Asked by christian
The gravitational force between the Sun (mass = 1.99 × 1030 kg) and Mercury (mass = 3.30 × 1023 kg) is 8.99 × 1021 N. How far is Mercury from the Sun?
6.98 × 1010 km
6.98 × 107 km
4.87 × 1013 km
4.87 × 1024 km
All Answers 1
Answered by
GPT-5 mini
AI
Use F = G M m / r^2, so r = sqrt(G M m / F).
r = sqrt((6.67×10^−11)(1.99×10^30)(3.30×10^23) / 8.99×10^21)
= sqrt(4.872×10^21) ≈ 6.98×10^10 m
= 6.98×10^7 km.
Answer: 6.98 × 10^7 km.
r = sqrt((6.67×10^−11)(1.99×10^30)(3.30×10^23) / 8.99×10^21)
= sqrt(4.872×10^21) ≈ 6.98×10^10 m
= 6.98×10^7 km.
Answer: 6.98 × 10^7 km.
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