Explanation 1) Concept: As we are given the distance between the farthest point and the closest point, we can find the distance between the satellite and the earth’s center. If we take the average of both distances, we can find the semi-major axis. From the formula of apogee and perigee distance, we can find the eccentricity of the orbit. 2) Formula: i) a p o g e e = R a = a 1 + e ii) p e r i g e e = R P = a 1 - e 3) Given: i) Farthest point distance (earth's surface and satellite) = 360 k m ii) Closest point distance (earth's surface and satellite) = 180 k m iii) Radius of earth = 6.37 × 10 6 m 4) Calculation: Farthest point distance (earth’s surface and satellite) = 360 k m Farthest point distance (earth's center and satellite) = 360 k m + R a d i u s o f e a r t h Farthest point distance (earth's center and satellite) = 360 × 10 3 m + 6.37 × 10 6 m Farthest point distance (earth's center and satellite) = R a = 6.73 × 10 6 m Closest point distance (earth's surface and satellite) = 180 k m Closest point distance (earth's center and satellite) = 180 k m + R a d i u s o f e a r t h Closest point distance (earth's center and satellite) = 180 × 10 3 + 6.37 × 10 6 m Closest point distance (earth's center and satellite) = R P = 6.55 × 10 6 m a) From diagram, we can say that, S e m i m a j o r a x i s = a = R a + R p 2 S e m i m a j o r a x i s = 6.73 × 10 6 + 6.55 × 10 6 2 S e m i m a j o r a x i s = a = 6

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force betwe…

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Chapter 13, Problem 51P

To determine

To Find:

a) Semi-major axis of the satellite

b) Eccentricity of the orbit of the satellite

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Chapter 13, Problem 50P

Chapter 13, Problem 52P

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Chapter 13 Solutions

FUNDAMENTALS OF PHYSICS

Ch. 13 - Rank the four systems of equal- mass particles...Ch. 13 - ILW A mass M is split into two parts, m and M m,...Ch. 13 - Moon effect. Some people believe that the Moon...Ch. 13 - Prob. 3P Ch. 13 - The Sun and Earth each exert a gravitational force...Ch. 13 - Miniature black holes. Left over from the big-bang...Ch. 13 - GO In Fig. 13-32, a square of edge length 20.0 cm...Ch. 13 - SSM WWW We want to position a space probe along a...Ch. 13 - GO Three dimensions. Three point particles are...Ch. 13 - a What will an object weigh on the Moons surface...

Ch. 13 - Mountain pull. A large mountain can slightly...Ch. 13 - SSM At what altitude above Earths surface would...Ch. 13 - Mile-high building. In 1956, Frank Lloyd Wright...Ch. 13 - ILW Certain neutron stars extremely dense stars...Ch. 13 - Two concentric spherical shells with uniformly...Ch. 13 - A solid sphere has a uniformly distributed mass of...Ch. 13 - Prob. 26P Ch. 13 - In Problem 1, what ratio m/M gives the least...Ch. 13 - SSM The mean diameters of Mars and Earth are 6.9 ...Ch. 13 - a What is the gravitational potential energy of...Ch. 13 - Prob. 33P Ch. 13 - Zero, a hypothetical planet, has a mass of 5.0 ...Ch. 13 - In deep space, sphere A of mass 20 kg is located...Ch. 13 - Prob. 39P Ch. 13 - A projectile is shot directly away from Earths...Ch. 13 - SSM Two neutron stars arc separated by a distance...Ch. 13 - a What linear speed must an Earth satellite have...Ch. 13 - Prob. 44P Ch. 13 - The Martian satellite Photos travels in an...Ch. 13 - The first known collision between space debris and...Ch. 13 - Prob. 47P Ch. 13 - The mean distance of Mars from the Sun is 1.52...Ch. 13 - Prob. 49P Ch. 13 - Prob. 50P Ch. 13 - Prob. 51P Ch. 13 - The Suns center is at one focus of Earths orbit....Ch. 13 - A 20 kg satellite has a circular orbit with a...Ch. 13 - In 1610, Galileo used his telescope to discover...Ch. 13 - In 1993 the spacecraft Galileo sent an image Fig....Ch. 13 - Prob. 57P Ch. 13 - Three identical stars of mass M form an...Ch. 13 - Prob. 61P Ch. 13 - Prob. 62P Ch. 13 - SSM WWW An asteroid, whose mass is 2.0 10-4 times...Ch. 13 - A satellite orbits a planet of unknown mass in a...Ch. 13 - A Satellite is in a circular Earth orbit of radius...Ch. 13 - One way to attack a satellite in Earth orbit is to...Ch. 13 - Prob. 67P Ch. 13 - Prob. 70P Ch. 13 - Prob. 72P Ch. 13 - The mysterious visitor that appears in the...Ch. 13 - ILW The masses and coordinates of three spheres...Ch. 13 - SSM A very early, simple satellite consisted of an...Ch. 13 - GO Four uniform spheres, with masses mA = 40 kg,...Ch. 13 - a In Problem 77, remove sphere A and calculate the...Ch. 13 - Prob. 80P Ch. 13 - Prob. 81P Ch. 13 - Prob. 82P Ch. 13 - Prob. 83P Ch. 13 - Prob. 84P Ch. 13 - Prob. 85P Ch. 13 - Prob. 86P Ch. 13 - Prob. 87P Ch. 13 - Prob. 88P Ch. 13 - Prob. 89P Ch. 13 - Prob. 90P Ch. 13 - Prob. 91P Ch. 13 - Prob. 92P Ch. 13 - Prob. 93P Ch. 13 - Prob. 94P Ch. 13 - Prob. 95P Ch. 13 - Prob. 96P

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