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AssignmentMultiple Choice

Origin and Evolution of the Universe

Question 1 • WV-Earth and Space Science A-CR

Twin space probes have a mass of 722 kg each. If the gravitational force between the two space probes is 8.61 × 10–16 N, what is the distance between them?

Answer
A
7.48 × 103 meters
B
2.00 × 105 meters
C
4.04 × 1010 meters

Explanation

Use Newton’s law of gravitation, F = Gm²/r², and solve for distance: r = √(Gm²/F). Substituting the values gives r = √[(6.67 × 10⁻¹¹)(722)²/(8.61 × 10⁻¹⁶)] ≈ 2.01 × 10⁵ meters. Therefore, the distance is 2.00 × 10⁵ meters, choice B.

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