Determine the ratio of Earth's gravitational force exerted on a (1.0-mathrm{kg}) object at the following positions to

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Determine the ratio of Earth's gravitational force exerted on a \(1.0-\mathrm{kg}\) object at the following positions to that at sea level: (i) the top of Mt. Everest, altitude \(8848 \mathrm{~m}\); (ii) a shuttle orbiting at \(200 \mathrm{~km}\); (iii) the orbit of the Moon. Is the \(1.0-\mathrm{kg}\) object weightless in any of these circumstances?

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