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Question
part a
earths gravitational field is strongest at
view available hint(s)
hint 1.
how is gravitational field defined?
either the earths center or at its surface
earths center
infinity, in principle
earths surface
The gravitational field strength \(g\) is given by \(g=\frac{GM}{r^{2}}\), where \(G\) is the gravitational - constant, \(M\) is the mass of the Earth, and \(r\) is the distance from the center of the Earth. At the Earth's center, the net gravitational force from all parts of the Earth on a test mass is zero due to symmetry. As we move from the center to the surface, the gravitational field strength increases. At infinity, the gravitational field strength \(g\) approaches zero according to the inverse - square law. At the Earth's surface, the gravitational field strength is the strongest among the given options.
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D. Earth's surface