A satellite is in a circular orbit around the Earth at an altitude of 1.72 x 106 m.(a) Find the period of the orbit. (Hint: Modify Kepler's third law so it is suitable for objects orbiting the Earth rather than the Sun. The radius of the Earth is 6.38 x 10° m, and the mass of the Earth is5.98 x 1024 kg.)7017Modify the equation in the textbook for the period of the Earth orbiting around the Sun so it can be applied to the period of a satellite in orbit around the Earth. h(b) Find the speed of the satellite.7.017km/s(c) Find the acceleration of the satellite.6.07V m/s toward the center of the earthNeed Help?Read ItMaster It

The time period of orbit is given as T=2πr3GM…

A satellite is in a circular orbit around the Earth at an altitude of 1.72 x 10° m. (a) Find the period of the orbit. (Hint: Modify Kepler's third law so it is suitable for objects orbiting the Earth rather than the Sun. The radius of the Earth is 6.38 x 10° m, and the mass of the Earth is 5.98 x 1024 kg.) 7017 |x Modify the equation in the textbook for the period of the Earth orbiting around the Sun so it can be applied to the period of a satellite in orbit around the Earth. h (b) Find the speed of the satellite. 7.017 km/s (c) Find the acceleration of the satellite. 6.07 V m/s? toward the center of the earth

A satellite is in a circular orbit around the Earth at an altitude of 1.72 x 10° m. (a) Find the period of the orbit. (Hint: Modify Kepler's third law so it is suitable for objects orbiting the Earth rather than the Sun. The radius of the Earth is 6.38 x 10° m, and the mass of the Earth is 5.98 x 1024 kg.) 7017 |x Modify the equation in the textbook for the period of the Earth orbiting around the Sun so it can be applied to the period of a satellite in orbit around the Earth. h (b) Find the speed of the satellite. 7.017 km/s (c) Find the acceleration of the satellite. 6.07 V m/s? toward the center of the earth

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 27P: The astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite....

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The Sun has a mass of approximately 1.99 1030 kg. a. Given that the Earth is on average about 1.50 1011 m from the Sun, what is the magnitude of the Suns gravitational field at this distance? b. Sketch the magnitude of the gravitational field due to the Sun as a function of distance from the Sun. Indicate the Earths position on your graph. Assume the radius of the Sun is 7.00 108 m and begin the graph there. c. Given that the mass of the Earth is 5.97 1024 kg, what is the magnitude of the gravitational force on the Earth due to the Sun?
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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.
Model 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.)
The astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 600 km above the Earth’s surface, where the free-fall acceleration is 8.21 m/s2. Take the radius of the Earth as 6 400 km. Determine the speed of the satellite and the time interval required to complete one orbit around the Earth, which is the period of the satellite. Figure P3.27