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A 30 kg satellite has a circular orbit w...

A 30 kg satellite has a circular orbit with a period of 2.0 h and a radius of `9.0 xx 10^6` m around a planet of unknown mass. If the magnitude of the gravitational acceleration on the surface of the planet is `6.0 m//s_2`. what is the radius of the planet?

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To find the radius of the planet given the parameters of the satellite, we can follow these steps: ### Step 1: Identify the given values - Mass of the satellite (m) = 30 kg (not needed for calculations) - Period of the satellite (T) = 2.0 hours = 2 × 60 × 60 seconds = 7200 seconds - Radius of the satellite's orbit (r) = \(9.0 \times 10^6\) m - Gravitational acceleration on the surface of the planet (g) = 6.0 m/s² ...
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