Ask Question
3 March, 16:43

Problem 12.78 Determine the mass of the earth knowing that the mean radius of the moon's orbit about the earth is 238,910 mi and that the moon requires 27.32 days to complete one full revolution about the earth.

+1
Answers (1)
  1. 3 March, 19:40
    0
    M_e = 6.04 * 10^24 kg

    Explanation:

    Given:

    - The time period of moon orbit T = 27.32 days

    - Distance from center of earth to moon r = 238,910 miles

    - The gravitational constant G = 6.67408 * 10^-11

    Find:

    - Determine the mass of the earth

    Solution:

    - The mass of earth as a function of time period T and radius of orbit r is related by an expression as follows:

    M_e = (2*pi / T) ^2 * (r^3 / G)

    M_e = (2*pi / 27.32*24*60*60) ^2 * (238910*1609 / 6.67408 * 10^-11)

    M_e = 6.04 * 10^24 kg
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Problem 12.78 Determine the mass of the earth knowing that the mean radius of the moon's orbit about the earth is 238,910 mi and that the ...” in 📘 Physics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers