Question

1. a satellite is orbiting earth at a speed of approximately 4,000 m/s. which of these distances is most likely the orbital radius of the satellites motion? mass of earth = 5.972×10^24 kg (1 point) 99.0 million meters 25.0 million meters 11.0 million meters 44.0 million meters

Explanation:

Step1: Use the formula for orbital speed

The formula for the orbital speed \(v=\sqrt{\frac{GM}{r}}\), where \(G = 6.67\times10^{- 11}\space Nm^{2}/kg^{2}\), \(M\) is the mass of the Earth, and \(r\) is the orbital radius.
We can re - arrange the formula for \(r\): \(r=\frac{GM}{v^{2}}\)

Step2: Substitute the given values

Substitute \(G = 6.67\times10^{-11}\space Nm^{2}/kg^{2}\), \(M = 5.972\times 10^{24}\space kg\), and \(v = 4000\space m/s\) into the formula.

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Answer:

25.0 million meters