6)
Mars has a mass of about 6.66 × 10^23 kg, and its moon Phobos has a mass of about 9.6 × 10^15 kg.If the magnitude of the gravitational force between the two bodies is 4.68 × 10^15 N,how far apart are Mars and Phobos? The value of the universal gravitational constant is 6.673× 10^−11 N · m^2/kg^2
Answer in units of m
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Verified answer
Solve Newton’s law of universal gravitation for r:
F = GMm/r²
r = √[GMm/F]
= √[(6.67 x 10⁻¹¹N•m²/kg²)(6.66 x 10²³kg)(9.6 x 10¹⁵kg) / 4.68 x 10¹⁵N]
= 9.5 x 10^6m
Hope this helps.