10.16 The gravitational force of Earth acting on a point mass m2 is given by r F = -GMm231 (10.86) where G = 6.67 × 10-11 [N · m²/kg²], M = 5.972 × 1024 [kg] is the mass of Earth, r is the position vector for mass m2 with its origin at the center of Earth, and r = |r| is the Euclidean length of r. Calculate the flux of F through a spherical surface of radius equal to 10,000 [km] with its center at the Earth center. The flow direction is assumed to be outward from the Earth center to the outerspace.

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10.16 The gravitational force of Earth acting on a point mass m2 is given by
r
F = -GMm231
(10.86)
where G = 6.67 × 10-11 [N · m²/kg²], M = 5.972 × 1024 [kg] is the mass of
Earth, r is the position vector for mass m2 with its origin at the center of
Earth, and r = |r| is the Euclidean length of r. Calculate the flux of F through
a spherical surface of radius equal to 10,000 [km] with its center at the Earth
center. The flow direction is assumed to be outward from the Earth center to
the outerspace.
Transcribed Image Text:10.16 The gravitational force of Earth acting on a point mass m2 is given by r F = -GMm231 (10.86) where G = 6.67 × 10-11 [N · m²/kg²], M = 5.972 × 1024 [kg] is the mass of Earth, r is the position vector for mass m2 with its origin at the center of Earth, and r = |r| is the Euclidean length of r. Calculate the flux of F through a spherical surface of radius equal to 10,000 [km] with its center at the Earth center. The flow direction is assumed to be outward from the Earth center to the outerspace.
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