A satellite is launched to orbit the Earth at an altitude of 1.05 x 107 m for use in the Global Positioning System (GPS). Take the mass of the Earth to be 5.97 x 1024 kg and its radius 6.38 x 106 m. (a) What is the orbital period, in hours, of this GPS satellite? h (b) With what speed, in m/s, does it orbit the Earth? m/s

A satellite is launched to orbit the Earth at an altitude of 1.05 x 107 m for use in the Global Positioning System (GPS). Take the mass of the Earth to be 5.97 x 1024 kg and its radius 6.38 x 106 m. (a) What is the orbital period, in hours, of this GPS satellite? h (b) With what speed, in m/s, does it orbit the Earth? m/s

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 46PQ: In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A...

See similar textbooks

Similar questions

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.)
Two planets in circular orbits around a star have speed of v and 2v . (a) What is the ratio of the orbital radii of the planets? (b) What is the ratio of their periods?
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?
What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?
A woman whose mass is 70 kg on Earth's surface is in a spacecraft at a height of twice Earth's radius (that is, 3 Earth radii) above Earth's surface. What is her mass (not weight) there? BIU S S.
A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.8 × 107 m. The mass of the planet is M = 4.8 × 1024 kg. a)Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite. b)Express the magnitude of the centripetal acceleration ac of the satellite in terms of the speed of the satellite v, and R. c) Express the speed v in terms of G, M and R.
The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a circular orbit. If the orbital radius of Rom is 2.5×1011 m … Note: G = 6.67⨯10-11 N·m2/kg2 iii) What is the period of Rom’s orbit in Earth years? (One Earth year is 365.25 Earth days.)
A satellite is launched to orbit the Earth at an altitude of 1.80 x 107 m for use in the Global Positioning System (GPS). Take the mass of the Earth to be 5.97 x 1024 kg and its radius 6.38 x 106 m. (a) What is the orbital period of this GPS satellite? h (b) With what speed does it orbit the Earth? m/s
A satellite is launched to orbit the Earth at an altitude of 1.65 x 107 m for use in the Global Positioning System (GPS). Take the mass of the Earth to be 5.97 x 1024 kg and its radius 6.38 x 106 m. (a) What is the orbital period, in hours, of this GPS satellite? 2.68 (b) With what speed, in m/s, does it orbit the Earth? 15040 x m/s
(a) Find the magnitude of the gravitational force (in N) between a planet with mass 6.00 x 104 kg and its moon, with mass 2.85 x 1022 kg, if the average distance between their centers is 2.60 x 10 m. 1.69 XN (b) What is the moon's acceleration (in m/s) toward the planet? (Enter the magnitude.) 5.93 x m/s² (c) What is the planet's acceleration (in m/s²2) toward the moon? (Enter the magnitude.) x m/s² 2.82
The astroid belt of our solar system is located between the orbits of Mars and Jupiter. An astronomer is studying an interesting asteroid and has determined that one orbit around the Sun takes it 2.83 years. How far is the asteroid from the Sun? The following constants may be helpful. Earth's distance from the Sun = 1 AU = 1.5 x 1011 m MSun = 2.0 x 1030 kg G = 6.67 x 10-11 N m2 / kg2 1 year = 3.15 x 105 s A)1.5 AU (2.25 x 1011 m) B) 2.0 AU (3.00 x 1011 m) C) 2.5 AU (3.75 x 1011 m) D) 3.2 AU (4.80 x 1011 m) E) 4.8 AU (7.20 x 1011 m)
The Moon has a mass 7.35 x 1022 kg of and a radius of 1740 km. Air resistance can be neglected on the Moon. G = 6.67 x 10-11 m3 kg-1 s-2 is the universal gravitational constant. (a) If a ball is launched upwards from the surface of the moon with an initial speed of 1.15 km/s, what height maximum height above the surface of the moon will it reach? Give your answer in kilometers. (b) What is the escape speed of the moon? Give your answer in km/s.