Part A A rope is wrapped around a wheel with radius 2 feet.  If the radius of the wheel is increased by 1 foot to a radius of 3 feet, by how much must the rope be lengthened to fit around the wheel? Part B Consider a rope wrapped around the Earth's equator. The radius of the Earth is about 4000 miles.  That is 21,120,000 feet.  Suppose now that the rope is to be suspended exactly 1 foot above the equator,  By how much must the rope be lengthened to accomplish this?

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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.