Small practice. Bright discoveries.Explore the free starter collection
worksheetstudio.
Sign in
Back to worksheets
ScienceAges 13-15

Hooke’s law & spring extension

Use Hooke’s law (F = kx) to calculate the force needed to extend an elastic spring. Review suitability for your learners before teaching.

New variationTry interactive challengeBrowse templates
Age band:Ages 13-15Ages 16-18

Choose “Save as PDF” to keep a copy. Use your browser’s paper setting for A4 or Letter.

Worksheet StudioPractice pack · Ages 13-15

Hooke’s law & spring extension

Take your time. Show your thinking.

  1. 1. A spring with spring constant k = 48 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    k = 48 N/m · x = 5 m

  2. 2. A spring with spring constant k = 56 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 56 N/m · x = 1 m

  3. 3. A spring with spring constant k = 15 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 15 N/m · x = 1 m

  4. 4. A spring with spring constant k = 15 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    k = 15 N/m · x = 3 m

  5. 5. A spring with spring constant k = 25 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 25 N/m · x = 1 m

  6. 6. A spring with spring constant k = 10 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.

    k = 10 N/m · x = 6 m

  7. 7. A spring with spring constant k = 48 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    k = 48 N/m · x = 3 m

  8. 8. A spring with spring constant k = 25 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    k = 25 N/m · x = 3 m

  9. 9. A spring with spring constant k = 14 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.

    k = 14 N/m · x = 8 m

  10. 10. A spring with spring constant k = 39 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.

    k = 39 N/m · x = 7 m

  11. 11. A spring with spring constant k = 59 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 59 N/m · x = 1 m

  12. 12. A spring with spring constant k = 27 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    k = 27 N/m · x = 3 m
12 questions · Seed 104729 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 13-15

Hooke’s law & spring extension

Answers and reasoning. Review before teaching.

  1. 1. A spring with spring constant k = 48 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    240 N

    By Hooke’s law, F = k × x = 48 N/m × 5 m = 240 N.

  2. 2. A spring with spring constant k = 56 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    56 N

    By Hooke’s law, F = k × x = 56 N/m × 1 m = 56 N.

  3. 3. A spring with spring constant k = 15 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    15 N

    By Hooke’s law, F = k × x = 15 N/m × 1 m = 15 N.

  4. 4. A spring with spring constant k = 15 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    45 N

    By Hooke’s law, F = k × x = 15 N/m × 3 m = 45 N.

  5. 5. A spring with spring constant k = 25 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    25 N

    By Hooke’s law, F = k × x = 25 N/m × 1 m = 25 N.

  6. 6. A spring with spring constant k = 10 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.

    60 N

    By Hooke’s law, F = k × x = 10 N/m × 6 m = 60 N.

  7. 7. A spring with spring constant k = 48 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    144 N

    By Hooke’s law, F = k × x = 48 N/m × 3 m = 144 N.

  8. 8. A spring with spring constant k = 25 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    75 N

    By Hooke’s law, F = k × x = 25 N/m × 3 m = 75 N.

  9. 9. A spring with spring constant k = 14 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.

    112 N

    By Hooke’s law, F = k × x = 14 N/m × 8 m = 112 N.

  10. 10. A spring with spring constant k = 39 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.

    273 N

    By Hooke’s law, F = k × x = 39 N/m × 7 m = 273 N.

  11. 11. A spring with spring constant k = 59 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    59 N

    By Hooke’s law, F = k × x = 59 N/m × 1 m = 59 N.

  12. 12. A spring with spring constant k = 27 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    81 N

    By Hooke’s law, F = k × x = 27 N/m × 3 m = 81 N.

12 questions · Seed 104729 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Hooke’s law & spring extension

Take your time. Show your thinking.

  1. 1. A spring with spring constant k = 48 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    k = 48 N/m · x = 5 m

  2. 2. A spring with spring constant k = 56 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 56 N/m · x = 1 m

  3. 3. A spring with spring constant k = 15 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 15 N/m · x = 1 m

  4. 4. A spring with spring constant k = 15 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    k = 15 N/m · x = 3 m

  5. 5. A spring with spring constant k = 25 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 25 N/m · x = 1 m

  6. 6. A spring with spring constant k = 10 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.

    k = 10 N/m · x = 6 m

  7. 7. A spring with spring constant k = 48 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    k = 48 N/m · x = 3 m

  8. 8. A spring with spring constant k = 25 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    k = 25 N/m · x = 3 m

  9. 9. A spring with spring constant k = 14 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.

    k = 14 N/m · x = 8 m

  10. 10. A spring with spring constant k = 39 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.

    k = 39 N/m · x = 7 m

  11. 11. A spring with spring constant k = 59 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 59 N/m · x = 1 m

  12. 12. A spring with spring constant k = 27 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    k = 27 N/m · x = 3 m
12 questions · Seed 104729 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Hooke’s law & spring extension

Answers and reasoning. Review before teaching.

  1. 1. A spring with spring constant k = 48 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    240 N

    By Hooke’s law, F = k × x = 48 N/m × 5 m = 240 N.

  2. 2. A spring with spring constant k = 56 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    56 N

    By Hooke’s law, F = k × x = 56 N/m × 1 m = 56 N.

  3. 3. A spring with spring constant k = 15 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    15 N

    By Hooke’s law, F = k × x = 15 N/m × 1 m = 15 N.

  4. 4. A spring with spring constant k = 15 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    45 N

    By Hooke’s law, F = k × x = 15 N/m × 3 m = 45 N.

  5. 5. A spring with spring constant k = 25 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    25 N

    By Hooke’s law, F = k × x = 25 N/m × 1 m = 25 N.

  6. 6. A spring with spring constant k = 10 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.

    60 N

    By Hooke’s law, F = k × x = 10 N/m × 6 m = 60 N.

  7. 7. A spring with spring constant k = 48 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    144 N

    By Hooke’s law, F = k × x = 48 N/m × 3 m = 144 N.

  8. 8. A spring with spring constant k = 25 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    75 N

    By Hooke’s law, F = k × x = 25 N/m × 3 m = 75 N.

  9. 9. A spring with spring constant k = 14 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.

    112 N

    By Hooke’s law, F = k × x = 14 N/m × 8 m = 112 N.

  10. 10. A spring with spring constant k = 39 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.

    273 N

    By Hooke’s law, F = k × x = 39 N/m × 7 m = 273 N.

  11. 11. A spring with spring constant k = 59 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    59 N

    By Hooke’s law, F = k × x = 59 N/m × 1 m = 59 N.

  12. 12. A spring with spring constant k = 27 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.

    81 N

    By Hooke’s law, F = k × x = 27 N/m × 3 m = 81 N.

12 questions · Seed 104729 · Age guidance, not curriculum certification