Answer :
The gravitational force between the football player and the Earth at the given distance is 979.91 N.
The given parameters:
- Mass of the player, m = 100 kg
- Mass of the Earth, M = 5.98 x 10²⁴ kg
- Distance between the bodies, r = 6.38 x 10⁶ m
The gravitational force between the football player and the Earth at the given distance is calculated by applying Newton's law of universal gravitation as follows.
[tex]F = \frac{GmM}{r^2} \\\\F = \frac{6.67 \times 10^{-11} \times 100 \times 5.98 \times 10^{24}}{(6.38 \times ^6)^2} \\\\F = 979.91 \ N[/tex]
Thus, the gravitational force between the football player and the Earth at the given distance is 979.91 N.
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