Physics Practice Problems Work By Variable Forces (Springs) Practice Problems Solution: A child applies a force F parallel to the ...

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Solution: 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.

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 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.