A 19 kg. rock is thrown straight down toward the Earth from a distance of 10 earth radii above the surface of the Earth with a speed of 5400 m/s. The radius of the Earth is 6370000 meters. The mass of the earth is 5.98e+24 kg. (A)Find the initial kinetic energy of the rock (in J)     (B)Find the initial potential energy (in J) of the rock (HINT: the "r" in the potential energy formula is measured from the CENTER of the Earth).     (C)Find the total initial energy (in J) of the rock     (D)What is the potential energy (in J) of the rock after it has fallen 4 Earth radii from its original position.

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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.