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Grade: upto college level
        The moon takes about 27.3 days to revolve round the earth in a nearly circular orbit of radius 3.84 × 105 km. Calculate the mass of the earth from these data.
5 years ago

Answers : (1)

Aditi Chauhan
askIITians Faculty
396 Points
							Sol. T = 2π √r^3/GM
27.3 = 2 * 3.14 √(3.84 * 10^5)^3/6.67 * 10^-11 * M
or 2.73 * 2.73 = 2 * 3.14 * (3.84 * 10^5)^3/6.67 * 10^-11 * M
or M = 2 * (3.14)^2 * (3.84)^3 * 10^15/3.335 * 10^-11 (27.3)^2 = 6.02 * 10^24 kg
∴ mass of earth si found to be 6.02 * 10^24 kg.

						
5 years ago
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