UNIVERSE LL W/SAPLINGPLUS MULTI SEMESTER
11th Edition
ISBN: 9781319278670
Author: Freedman
Publisher: MAC HIGHER
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Chapter 4, Problem 47Q
To determine
The manner in which the discovery of Neptune is an important confirmation of Newton’s law of gravitation.
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Chapter 4 Solutions
UNIVERSE LL W/SAPLINGPLUS MULTI SEMESTER
Ch. 4 - Prob. 1CCCh. 4 - Prob. 2CCCh. 4 - Prob. 3CCCh. 4 - Prob. 4CCCh. 4 - Prob. 5CCCh. 4 - Prob. 6CCCh. 4 - Prob. 7CCCh. 4 - Prob. 8CCCh. 4 - Prob. 9CCCh. 4 - Prob. 10CC
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- Todays employees are rewarded for thinking outside the box. In what ways did Kepler think outside the box?arrow_forwardA newly discovered planet orbits a distant star with the same mass as the Sun at an average distance of 122 million kilometers. Its orbital eccentricity is 0.6. What is the planet's orbital period? And how do you find the planet's nearest and farthest orbital distances from its star?arrow_forwardMatch Kepler Laws with the correct description. * Kepler's First Law Kepler's Second Law Kepler's Third Law A planet sweeps out equal areas in equal time frames as it orbits the Sun. Orbits are ellipses with the Sun at a focus. The orbital period is related to the average distance from the Sun.arrow_forward
- If G = 6.674 ⨉ 10 −11m3/kg/s2, the orbital period of Saturn’s moon Titan is 15.95 days, and the orbital distance of Titan is 1.222 ⨉ 10 9 m, then, from Kepler’s third law in #4, what is the mass of Saturn?arrow_forwardwhy is pluto not a planetarrow_forwardTrue or false the weight of an object measured on planet 3 is a result of gravity ?arrow_forward
- Show mathematically how Kepler’s third law can be derived from Newton’s law of universal gravitation. Hint: use the centripetal force (force directed towards the center) which is equal to the gravitational force in orbital motion.arrow_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_forwardThe 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=arrow_forward
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