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3. (20 pts) An object of mass m = 5.00 kg initially moving with velocity Vo = 15.0 m/s and located at Xo = 0.00

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3. (20 pts) An object of mass m = 5.00 kg initially moving with velocity Vo = 15.0 m/s and located at Xo = 0.00 m is acted on by a variable one-dimensional force F in the x direction. The force F as a function of position x is given by the graph and equation shown in Figure 3. Units are not shown in the equation, but are assumed to be in units of newtons if position is measured in units of meters. If this is the only force that acts on the object, calculate the velocity v of the object in the x direction when the object reaches the position x = 10.0 m. Make use of the Work-Kinetic Energy Theorem and your knowledge of work for a variable force. Report your answer to three significant figures. One-Dimensional Variable Force as a Function of Position 120 0 100 0 F = x2 Force F [N] 4510 0:00 1.00 2/00 3.00 4.00 5/00 600 7.00 8.00 9.00 10.00 Position * [m] Figure 3. One-dimensional variable force F as a function of position x

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