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

question 32

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, where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied.
Find the equation of the line that seems to best fit the data. Use the model to estimate the elongation of the spring when a force of 35 kilograms is applied. Round your answer to one decimal place.

• A) 2.9 centimeters
• B) 8.7 centimeters
• C) 4.4 centimeters
• D) 5.8 centimeters
• E) 11.6 centimeters

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