Two meteoroids are 250,000 km from Earth's center and moving at 2.1 km/s. One is headed straight for Earth's center, while the other is on a path that will come within 8500 km of Earth's center. Find the speed (a) of the first meteoroid when it strikes Earth and (b) of the second meteoroid at its closest approach. (c) Will the second meteoroid ever return to Earth's vicinity? 8500 km

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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.