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

question 56

Multiple Choice

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

• A) \(8.08 \mathrm {~cm}\)
• B) \(6.38 \mathrm {~cm}\)
• C) \(4.68 \mathrm {~cm}\)
• D) \(2.98 \mathrm {~cm}\)
• E) \(9.78 \mathrm {~cm}\)

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