Jimmy is at the bottom of a hill while Billy is on the hill a distance 43 m up the hill from the bottom. Jimmy is at the origin of an xy coordinate system, and the line that follows the slope of the hill has an equation y = (0.62) x. Jimmy throws an apple to Billy at an angle of 53° with respect to the horizontal. The acceleration of gravity is 9.8 m/s². Iy VO 53° y = 0.62 x 43 m Billy X Jimmy With what speed vo must he throw the apple to reach Billy? Answer in units of m/s.

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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.