Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 9, Problem 40SP
(a)
To determine
The orbital radius of the satellite thatis rotating in a circular orbit at an altitude of
(b)
To determine
The speed of the satellite thatis rotating in a circular orbit at an altitude of
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The ratio of the radius of the earth to that
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A satellite travels with constant speed v in a circular orbit 320 km above the earth’s surface. Calculate v knowing that the acceleration of the satellite is the gravitational acceleration at its altitude. (Note: Review Art. 1/5 as necessary and use the mean value of g and the mean value of the earth’s radius. Also recognize that v is the magnitude of the velocity of the satellite with respect to the center of the earth.)
On July 15, 2004, NASA launched the Aura spacecraft to study the earth’s climate and atmosphere. This satellite was injected into an orbit 705 km above the earth’s surface. Assume a circular orbit. (a) How many hours does it take this satellite to make one orbit? (b) How fast (in ) is the Aura spacecraft moving?
Chapter 9 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 9 - 17. A wheel spins around exactly 6 times. How many...Ch. 9 - 18. Given that a disk revolves through 81.681...Ch. 9 - 19. Convert (a) 50.0 rev to radians, (b) 48π rad...Ch. 9 - 20. Express 40.0 deg/s in (a) rev/s, (b) rev/min,...Ch. 9 - 21. A 2.00-m-long steel rod, pivoted at one end,...Ch. 9 - 22. A pendulum swings through an angle of 20.0°,...Ch. 9 - 23. A pebble is stuck in the tread of a tire...Ch. 9 - 24. A sphere rotates about a fixed axis 10.0 times...Ch. 9 - 25. A flywheel turns at 480 rpm. Compute the...Ch. 9 - 26. It is desired that the outer edge of a...
Ch. 9 - 27. Through how many radians does a point fixed on...Ch. 9 - 28. A wheel 25.0 cm in radius turning at 120 rpm...Ch. 9 - 29. The angular speed of a disk decreases...Ch. 9 - 30. A car wheel 30 cm in radius is turning at a...Ch. 9 - 31. A wheel revolving at 6.00 rev/s has an angular...Ch. 9 - 32. A thin string wound on the rim of a wheel 20...Ch. 9 - 9.33 [II] A mass of 1.5 kg out in space moves in a...Ch. 9 - 34. (a) Compute the radial acceleration of a point...Ch. 9 - 35. A mass is whirling in a circle at the end of a...Ch. 9 - 36. A mass is whirling in a circle at the end of a...Ch. 9 - 37. Imagine a weightless 2.00-kg mass far out in...Ch. 9 - 38. The old Bohr model of the hydrogen atom has a...Ch. 9 - 39. With the previous problem in mind, what is the...Ch. 9 - Prob. 40SPCh. 9 - 41. A car moving at 5.0 m/s tries to round a...Ch. 9 - 42. A box rests at a point 2.0 m from the central...Ch. 9 - 43. A stone rests in a pail which is tied to a...Ch. 9 - Prob. 44SPCh. 9 - 45. Refer back to Fig. 9-6. How large must h be...Ch. 9 - 46. If, in Fig. 9-6 and in Problem 9.33, h = 2.5R,...Ch. 9 - 47. A satellite orbits the Earth at a height of...Ch. 9 - 49. The human body can safely tolerate a vertical...Ch. 9 - 50. A 60.0-kg pilot in a glider traveling at 40.0...Ch. 9 - 51. Suppose the Earth is a perfect sphere with R =...Ch. 9 - 9.52 [III] A mass m hangs at the end of a pendulum...
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- What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?arrow_forwardThe “mean” orbital radius listed for astronomical objects orbiting the Sun is typically not an integrated average but is calculated such that it gives the correct period when applied to the equation for circular orbits. Given that, what is the mean orbital radius in terms of aphelion and perihelion?arrow_forwardSuppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forward
- Calculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?arrow_forwardOn a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?arrow_forwardThe 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.arrow_forward
- An artificial satellite is traveling 8.0 x 10 m/s in a circular orbit. Assuming g= 9.7 m/s at that altitude, what is the orbital radius of the satellite?arrow_forwardA 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.arrow_forwardThe radius of the moon is roughly 1737.4 km and the acceleration of gravity at the surface of the moon is about0.165g, where g is the acceleration of gravity at the surface of the earth. Determine the velocity of escape for the moon.arrow_forward
- On July 15, 2004 NASA launched the Aura spacecraft to study the earth’s climate and atmosphere. This satellite was injected into an orbit 705 km above the earth’s surface. Assume a circular orbit. (a) How many hours does it take this satellite to make one orbit? (b) How fast (in km/s) is the Aura spacecraft moving?arrow_forwardThe equatorial radius of the Earth is 6378 km and gravity at the equator is 9.780 m s-2. Compute the ratio m of the centrifugal acceleration at the equator to the gravitational acceleration at the equator. If the ratio m is written as 1/k, what is the value of k?arrow_forwardA 200 kg satellite is placed into orbit around the Earth with a radius of 4.23 x 107 m. The mass of the Earth is about 6 x 1024 kg. (a) Find the gravitational force on the satellite.(b) Use the equation of centripetal force to find the speed of the satellite.arrow_forward
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