The gravitational force between two asteroids is 6 point 2 times 10 to the 8th power cap n Asteroid cap y has three times the mass of asteroid cap z If the distance between the asteroids is 2100 kilometers, what is the mass of asteroid cap y ?

Convert the distance to meters: 2,100 km = 2.1 × 10^6 m. Since asteroid Y has three times asteroid Z’s mass, the gravitational-force equation becomes F = Gmᵧ²/(3r²), so mᵧ = √(3Fr²/G). Substituting F = 6.2 × 10^8 N and G = 6.67 × 10^-11 gives approximately 1.1 × 10^16 kg, so the mass is choice C.

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