equator as the earth rotates. These are called geosynchronous orbits. The altitude of a geosynchronous orbit is 3.58 × 107 m (≈ 22,000 miles). Astronomical data are inside the back cover of the book a. What is the period of a satellite in a geosynchronous orbit? >. Find the value of g at this altitude. c. What is the weight of a 2000 kg satellite in a geosynchronous orbit?

equator as the earth rotates. These are called geosynchronous orbits. The altitude of a geosynchronous orbit is 3.58 × 107 m (≈ 22,000 miles). Astronomical data are inside the back cover of the book a. What is the period of a satellite in a geosynchronous orbit? >. Find the value of g at this altitude. c. What is the weight of a 2000 kg satellite in a geosynchronous orbit?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter6: Uniform Circular Motion And Gravitation

Section: Chapter Questions

Problem 49PE: Unreasonable Results (a) Based on Kepler's laws and information on the orbital characteristics of...

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Unreasonable Results (a) Based on Kepler's laws and information on the orbital characteristics of the Moon, calculate the orbital radius for an Earth satellite having a period of 1.00 h. (b) What is unreasonable about this result? (c) What is unreasonable or inconsistent about the premise of a 1.00 h orbit?
What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?
What is the average speed in mi/h of a person at the equator as a result of the Earths rotation? (Take the radius of the Earth to be RE = 4000 mi.)
The Moon's mass is 7.35 1022 kg, and it moves in a nearly circular orbit with radius 3.84 108 m. The period of its motion is 27.3 days. Use this, information to determine the Moon's (a) orbital speed and (b) its acceleration.
As their booster rockets separate, Space Shuttle astronauts typically feel accelerations up to 3g, where g = 9.80 m/s2. In their training, astronauts ride in a device where they experience such an acceleration as a centripetal acceleration. Specifically, the astronaut is fastened securely at the end of a mechanical arm, which then turns at constant speed in a horizontal circle. Determine the rotation rate, in revolutions per second, required to give an astronaut a centripetal acceleration of 3.00g while in circular motion with radius 9.45 m.
(a) What is the acceleration due to gravity on the surface of the Moon? (b) On the surface of Mars? The mass of Mars is 6.4181023 kg and its radius is 3.38106 m.
(a) What is the radius of a bobsled turn banked at 75.0° and taken at 30.0 m/s, assuming it is ideally banked? (b) Calculate the centripetal acceleration. (c) Does this acceleration seem large to you?
For many years, astronomer Percival Lowell searched for a Planet X that might explain some of the perturbations observed in the orbit of Uranus. These perturbations were later explained when the masses of the outer planets and planetoids, particularly Neptune, became better measured (Voyager 2). At the time, however, Lowell had proposed the existence of a Planet X that orbited the Sun with a mean distance of 43 AU. With what period would this Planet X orbit the Sun?
What is the gravitational acceleration close to the surface of a planet with a mass of 2ME and radius of 2RE where ME, and RE are the mass and radius of Earth, respectively? Answer as a multiple of g, the magnitude of the gravitational acceleration near Earths surface. (See Section 7.5.)
In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?
A space station, in the form of a wheel 120 m in diameter, rotates to provide an artificial gravity of 3.00 m/s2 for persons who walk around on the inner wall of the outer rim. Find the rate of the wheels rotation in revolutions per minute that will produce this effect.
Two satellites are in circular orbits around Jupiter. One, with orbital radius r, makes one revolution every 21.8 h. The other satellite has orbital radius 4.00r. How long does the second satellite take to make one revolution around Jupiter? h