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step 3/3 when the force doubles, the extension doubles. so the extension at 80 n will be double 8 cm. use this to predict the extension

Question

Step 3/3 When the force doubles, the extension doubles. So the extension at 80 N will be double 8 cm. Use this to predict the extension if the force is 80 N. Enter numper cm

Answer

4.4 (178 Votes)
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Austin Elite · Tutor for 8 years

Answer

16 cm

Explanation

This question refers to Hooke's law which states that the force needed to extend or compress a spring by some distance is proportional to that distance. As stated in the question, the extension doubles when the force doubles, which indicates that the spring is following Hooke's law. Given that the extension is 8 cm for 40N, if you double the force to 80N, the extension will eventually double from 8 cm to 16 cm.