Exam 11: Gravity,planetary Orbits,and the Hydrogen Atom

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Two stars of masses M and 6M are separated by a distance D.Determine the distance (measured from M)to a point at which the net gravitational force on a third mass would be zero.

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Planet Zero has a mass of 5.0 *1023 kg and a radius of 2.0 * 106 m.A space probe is launched vertically from the surface of Zero with an initial speed of 4.0 km/s.What is the speed of the probe when it is 3.0 * 106 m from Zero's center?

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