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Work

Part of the Mechanics section of Coddy's Physics journey. Lesson 47 of 94.

A force does work on an object when the object moves while the force acts. Only the part of the force along the motion counts:

W = F d cos θ

θ is the angle between the force and the displacement. Work is in joules.

A sled on flat snow pulled by a rope force F at angle theta above the ground; the dashed part F cos theta lies along the displacement d, which points to the right

Only the part of F along the displacement d does work.

A force perpendicular to the motion does no work: cos 90° = 0.

A force against the motion, like friction, does negative work: cos 180° = -1.

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Challenge

A child pulls a wagon by its handle with 30 N at 60° above the ground, and the pull does 300 J of work. How far does the wagon move? Call the distance d.

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