Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 13, Problem 42AP
To determine
To show: The minimum period for a satellite is
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orbit, measured from the center of the planet is R = 2.2 × 107 m. The mass of the planet is M = 6.4 x
1024 kg.
Problem 3: A satellite is orbiting around a planet in a circular orbit. The radius of the
On December 25, 2004, the Huygens probe separated from the Cassini spacecraft orbiting Saturn and began a 22 day journey to Saturn’s moon Titan, on whose surface it landed. Besides the data in Appendix F, it is useful to know that Titan is 1.22 * 10^6 km from the center of Saturn and has a mass of 1.35 * 10^23 kg and a diameter of 5150 km. At what distance from Titan should the gravitational pull of Titan the gravitational pull of Saturn?
On October 15, 2001, a planet was discovered orbiting around
the star HD68988. Its orbital distance was measured to be
Part A
10.5 million kilometers from the center of the star, and its
orbital period was estimated at 6.3 days.
What is the mass of HD68988?
For related problem-solving tips and strategies, you may want
to view a Video Tutor Solution of Kepler's third law.
Express your answer in kilograms.
ΑΣφ
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M =
kg
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Part B
What is the mass of HD68988?
Express your answer in terms of our sun's mass.
M =
Msun
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Chapter 13 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 13.1 - A planet has two moons of equal mass. Moon 1 is in...Ch. 13.2 - Prob. 13.2QQCh. 13.4 - Prob. 13.3QQCh. 13.6 - Prob. 13.4QQCh. 13 - Prob. 1PCh. 13 - During a solar eclipse, the Moon, the Earth, and...Ch. 13 - Determine the order of magnitude of the...Ch. 13 - Prob. 4PCh. 13 - Review. Miranda, a satellite of Uranus, is shown...Ch. 13 - (a) Compute the vector gravitational field at a...
Ch. 13 - A spacecraft in the shape of a long cylinder has a...Ch. 13 - An artificial satellite circles the Earth in a...Ch. 13 - Prob. 9PCh. 13 - A particle of mass m moves along a straight line...Ch. 13 - Use Keplers third law to determine how many days...Ch. 13 - Prob. 12PCh. 13 - Suppose the Suns gravity were switched off. The...Ch. 13 - (a) Given that the period of the Moons orbit about...Ch. 13 - How much energy is required to move a 1 000-kg...Ch. 13 - An object is released from rest at an altitude h...Ch. 13 - A system consists of three particles, each of mass...Ch. 13 - Prob. 18PCh. 13 - A 500-kg satellite is in a circular orbit at an...Ch. 13 - Prob. 20PCh. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Ganymede is the largest of Jupiters moons....Ch. 13 - Prob. 24APCh. 13 - Voyager 1 and Voyager 2 surveyed the surface of...Ch. 13 - Prob. 26APCh. 13 - Prob. 27APCh. 13 - Why is the following situation impossible? A...Ch. 13 - Let gM represent the difference in the...Ch. 13 - A sleeping area for a long space voyage consists...Ch. 13 - Prob. 31APCh. 13 - Prob. 32APCh. 13 - Prob. 33APCh. 13 - Two spheres having masses M and 2M and radii R and...Ch. 13 - (a) Show that the rate of change of the free-fall...Ch. 13 - A certain quaternary star system consists of three...Ch. 13 - Studies of the relationship of the Sun to our...Ch. 13 - Review. Two identical hard spheres, each of mass m...Ch. 13 - Prob. 39APCh. 13 - Prob. 40APCh. 13 - Prob. 41APCh. 13 - Prob. 42APCh. 13 - As thermonuclear fusion proceeds in its core, the...Ch. 13 - Two stars of masses M and m, separated by a...Ch. 13 - The Solar and Heliospheric Observatory (SOHO)...
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- 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?arrow_forwardSuppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forwardLet gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)arrow_forward
- It was stated that a satellite with negative total energy is in a bound orbit, whereas one with zero or positive total energy is in an unbounded orbit. Why zero or positive total energy is in an unbounded orbit. Why is this true? What choice for gravitational potential energy was made such that this is true?arrow_forwardModel 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_forwardA planet has two moons with identical mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. The magnitude of the gravitational force exerted by the planet on Moon 2 is (a) four times as large (b) twice as large (c) the same (d) half as large (e) one-fourth as large as the gravitational force exerted by the planet on Moon 1.arrow_forward
- A planet has two moons with identical mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. The magnitude of the gravitational force exerted by the planet on Moon 2 is (a) four times as large (b) twice as large (c) the same (d) half as large (e) one-fourth as large as the gravitational force exerted by the planet on Moon 1.arrow_forwardIf a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.arrow_forwardShow 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?arrow_forward
- You are working at a summer internship for NASA, working to study exoplanets (planets we have detected around other stars). Calculate the orbital radius (distance of the planet to the star) of the newly detected planet Beta Sirius, if its' orbital period around its star is 5.51 x 107 s. You know from the data that the star has a mass of 2.21 x 1029 kg, and a radius of 2.70 x 106 and the planet has a mass of 3.00 x 1022 kg. Your Answer: Answerarrow_forwardA spherical planet has an outer radius R; its density p varies as a function of distance r given by p(r) = 3 – 2(r²/R²) (so the density is 3 units at the centre, and 1 at the surface r = R). Calculate the mass of the planet.arrow_forward(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.arrow_forward
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