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In most calculations, we use W z mg. But we know that, for large changes in altitude, we need to use W x 1/r2. How far above the Earth's surface can we use W = mg before our systematic error reaches 1%? Use only the information given in this question, and the radius of the Earth re = 6400 km. Do not explicitly use G or the mass of the Earth, and do the calculation for the pole so that we don't worry about the effect of centripetal acceleration. Hint: Does g become larger or smaller with altitude? Altitude =. km (to one significant figure)
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Transcribed Image Text:In most calculations, we use W z mg. But we know that, for large changes in altitude, we need to use W x 1/r2. How far above the Earth's surface can we use W = mg before our systematic error reaches 1%? Use only the information given in this question, and the radius of the Earth re = 6400 km. Do not explicitly use G or the mass of the Earth, and do the calculation for the pole so that we don't worry about the effect of centripetal acceleration. Hint: Does g become larger or smaller with altitude? Altitude =. km (to one significant figure)
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