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ScienceAges 16-18

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.

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Age band:Ages 13-15Ages 16-18

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Worksheet StudioPractice pack · Ages 16-18

Hooke’s law & spring extension

Take your time. Show your thinking.

  1. 1. A spring with spring constant k = 23 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    k = 23 N/m · x = 5 m

  2. 2. A spring with spring constant k = 15 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.

    k = 15 N/m · x = 7 m

  3. 3. A spring with spring constant k = 45 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.

    k = 45 N/m · x = 4 m

  4. 4. A spring with spring constant k = 22 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 22 N/m · x = 1 m

  5. 5. A spring with spring constant k = 37 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 37 N/m · x = 1 m

  6. 6. A spring with spring constant k = 40 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 40 N/m · x = 1 m

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

    k = 8 N/m · x = 8 m

  8. 8. A spring with spring constant k = 50 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 50 N/m · x = 1 m

  9. 9. A spring with spring constant k = 35 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.

    k = 35 N/m · x = 8 m

  10. 10. A spring with spring constant k = 29 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    k = 29 N/m · x = 5 m

  11. 11. A spring with spring constant k = 45 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    k = 45 N/m · x = 5 m

  12. 12. A spring with spring constant k = 18 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.

    k = 18 N/m · x = 4 m
12 questions · Seed 104733 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 16-18

Hooke’s law & spring extension

Answers and reasoning. Review before teaching.

  1. 1. A spring with spring constant k = 23 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    115 N

    By Hooke’s law, F = k × x = 23 N/m × 5 m = 115 N.

  2. 2. A spring with spring constant k = 15 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.

    105 N

    By Hooke’s law, F = k × x = 15 N/m × 7 m = 105 N.

  3. 3. A spring with spring constant k = 45 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.

    180 N

    By Hooke’s law, F = k × x = 45 N/m × 4 m = 180 N.

  4. 4. A spring with spring constant k = 22 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    22 N

    By Hooke’s law, F = k × x = 22 N/m × 1 m = 22 N.

  5. 5. A spring with spring constant k = 37 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    37 N

    By Hooke’s law, F = k × x = 37 N/m × 1 m = 37 N.

  6. 6. A spring with spring constant k = 40 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    40 N

    By Hooke’s law, F = k × x = 40 N/m × 1 m = 40 N.

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

    64 N

    By Hooke’s law, F = k × x = 8 N/m × 8 m = 64 N.

  8. 8. A spring with spring constant k = 50 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    50 N

    By Hooke’s law, F = k × x = 50 N/m × 1 m = 50 N.

  9. 9. A spring with spring constant k = 35 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.

    280 N

    By Hooke’s law, F = k × x = 35 N/m × 8 m = 280 N.

  10. 10. A spring with spring constant k = 29 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    145 N

    By Hooke’s law, F = k × x = 29 N/m × 5 m = 145 N.

  11. 11. A spring with spring constant k = 45 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    225 N

    By Hooke’s law, F = k × x = 45 N/m × 5 m = 225 N.

  12. 12. A spring with spring constant k = 18 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.

    72 N

    By Hooke’s law, F = k × x = 18 N/m × 4 m = 72 N.

12 questions · Seed 104733 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18

Hooke’s law & spring extension

Take your time. Show your thinking.

  1. 1. A spring with spring constant k = 23 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    k = 23 N/m · x = 5 m

  2. 2. A spring with spring constant k = 15 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.

    k = 15 N/m · x = 7 m

  3. 3. A spring with spring constant k = 45 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.

    k = 45 N/m · x = 4 m

  4. 4. A spring with spring constant k = 22 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 22 N/m · x = 1 m

  5. 5. A spring with spring constant k = 37 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 37 N/m · x = 1 m

  6. 6. A spring with spring constant k = 40 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 40 N/m · x = 1 m

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

    k = 8 N/m · x = 8 m

  8. 8. A spring with spring constant k = 50 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    k = 50 N/m · x = 1 m

  9. 9. A spring with spring constant k = 35 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.

    k = 35 N/m · x = 8 m

  10. 10. A spring with spring constant k = 29 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    k = 29 N/m · x = 5 m

  11. 11. A spring with spring constant k = 45 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    k = 45 N/m · x = 5 m

  12. 12. A spring with spring constant k = 18 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.

    k = 18 N/m · x = 4 m
12 questions · Seed 104733 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18

Hooke’s law & spring extension

Answers and reasoning. Review before teaching.

  1. 1. A spring with spring constant k = 23 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    115 N

    By Hooke’s law, F = k × x = 23 N/m × 5 m = 115 N.

  2. 2. A spring with spring constant k = 15 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.

    105 N

    By Hooke’s law, F = k × x = 15 N/m × 7 m = 105 N.

  3. 3. A spring with spring constant k = 45 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.

    180 N

    By Hooke’s law, F = k × x = 45 N/m × 4 m = 180 N.

  4. 4. A spring with spring constant k = 22 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    22 N

    By Hooke’s law, F = k × x = 22 N/m × 1 m = 22 N.

  5. 5. A spring with spring constant k = 37 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    37 N

    By Hooke’s law, F = k × x = 37 N/m × 1 m = 37 N.

  6. 6. A spring with spring constant k = 40 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    40 N

    By Hooke’s law, F = k × x = 40 N/m × 1 m = 40 N.

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

    64 N

    By Hooke’s law, F = k × x = 8 N/m × 8 m = 64 N.

  8. 8. A spring with spring constant k = 50 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.

    50 N

    By Hooke’s law, F = k × x = 50 N/m × 1 m = 50 N.

  9. 9. A spring with spring constant k = 35 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.

    280 N

    By Hooke’s law, F = k × x = 35 N/m × 8 m = 280 N.

  10. 10. A spring with spring constant k = 29 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    145 N

    By Hooke’s law, F = k × x = 29 N/m × 5 m = 145 N.

  11. 11. A spring with spring constant k = 45 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.

    225 N

    By Hooke’s law, F = k × x = 45 N/m × 5 m = 225 N.

  12. 12. A spring with spring constant k = 18 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.

    72 N

    By Hooke’s law, F = k × x = 18 N/m × 4 m = 72 N.

12 questions · Seed 104733 · Age guidance, not curriculum certification