5. Geostationary satellites appear to remain stationary to an observer on Earth. Such satellites are placed in orbit far above the equator. Using principles of physics, explain why such satellites all have the same orbital radius. (3C)
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Many satellites are moving in a circle in the earth's equatorial plane. They are at such a height above the earth's surface that they always remain above the same point. (a) Find the altitude of these satellites above the earth's surface. (Such an orbit is said to be $geosynchronous.$) (b) Explain, with a sketch, why the radio signals from these satellites cannot directly reach receivers on earth that are north of 81.3$^\circ$ N latitude.
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