for a non-constant force, the work done is equal to the area under the curve of
ID: 2108966 • Letter: F
Question
for a non-constant force, the work done is equal to the area under the curve of a plot of force as a function of
distance. For an ideal spring, W= (1/2)kx^2
W = Figure 7.10 in the OpenStax textbook shows the Force vs. stretch plot for an ideal spring. However, some springs are tightly wound and require a minimum force before they begin stretching. The F vs x plot of such a spring is shown at left. The work done by a force stretching this spring is, again, the area under the curve. Deter- mine the work in joules required to stretch this spring by 10.0 cm. (Answer: 2.0 J. Of course, you must show how.)
Explanation / Answer
area under curve= area of rectanle+ area of traingle above that rectangle area of recatangle=10*0.1=1 J area of traiangle=1/2*[30-10]*0.1=1 J total area=1+1=2 J
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