7. The Earth's equatorial bulge leads to a gravitational acceleration of 9.832 m/s² at the North Pole as compared to 9.807 m/s², the value at "sea level" (not at the equator, but at 45° latitude; look at the grossly exaggerated diagram below to see why). If the bulge were the only effect contributing to this increased gravitational acceleration (it's not), what would be the effective decrease in elevation below sea level? (I.e., find the value of d in the diagram.) (me = 5.98×10²4 kg, TE = 6380 km, G = 6.67×10¹¹ N·m²/kg²) "Sea Level"

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter7: Gravity
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7. The Earth's equatorial bulge leads to a gravitational acceleration of 9.832 m/s² at the North Pole as
compared to 9.807 m/s², the value at “sea level" (not at the equator, but at 45° latitude; look at the grossly
exaggerated diagram below to see why). If the bulge were the only effect contributing to this increased
gravitational acceleration (it's not), what would be the effective decrease in elevation below sea level? (I.e.,
find the value of d in the diagram.) (mp = 5.98×10²4 kg, TE = 6380 km, G 6.67×10¹¹ N-m²/kg²)
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"Sea Level"
Transcribed Image Text:7. The Earth's equatorial bulge leads to a gravitational acceleration of 9.832 m/s² at the North Pole as compared to 9.807 m/s², the value at “sea level" (not at the equator, but at 45° latitude; look at the grossly exaggerated diagram below to see why). If the bulge were the only effect contributing to this increased gravitational acceleration (it's not), what would be the effective decrease in elevation below sea level? (I.e., find the value of d in the diagram.) (mp = 5.98×10²4 kg, TE = 6380 km, G 6.67×10¹¹ N-m²/kg²) ad "Sea Level"
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