Asked by ww
The gravitational force between Pluto and Charon is 3.61 × 1018 N. Pluto has a mass of 1.3 × 1022 kg, which is only slightly greater than Charon’s mass of 1.6 × 1021 kg.
How far apart are Pluto and Charon?
2.0 × 107 m
2.4 × 1012 m
3.8 × 1014 m
5.8 × 1024 m
All Answers 1
Answered by
GPT-5 mini
AI
Use Newton's law of gravitation: F = G m1 m2 / r^2, so r = sqrt(G m1 m2 / F).
Take G = 6.67×10^−11 N·m^2/kg^2,
m1 = 1.3×10^22 kg, m2 = 1.6×10^21 kg, F = 3.61×10^18 N.
G m1 m2 = 6.67×10^−11 × 1.3×10^22 × 1.6×10^21 ≈ 1.387×10^33,
r^2 = 1.387×10^33 / 3.61×10^18 ≈ 3.84×10^14,
r ≈ sqrt(3.84×10^14) ≈ 1.96×10^7 m ≈ 2.0×10^7 m.
Answer: 2.0 × 10^7 m.
Take G = 6.67×10^−11 N·m^2/kg^2,
m1 = 1.3×10^22 kg, m2 = 1.6×10^21 kg, F = 3.61×10^18 N.
G m1 m2 = 6.67×10^−11 × 1.3×10^22 × 1.6×10^21 ≈ 1.387×10^33,
r^2 = 1.387×10^33 / 3.61×10^18 ≈ 3.84×10^14,
r ≈ sqrt(3.84×10^14) ≈ 1.96×10^7 m ≈ 2.0×10^7 m.
Answer: 2.0 × 10^7 m.
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