You are designing a spacecraft intended to monitor a human expedition to Mars (mass 6.42 * 10^23 kg, radius 3.39 * 10^6 m). This spacecraft will orbit around the Martian equator with an orbital period of 24.66 h, the same as the rotation period of Mars, so that it will always be above the same point on the equator. (a) What must be the radius of the orbit? (b) What will be the speed of the spacecraft in its orbit?

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You are designing a spacecraft intended to monitor a human
expedition to Mars (mass 6.42 * 10^23 kg, radius 3.39 * 10^6 m). This spacecraft will orbit around the Martian equator with an orbital period
of 24.66 h, the same as the rotation period of Mars, so that it will always
be above the same point on the equator. (a) What must be the radius of
the orbit? (b) What will be the speed of the spacecraft in its orbit?

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