?arrow_forward
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