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3. (20 pts) An object of mass m = 3.00 kg initially at rest (Vo = 0.00 m/s) and located at X, = 0.00 m

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3. (20 pts) An object of mass m = 3.00 kg initially at rest (Vo = 0.00 m/s) and located at X, = 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 shown in Figure 3. If this is the only force that acts on the object, use the graph to estimate the velocity v of the object in the x direction when the object reaches the position x = 8.00 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 80.0 Force F [N] 60.0 40.0 20.0 0.0 0.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 Position x [m] Figure 3. One-dimensional variable force F as a function of position x

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