(a) Explanation Given Info : The time taken by artificial satellite for each orbit around the earth is 110 min . According to Kepler’s third law, T 2 = ( 4 π 2 G M ) r 3 Here, G is the gravitational constant, M is the mass of Earth, r is the radius and T is the time period. On re-arranging, Re-arrange to calculate the radius of the artificial satellite is, r = ( T 2 G M 4 π 2 ) 1 3 Substitute 110 min for T , 6.67 × 10 − 11 N ⋅ m 2 kg 2 for G and 5.98 × 10 24 kg for M to find the radius of the orbit, r = ( ( 110 min ( 60.0 s 1.0 min ) ) 2 ( 6.67 × 10 − 11 N ⋅ m 2 kg 2 ) ( 5 (b) To determine The value of acceleration due to gravity at the location of satellite.

11th Edition

ISBN: 9781305952300

Author: Raymond A. Serway, Chris Vuille

Publisher: Cengage Learning

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Question

Chapter 7, Problem 42P

(a)

To determine

The altitude of the satellite.

(b)

To determine

The value of acceleration due to gravity at the location of satellite.

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The altitude of the satellite.

Solution Summary: The author explains that the altitude of the artificial satellite is 1.23times 106m.

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The altitude of the satellite.

The value of acceleration due to gravity at the location of satellite.

Chapter 7 Solutions