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Science · Grades 9–12

Spring force magnitudes

Assume the spring is within its linear elastic range; convert centimetres to metres.

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The key idea

Assume the spring is within its linear elastic range; convert centimetres to metres.

|F| = k|x|

Worked examples

A spring has constant 370 N/m and extension 4 cm within its linear range. Find the restoring-force magnitude in N.

370 × 0.04 = 14.8

14.8 N

A spring has constant 360 N/m and extension 18 cm within its linear range. Find the restoring-force magnitude in N.

360 × 0.18 = 64.8

64.8 N

Try it yourself

  1. A spring has constant 360 N/m and extension 14 cm within its linear range. Find the restoring-force magnitude in N.

  2. A spring has constant 360 N/m and extension 2 cm within its linear range. Find the restoring-force magnitude in N.

Check your understanding

Answers and marking notes
  1. 50.4 N

    360 × 0.14 = 50.4

  2. 7.2 N

    360 × 0.02 = 7.2

Further reading and review references

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Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.