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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

An artificial satellite circling the Earth completes each orbit in 110 minutes, (a) Find the altitude of the satellite, (b) What is the value of g at the location of this satellite?

(a)

To determine

The altitude of the satellite.

Explanation

Given Info:

The time taken by artificial satellite for each orbit around the earth is 110min.

According to Kepler’s third law,

T2=(4π2GM)r3

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=(T2GM4π2)13

Substitute 110min for T, 6.67×1011Nm2kg2 for G and 5.98×1024kg for M to find the radius of the orbit,

r=((110min(60.0s1.0min))2(6.67×1011Nm2kg2)(5

(b)

To determine

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

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