A moon is in orbit around a planet. The moon's orbit has a semimajor axis of 3.5 x 108 m and has an orbital period of 1.618 days. Use these data to estimate the mass of the planet. Express the mass of the planet, M, in terms of the orbital period T, the length a of the orbit's semimajor axis, and the universal gravitation constant G. M= (Use integers or fractions for any numbers in the expression.)
A moon is in orbit around a planet. The moon's orbit has a semimajor axis of 3.5 x 108 m and has an orbital period of 1.618 days. Use these data to estimate the mass of the planet. Express the mass of the planet, M, in terms of the orbital period T, the length a of the orbit's semimajor axis, and the universal gravitation constant G. M= (Use integers or fractions for any numbers in the expression.)
College Physics
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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
Transcribed Image Text:A moon is in orbit around a planet. The moon's orbit has a semimajor axis of 3.5 x 108 m and has an orbital
period of 1.618 days. Use these data to estimate the mass of the planet.
Express the mass of the planet, M, in terms of the orbital period T, the length a of the orbit's semimajor axis,
and the universal gravitation constant G.
M=
(Use integers or fractions for any numbers in the expression.)
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