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Marysya12
2 months ago
15

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 gre

ater than Charon’s mass of 1.6 × 1021 kg.
How far apart are Pluto and Charon?

a.2.0 × 107 m
b.2.4 × 1012 m
c.3.8 × 1014 m
d.5.8 × 1024 m
Mathematics
1 answer:
lawyer [12.5K]2 months ago
8 0
The formula for gravitational force is F = G * m1 * m2 / r². The gravitational constant is G = 6.67 * 10^(-11) m³/kgs². Thus, we find r = sqrt(G * m1 * m2 / F) = sqrt(6.67 * 10^(-11) m³/kgs² * 1.3 * 10^(22) kg * 1.6 * 10^(21) / 3.61 * 10^(18) N) = sqrt(3.84 * 10^(14)) = 1.96 * 10^(7) m, which is approximately 2 * 10^(7) m.
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