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

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 the figure

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 the figure Calculate the work done by the force vector F when the sled moves from x =0 to x=8.0 m. Calculate the work done by the force vector F when the sled moves from x=8.0 m to x =12.0 m. Calculate the work done by the force vector F when the sled moves from x =0 to x=12.0 m.

Explanation / Answer

work done = area under the F-x curve.
W(0 to 8) = 8 x10/2 = 40 J

w(8 to 12) = 10 x (12-8)/2 = 20 J

W(0 to 12) = 12 x 10/2 = 60J

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