Loose Leaf For Explorations: Introduction To Astronomy
9th Edition
ISBN: 9781260432145
Author: Thomas T Arny, Stephen E Schneider Professor
Publisher: McGraw-Hill Education
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Chapter 3, Problem 4TY
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An object of mass m is launched from a planet of mass M and radius R.
a)Derive and enter an expression for the minimum launch speed needed for the object to escape gravity, i.e. to be able to just reach r = ∞.
b)Calculate this minimum launch speed (called the escape speed), in meters per second, for a planet of mass M = 6 × 1023 kg and R = 76 × 104 km.
Chapter 3 Solutions
Loose Leaf For Explorations: Introduction To Astronomy
Ch. 3 - What is meant by inertia?Ch. 3 - (3.1) What does Newtons first law of motion tell...Ch. 3 - Explain how inertia and gravity are both involved...Ch. 3 - How does mass differ from weight?Ch. 3 - If your mass is 70 kg on Earth, what is it on the...Ch. 3 - What is Newtons law of gravity?Ch. 3 - Prob. 7QFRCh. 3 - (3.7) If you weigh 110 pounds on Earth, do you...Ch. 3 - Prob. 9QFRCh. 3 - Prob. 10QFR
Ch. 3 - Prob. 1TQCh. 3 - Prob. 2TQCh. 3 - (3.2) Is there a force of gravity between the...Ch. 3 - (3.3) Use Newtons second law of motion to explain...Ch. 3 - (3.4) How many times greater is Earths...Ch. 3 - Prob. 6TQCh. 3 - Prob. 7TQCh. 3 - Prob. 8TQCh. 3 - Prob. 9TQCh. 3 - Prob. 10TQCh. 3 - Prob. 11TQCh. 3 - (3.3) If you apply a force F to a mass m, it...Ch. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - (3.6) Gliese 581e is an exoplanet with a mass of...Ch. 3 - (3.7) Using the method of section 3.7, compare the...Ch. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 1TYCh. 3 - Prob. 2TYCh. 3 - Prob. 3TYCh. 3 - Prob. 4TYCh. 3 - Prob. 5TYCh. 3 - Prob. 6TYCh. 3 - Prob. 7TYCh. 3 - Prob. 8TYCh. 3 - Prob. 9TY
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- If a planet with 1.5 times the mass of Earth was traveling in Earth’s orbit, what would its period be?arrow_forwardAn object of mass m is located on the surface of a spherical planet of mass M and radius R. The escape speed from the planet does not depend on which of the following? (a) M (b) m (c) the density of the planet (d) R (e) the acceleration due to gravity on that planetarrow_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_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_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
- How far from the center of the Sun would the net gravitational force of Earth and the Sun on a spaceship be zero?arrow_forwardFollowing the technique used in Gravitation Near Earth’s Surface, find the value of g as a function of the radius r from the center of a spherical shell planet of constant density with inner and outer radii Rin and Rout . Find g for both eq and for RinrRout . Assuming the inside of the shell is kept airless, describe travel inside the spherical shell planet.arrow_forwardRespond to each statement, true or false: (a) No force of gravity acts on an astronaut in an orbiting space station. (b) At three Earth radii from the center of Earth, the acceleration of gravity is one-ninth its surface value. (c) If two identical planets, each with surface gravity g and volume V, coalesce into one planet with volume 2V, the surface gravity of the new planet is 2g. (d) One kilogram of gold would have greater value on Earth than on the Moon.arrow_forward
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