A satellite travels with constant speed v in a circular orbit 320 km above the earth's surface. Calculate v knowing that the acceleration of the satellite is the gravitational acceleration at its altitude. (Note: Use the mean value of g and the mean value of the earth's radius. Also recognize that v is the magnitude of the velocity of the satellite with respect to the center of the earth.)

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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.