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 3, Problem 45QAP
(a)
To determine
The time taken by Earth-like planet to complete one round around Vega.
(b)
To determine
The speed of the Earth-like planet in its orbit around Vega.
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Chapter 3 Solutions
Understanding Our Universe
Ch. 3.1 - Prob. 3.1CYUCh. 3.2 - Prob. 3.2CYUCh. 3.3 - Prob. 3.3CYUCh. 3.4 - Prob. 3.4CYUCh. 3.5 - Prob. 3.5CYUCh. 3 - Prob. 1QAPCh. 3 - Prob. 2QAPCh. 3 - Prob. 3QAPCh. 3 - Prob. 4QAPCh. 3 - Prob. 5QAP
Ch. 3 - Prob. 6QAPCh. 3 - Prob. 7QAPCh. 3 - Prob. 8QAPCh. 3 - Prob. 9QAPCh. 3 - Prob. 10QAPCh. 3 - Prob. 11QAPCh. 3 - Prob. 12QAPCh. 3 - Prob. 13QAPCh. 3 - Prob. 14QAPCh. 3 - Prob. 15QAPCh. 3 - Prob. 16QAPCh. 3 - Prob. 17QAPCh. 3 - Prob. 18QAPCh. 3 - Prob. 19QAPCh. 3 - Prob. 20QAPCh. 3 - Prob. 21QAPCh. 3 - Prob. 22QAPCh. 3 - Prob. 23QAPCh. 3 - Prob. 24QAPCh. 3 - Prob. 25QAPCh. 3 - Prob. 26QAPCh. 3 - Prob. 27QAPCh. 3 - Prob. 28QAPCh. 3 - Prob. 29QAPCh. 3 - Prob. 30QAPCh. 3 - Prob. 31QAPCh. 3 - Prob. 32QAPCh. 3 - Prob. 33QAPCh. 3 - Prob. 34QAPCh. 3 - Prob. 35QAPCh. 3 - Prob. 36QAPCh. 3 - Prob. 37QAPCh. 3 - Prob. 38QAPCh. 3 - Prob. 39QAPCh. 3 - Prob. 40QAPCh. 3 - Prob. 41QAPCh. 3 - Prob. 42QAPCh. 3 - Prob. 43QAPCh. 3 - Prob. 44QAPCh. 3 - Prob. 45QAP
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- Io, a satellite of Jupiter, has an orbital period of 1.77 days and an orbital radius of 4.22 105 km. From these data, determine the mass of Jupiter.arrow_forwardIt 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_forwardA planet of mass m=3.05×10^24 kg orbits a star of mass M=3.85×1029 kg in a circular path. The radius of the orbit is R=7.65×10^7 km. What is the orbital period T planet of the planet in Earth days?arrow_forward
- An object of mass m is launched from a planet of mass M and radius R. Calculate this minimum launch speed (called the escape speed), in meters per second, for a planet of mass M = 2 × 1023 kg and R = 78 × 102 km.arrow_forwardA planet of mass 6 x 1024 kg is in orbit around a star of mass 2 x 1030 kg. If the distance between the planet and the star is 5 x 1011 m, what is the force exerted on this planet by the star?arrow_forwardTwo planets are orbiting a star. Planet A is three times as far away from the star as Planet B, but the gravitational force acting on each planet is the same. How many times more massive is Planet A than Planet B? Group of answer choices A Six times as massive B. Three times as massive C. Four times as massive D. Nine times as massive E. Twice as massive F. None of the abovearrow_forward
- Calculate the escape velocity from the surface of a world with mass 2.70 ✕ 1024 kg and radius 7.50 ✕ 103 km.arrow_forwardIo orbits Jupiter at an average distance of 4.22 105 km with an orbital period of 0.00485 yr. The Moon, which is one of the satellites of the Earth, orbits its parent at an average distance of 3.84 105 km with an orbital period of 0.07481 yr. (a) Use the above information to find the orbital speeds of Io around Jupiter and of the Moon around the Earth. vMoon = m/s vIo = m/s (b) What is the expression for the mass M of the parent in terms of the orbital speed v of the satellite, the orbital radius R of the satellite and the gravitational constant G? (Do not substitute numerical values; use variables only.)M = (c) Now use your answers from parts (a) and (b) to find the ratio of the mass of the Earth to that of Jupiter. ME MJarrow_forwardIf the legendary apple of Newton could be released from rest on the surface of a neutron star with a mass 1.6 times that of our sun (whose mass is 1.99 x 1030 kg) and a radius of 18 km, what would be the difference between the gravitational acceleration at the top and at the bottom of the apple? Take the apple to be a sphere with a radius of 3.5 cm.arrow_forward
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