A child applies a force F ? parallel to the x -axis to a 10.0-kg sled moving on

Question

A child applies a force 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 figure (Figure 1) . Suppose the sled is initially at rest at x=0. You can ignore friction between the sled and the surface of the pond.

Part A

Use the work-energy theorem to find the speed of the sled at 1.0m

Part B

Use the work-energy theorem to find the speed of the sled at 11.0m .

Explanation / Answer

The work done equals the area under the graph.
a) 1/2* 10N*1m = 5 J
b) 1/2 * 10 N * 11m = 55J

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