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Question: Scientists want to place a 2700.0 kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 2.4 times the radius of Mars above the surface of the planet. Here is some information that will help solve this problem:

mmars = 6.4191 x 1023 kg

rmars = 3.397 x 106 m

G = 6.67428 x 10-11 N-m2/kg2

1- What is the force of attraction between Mars and the satellite?

2- What speed should the satellite have to be in a perfectly circular orbit?

3- How much time does it take the satellite to complete one revolution?

4- What should the radius of the orbit be (measured from the center of Mars), if we want the satellite to take 8 times longer to complete one full revolution of its orbit?

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