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Many people mistakenly believe that the astronauts that

Chapter 29, Problem 43TAS

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QUESTION:

Many people mistakenly believe that astronauts who orbit Earth are “above gravity.” Calculate g for space shuttle territory, 200 km above Earth’s surface. Earth’s mass is \(6.0 \times 10^{24}\) kg, and its radius is \(6.38 \times 10^6\) m (6380 km). Your answer is what percentage of \(9.8~\mathrm{m/s^2}\)?

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QUESTION:

Many people mistakenly believe that astronauts who orbit Earth are “above gravity.” Calculate g for space shuttle territory, 200 km above Earth’s surface. Earth’s mass is \(6.0 \times 10^{24}\) kg, and its radius is \(6.38 \times 10^6\) m (6380 km). Your answer is what percentage of \(9.8~\mathrm{m/s^2}\)?

ANSWER:

Step 1 of 4

From Newton’s law of universal gravitation the gravitational force,

....................(1)

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