webassign.net Ch5 work done by the applled force. x (m) 0.0 0.2 0.4 0.6 08 1.0 0
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webassign.net Ch5 work done by the applled force. x (m) 0.0 0.2 0.4 0.6 08 1.0 0 0.1 03 0.5 0.7 STRATEGY To find the work, simply count the number of boxes underneath the curve and multiply that number by the area of each box. The curve will pass through the middle of some boxes, in which case only an estimated fractional part should be counted. SOLUTION There are 62 complete or nearly complete boxes under the curve, 6 boxes that are about curve, and a triangular area from x 0 m to 0.10 m that is equivalent to 1 box, for a total of a half under the bout 66 boxes. Because the area of each box is 0.10 J, the total work done is approximately 66 x o.103 -6.6 LEARN MORE REMARKS Mathematically, there are a number of other methods for creating such estimates, all involving adding up regions approximating the area. To get a better estimate, make smaller boxes. QUESTION In developing such an estimate, is it necessary for all boxes to have the same length and width? (Select all that apply.) Yes, because otherwise the number of boxes is not prokortional to the area. No, if we have some idea what area the average box has and use the average area as an estimate. No, because counting boxes would work in exactly the same way if the boxes are rectangles but not squares Yes, because we need square boxes to count accurately. No, because we are just counting boxes, not estimating area. EXERCISE Suppose the applied force necessary to pull the drawstring on a bow is given by Figure b. Find the approximate work done from x = 0 to x " 0.5 by counting boxes. HINTS: GETTING STARTED I IMSTUCKI Need Help?Explanation / Answer
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