A 12-kg mass package is in a non-atmosphere asteroid of mass 1.7 x 1014 kg and radius 2,000 m. The package is released with a powerful spring whose stiffness is 315 N / m. After being launched, the package is observed to have a speed of 3.0 m / s when it is at a distance of 5,000 m from the center of the asteroid. Calculate how much the spring was compressed to launch the package?

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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.