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.
Calculate the work done by 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.