The Solar System
10th Edition
ISBN: 9781337672252
Author: The Solar System
Publisher: Cengage
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Chapter 5, Problem 24RQ
Why can’t a spacecraft go “beyond Earth’s gravity”?
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A satellite orbits the earth at a height of 6350e8 kilometers from the center of the Earth, in a circular orbit. You want to place this satellite in an orbit 100 times greater, to achieve this efficiently, it is first moved to an auxiliary elliptical orbit. Find the velocity of the satellite in a circular orbit (point P).
Note: Earth radius: 6000 km, Earth's mass: 10e24 kg. Gravitation constant: 6e-11 Nm2Kg-2
6
Calculate the escape velocity to an orbit of 243 km height from a planet with the radius of 2000 km and the density of 3400 kg⋅m-³. Give your answer in
Sl units.
Answer:
m/s
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Chapter 5 Solutions
The Solar System
Ch. 5 - Prob. 1RQCh. 5 - Today, what do we call the Aristotelean violent...Ch. 5 - Which of Keplers or Newtons laws best describes...Ch. 5 - Prob. 4RQCh. 5 - Prob. 5RQCh. 5 - If you drop a feather and a steel hammer at the...Ch. 5 - What is the difference between mass and weight?
Ch. 5 - Prob. 8RQCh. 5 - An astronaut working in space near the...Ch. 5 - Prob. 10RQ
Ch. 5 - A car is on a circular off ramp of an interstate...Ch. 5 - Prob. 12RQCh. 5 - Prob. 13RQCh. 5 - An astronaut is in space with a baseball and a...Ch. 5 - Prob. 15RQCh. 5 - Prob. 16RQCh. 5 - Why did Newton conclude that some force had to...Ch. 5 - Why did Newton conclude that gravity has to be...Ch. 5 - Prob. 19RQCh. 5 - Prob. 20RQCh. 5 - Prob. 21RQCh. 5 - You are sitting next to a person who has twice as...Ch. 5 - Prob. 23RQCh. 5 - Why cant a spacecraft go beyond Earths gravity?Ch. 5 - Prob. 25RQCh. 5 - Balance a pencil lengthwise on the side of your...Ch. 5 - Prob. 27RQCh. 5 - Why can’t you leave Earth’s gravitational field...Ch. 5 - Prob. 29RQCh. 5 -
How do planets orbiting the Sun and skaters doing...Ch. 5 - Prob. 31RQCh. 5 - If you hold this textbook out at shoulder height...Ch. 5 - Today at the beach you see the highest of all high...Ch. 5 - Why is the period of an open orbit undefined?
Ch. 5 - In what conditions do Newtons laws of motion and...Ch. 5 - Prob. 36RQCh. 5 - Prob. 37RQCh. 5 - Prob. 38RQCh. 5 - How is gravity related to acceleration? Are all...Ch. 5 - Prob. 40RQCh. 5 - Prob. 41RQCh. 5 - Prob. 42RQCh. 5 - An astronomy textbook is to be dropped from a tall...Ch. 5 - Compared to the strength of Earth’s gravity at its...Ch. 5 - Compare the force of gravity on a 1 kg mass on the...Ch. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - If a small lead ball falls from a high tower on...Ch. 5 - What is the circular velocity of an Earth...Ch. 5 - What is the circular velocity of an Earth...Ch. 5 - Prob. 9PCh. 5 - Describe the shape of the orbit followed by the...Ch. 5 - Prob. 11PCh. 5 - What is the orbital period of a satellite orbiting...Ch. 5 - What would be the escape velocity at the surface...Ch. 5 - Prob. 14PCh. 5 - A moon of Jupiter takes 1.8 days to orbit at a...Ch. 5 - Prob. 1SPCh. 5 - Prob. 2SPCh. 5 - Prob. 1LLCh. 5 - Prob. 2LLCh. 5 - Why is it a little bit misleading to say that this...
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- 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_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_forwardNear a massive planet, is gravitational acceleration large or small? Is space strongly curved, or not? What about near a small marble?arrow_forward
- Following 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_forwardCheck Your Understanding If we send a probe out of the solar system starting form Earth’s surface, do we only have to escape the Sun?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_forward
- If there is gravity where the International Space Station (ISS) is located above Earth, why doesn’t the space station get pulled back down to Earth?arrow_forwardCompute directly the gravitational force on a unit mass at a point exterior to a homogeneous sphere of matter.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
- An asteroid has speed 15.5km/s when it is located 2.00 AU from the sun. At its closest approach, it is 0.400 AU from the Sun. What is its speed at that point?arrow_forwardWhat is the Schwarzschild radius for the black hole at the center of our galaxy if it has the mass of 4 million solar masses?arrow_forwardA planet has two moons of equal mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. What is the magnitude of the gravitational force exerted by the planet on Moon 2? (a) four times as large as that on Moon 1 (b) twice as large as that on Moon 1 (c) equal to that on Moon 1 (d) half as large as that on Moon 1 (e) one-fourth as large as that on Moon 1arrow_forward
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