A child applies a force F S parallel to the x-axis to a

Chapter 6, Problem 6.36

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A child applies a force \(\vec{F}\) parallel to the x-axis to a 10.0-kg sled moving on the frozen surface of a small pond. As the child controls the speed of  the sled, the x-component of the force she applies varies with  the x-coordinate of the sled as shown in Fig. E6.36. Calculate the work done by \(\vec{F}\) when the sled moves (a) from x = 0  to x = 8.0 m; (b) from x = 8.0 m to x = 12.0 m; (c) from x = 0 to 12.0 m.

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