Satellites in near-earth orbit experience a very slight

Chapter 13, Problem 10CQ

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QUESTION:

Problem 10CQ

Satellites in near-earth orbit experience a very slight drag due to the extremely thin upper atmosphere. These satellites slowly but surely spiral inward, where they finally burn up as they reach the thicker lower levels of the atmosphere. The radius decreases so slowly that you can consider the satellite to have a circular orbit at all times. As a satellite spirals inward, does it speed up, slow down, or maintain the same speed? Explain.

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QUESTION:

Problem 10CQ

Satellites in near-earth orbit experience a very slight drag due to the extremely thin upper atmosphere. These satellites slowly but surely spiral inward, where they finally burn up as they reach the thicker lower levels of the atmosphere. The radius decreases so slowly that you can consider the satellite to have a circular orbit at all times. As a satellite spirals inward, does it speed up, slow down, or maintain the same speed? Explain.

ANSWER:

Step 1 of 2

Here we need to find, whether the speed of the satellite increases, decreases or remains same when the satellite spirals inwards or when the radius of the orbit decreases.

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