projectile is shot directly away from Earth's surface. Neglect the rotation of Earth (a) As a multiple of Earth's radius Re, what is the radial distance a projectile reaches if its initial speed is 0.460 of the escape speed from Earth? (b) As a multiple of Earth's radius Re, what is the radial distance a projectile reaches if its initial kinetic energy is 0.430 of the kinetic energy required to escape Earth? (c) What is the least initial mechanical energy required at launch if the projectile is to escape Earth? Additional Materiale

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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.