The work done by a variable force is given by W = ∫ F dx. Calculating this integral is equivalent to calculating the area under the F vs. x curve! Estimate the work (in Joules) that was done to stretch the rubber band from x = 0 (unstretched) to x = 1/2 xmax (half of the maximum stretch). Approximate the area under the curve using 5 vertical columns, as shown below. Draw the columns used onto the F vs. x graph for the rubber band, and show your calculation in the space below.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 8OQ: If the net work done by external forces on a particle is zero, which of the following statements...
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  1. The work done by a variable force is given by W = ∫ F dx. Calculating this integral is equivalent to calculating the area under the F vs. x curve! Estimate the work (in Joules) that was done to stretch the rubber band from x = 0 (unstretched) to x = 1/2 xmax (half of the maximum stretch). Approximate the area under the curve using 5 vertical columns, as shown below. Draw the columns used onto the F vs. x graph for the rubber band, and show your calculation in the space below.

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