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Hooke's Law States That the Force F Required to Compress dd

question 56

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Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance dd that the spring is compressed or stretched from its original length. That is, F=kdF = k d where kk is a measure of the stiffness of the spring and is called the spring constant. The table shows the elongation dd in centimeters of a spring when a force of FF newtons is applied. Use the model d=0.085Fd = 0.085 F to estimate the elongation of the spring when a force of 55 newtons is applied. Round your answer to two decimal places.
F20406080100d1.73.45.16.88.5\begin{array}{|c|c|c|c|c|c|}\hline F & 20 & 40 & 60 & 80 & 100 \\\hline d & 1.7 & 3.4 & 5.1 & 6.8 & 8.5 \\\hline\end{array}

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