(a) Explanation Formula to calculate the height of the satellite above the earth’s surface is, h = r − R (I) h is the height of the satellite above the earth’s surface. r is the height of the satellite from the centre of the earth. R is the radius of the earth. Since the orbital period of the satellite and earth is same, therefore T E = T S (II) T E is the orbital period of the earth. T S is the orbital period of the satellite. Formula to calculate the orbital period of the satellite is, T s = 2 π r 3 / 2 G m E G is the gravitational constant. m E is the mass of the earth. Substitute 24 h for T E and 2 π r 3 / 2 G m E for T S in the equation (II) to find r . ( 24 h × 3600 s 1 h ) = 2 π r 3 / 2 G m E r = ( ( 8.64 × 10 4 s ) G m E 2 π ) 3 / 2 Substitute 5.97 × 10 24 kg for m E and 6 (b) To determine The reason being the radio signal of satellites cannot directly reach to the receivers on earth that are north of 81.3 ° N altitude.

University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)

14th Edition

ISBN: 9780134265414

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Chapter 13, Problem 13.49P

(a)

To determine

The altitude of the satellite above the earth’s surface.

(b)

To determine

The reason being the radio signal of satellites cannot directly reach to the receivers on earth that are north of 81.3° N altitude.

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Chapter 13, Problem 13.48P

Chapter 13, Problem 13.50P

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University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)

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The altitude of the satellite above the earth’s surface.

Solution Summary: The author explains the formula to calculate the altitude of the satellite above the earth’s surface.

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The altitude of the satellite above the earth’s surface.

The reason being the radio signal of satellites cannot directly reach to the receivers on earth that are north of 81.3° N altitude.

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Chapter 13 Solutions