a ship is orbiting a planet (M = 3.0 x 10^24 kg with a radius R = 3,600 km) roughly 10,000 km from the planets surface. a) determine the force of gravity acting on the ship? b) what is the orbital velocity of a ship circling the planet at this distance? c) what is the period of rotation (T) of the ship in this orbit?

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.