A research team has discovered that a moon is circling a planet of our solar system: The moon orbits the planet once every 7 hours on a nearly circular orbit in a distance R of 48000 km from the centre of the planet. Unfortunately, the mass m of the moon is not known. Use Newton's law of gravitation with G = 6.67 · 10–11 m³/(kg-s²) to approach the following questions: тМ F = G · R? (1) (a) Based on the observations, determine the total mass M of the planet. (b) Which moon and planet of our solar system is the team observing? (Use literature.)
A research team has discovered that a moon is circling a planet of our solar system: The moon orbits the planet once every 7 hours on a nearly circular orbit in a distance R of 48000 km from the centre of the planet. Unfortunately, the mass m of the moon is not known. Use Newton's law of gravitation with G = 6.67 · 10–11 m³/(kg-s²) to approach the following questions: тМ F = G · R? (1) (a) Based on the observations, determine the total mass M of the planet. (b) Which moon and planet of our solar system is the team observing? (Use literature.)
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Transcribed Image Text:A research team has discovered that a moon is circling a planet of our solar system: The moon
orbits the planet once every 7 hours on a nearly circular orbit in a distance R of 48000 km from
the centre of the planet. Unfortunately, the mass m of the moon is not known. Use Newton's law
of gravitation with G = 6.67 · 10-11 m³/(kg-s²) to approach the following questions:
mM
F = G ·
R?
(1)
(a) Based on the observations, determine the total mass M of the planet.
(b) Which moon and planet of our solar system is the team observing? (Use literature.)
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