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Physics · Grades 9–12

Extension of an ideal spring

Stay in the linear elastic range; extension is not total spring length.

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Rule and assumptions

Stay in the linear elastic range; extension is not total spring length.

x = F/k

Worked examples

An ideal spring obeys F = kx with k = 670 N/m. A force of 33 N is applied within its linear range. Find its extension. Round to 3 decimal places if needed. Answer in m.

x = F/k 33 / 670 = 0.049

0.049 m

An ideal spring obeys F = kx with k = 770 N/m. A force of 39 N is applied within its linear range. Find its extension. Round to 3 decimal places if needed. Answer in m.

x = F/k 39 / 770 = 0.051

0.051 m

Try two questions

  1. An ideal spring obeys F = kx with k = 650 N/m. A force of 2 N is applied within its linear range. Find its extension. Round to 3 decimal places if needed. Answer in m.

  2. An ideal spring obeys F = kx with k = 480 N/m. A force of 16 N is applied within its linear range. Find its extension. Round to 3 decimal places if needed. Answer in m.

Answers and reasoning

Answers and marking notes
  1. 0.003 m

    x = F/k 2 / 650 = 0.003

  2. 0.033 m

    x = F/k 16 / 480 = 0.033

Further reading and review references

These are reference links, not copied exercises, institutional endorsement or proof of independent review.

Learning preview · independent educational and translation review required. Suggested grades are not official curriculum alignment.