A train slows down as it rounds a sharp horizontal turn, going from 96.0 km/h to 46.0 km/h in the 18.0 s that it takes to round the bend. The radius of the curve is 170 m. Compute the acceleration at the moment the train speed reaches 46.0 km/h. Assume the train continues to slow down at this time at the same rate. magnitude m/s² direction • backward (behind the radial line pointing inward)

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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.