Problem: A child applies a force F parallel to the x-axis to a 8.00-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 . Suppose the sled is initially at rest at x=0. You can ignore friction between the sled and the surface of the pond.You may want to review (Pages 183 - 189). For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Motion on a curved path.Use the work-energy theorem to find the speed of the sled at 5.0 m.Use the work-energy theorem to find the speed of the sled at 11.0 m.

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A child applies a force F parallel to the x-axis to a 8.00-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 The plot shows the force F subscript x as a function of distance x. The force ranges from zero newtons to 10 newtons on the y axis. The range of distance shown is from zero meters to 12 meters on the x axis. The force is shown to increase linearly from 0 meters and 0 newtons to 8 meters and 10 newtons. Then it decreases linearly to 12 meters and 0 newtons.. Suppose the sled is initially at rest at x=0. You can ignore friction between the sled and the surface of the pond.

You may want to review (Pages 183 - 189).

For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Motion on a curved path.

Use the work-energy theorem to find the speed of the sled at 5.0 m.

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

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Our tutors have indicated that to solve this problem you will need to apply the Work By Variable Forces (Springs) concept. You can view video lessons to learn Work By Variable Forces (Springs). Or if you need more Work By Variable Forces (Springs) practice, you can also practice Work By Variable Forces (Springs) practice problems.