PCS 211 Lecture Notes - Lecture 13: Orbital Speed

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Two point objects of equal mass m each are separated by a distance. Three spheres of mass 5. 0-kg each are located at points in the xy-plane, as shown. Assume no other gravitational forces exist except those between spheres. 1 (a) what is the potential energy of the three massive spheres when in the positions shown? (b) how much energy would it be required to remove sphere 3 from its position at x = 0, y. Question 5. (a) the planet venus requires 225 days to orbit the sun (msun = 1. 99 1030 kg), in an almost circular trajectory. Calculate the radius of the orbit and the orbital speed of venus as it circles the sun. (b) three satellites orbit a planet of radius r as shown in the figure. Satellites s1 and s3 have mass m and satellite s2 has mass 2m.

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