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A graph depicts force versus position. What represents the work done by the force over the given displacement?
A. The work done is equal to the product of the maximum force times the maximum position.
B. The work done is equal to the area under the curve.
C. Work cannot be determined from this type of graph.
D. The work done is equal to length of the curve.
E. The work done is equal to the slope of the curve.
With a force/distance graph, the work is the area under the graph.
If the graph is curved, broken, or some other screwy shape that makes it difficult to get the area in any simple way, then work is the integral of the function represented by the graph.
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