A bus contains a 1600 kg flywheel (a disk that has a 0.62 m radius) and has a total mass of 9200 kg. Randomized Variablesm = 1600 kg r = 0.62 m mt = 9200 kg v1 = 23 m/s v2 = 2.75 m/s Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 23 m/s in rad/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy. How high a hill can the bus climb with this stored energy and still have a speed of 2.75 m/s at the top of the hill in m?

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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.