A research team has discovered that a moon is circling a planet of our solar system: The moon orbits the planet once every 8 hours on a nearly circular orbit in a distance R of 50,000 km from the centre of the planet. Unfortunately, the mass m of the moon is not known. Use Newton's lawNof gravitation with G=6.67 10^-11 m^3/(kg.s^2)to approach the following questions: F=G.(mM)/(R^2) (1) (a) Based on the observations, determine the total mass M of the planet.

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A research team has discovered that a moon is circling a planet of our solar system: The moon

orbits the planet once every 8 hours on a nearly circular orbit in a distance R of 50,000 km from the centre of the planet. Unfortunately, the mass m of the moon is not known. Use Newton's lawNof gravitation with G=6.67 10^-11 m^3/(kg.s^2)to approach the following questions:

F=G.(mM)/(R^2)

(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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