A weather satellite is to be placed in a circular orbit around the earth at an altitude of 300 miles. Its initial velocity in orbit is parallel to the earth's surface. What should this initial velocity be? (Hint: Get the value of acceleration due to gravity, g at the initial position of the satellite, but not considering the effect of the earth's rotation.)

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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.