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 13-15 Ages 16-18

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Worksheet StudioPractice pack · Ages 16-18

Hooke’s law & spring extension

Take your time. Show your thinking.

1. A spring with spring constant k = 30 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 30 N/m · x = 3 m
2. A spring with spring constant k = 54 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 54 N/m · x = 8 m
3. A spring with spring constant k = 22 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 22 N/m · x = 7 m
4. A spring with spring constant k = 50 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 50 N/m · x = 2 m
5. A spring with spring constant k = 54 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 54 N/m · x = 7 m
6. A spring with spring constant k = 45 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 45 N/m · x = 6 m
7. A spring with spring constant k = 14 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 14 N/m · x = 1 m
8. A spring with spring constant k = 38 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 38 N/m · x = 5 m
9. A spring with spring constant k = 5 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 5 N/m · x = 4 m
10. A spring with spring constant k = 57 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 57 N/m · x = 5 m
11. A spring with spring constant k = 50 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 50 N/m · x = 8 m
12. A spring with spring constant k = 7 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 7 N/m · x = 7 m

12 questions · Seed 49 · 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. A spring with spring constant k = 30 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
90 N
By Hooke’s law, F = k × x = 30 N/m × 3 m = 90 N.
2. A spring with spring constant k = 54 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
432 N
By Hooke’s law, F = k × x = 54 N/m × 8 m = 432 N.
3. A spring with spring constant k = 22 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
154 N
By Hooke’s law, F = k × x = 22 N/m × 7 m = 154 N.
4. A spring with spring constant k = 50 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
100 N
By Hooke’s law, F = k × x = 50 N/m × 2 m = 100 N.
5. A spring with spring constant k = 54 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
378 N
By Hooke’s law, F = k × x = 54 N/m × 7 m = 378 N.
6. A spring with spring constant k = 45 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
270 N
By Hooke’s law, F = k × x = 45 N/m × 6 m = 270 N.
7. A spring with spring constant k = 14 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
14 N
By Hooke’s law, F = k × x = 14 N/m × 1 m = 14 N.
8. A spring with spring constant k = 38 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
190 N
By Hooke’s law, F = k × x = 38 N/m × 5 m = 190 N.
9. A spring with spring constant k = 5 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
20 N
By Hooke’s law, F = k × x = 5 N/m × 4 m = 20 N.
10. A spring with spring constant k = 57 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
285 N
By Hooke’s law, F = k × x = 57 N/m × 5 m = 285 N.
11. A spring with spring constant k = 50 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
400 N
By Hooke’s law, F = k × x = 50 N/m × 8 m = 400 N.
12. A spring with spring constant k = 7 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
49 N
By Hooke’s law, F = k × x = 7 N/m × 7 m = 49 N.

12 questions · Seed 49 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 16-18

Hooke’s law & spring extension

Take your time. Show your thinking.

1. A spring with spring constant k = 30 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 30 N/m · x = 3 m
2. A spring with spring constant k = 54 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 54 N/m · x = 8 m
3. A spring with spring constant k = 22 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 22 N/m · x = 7 m
4. A spring with spring constant k = 50 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 50 N/m · x = 2 m
5. A spring with spring constant k = 54 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 54 N/m · x = 7 m
6. A spring with spring constant k = 45 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 45 N/m · x = 6 m
7. A spring with spring constant k = 14 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 14 N/m · x = 1 m
8. A spring with spring constant k = 38 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 38 N/m · x = 5 m
9. A spring with spring constant k = 5 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 5 N/m · x = 4 m
10. A spring with spring constant k = 57 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 57 N/m · x = 5 m
11. A spring with spring constant k = 50 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 50 N/m · x = 8 m
12. A spring with spring constant k = 7 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 7 N/m · x = 7 m

12 questions · Seed 49 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 16-18

Hooke’s law & spring extension

Answers and reasoning. Review before teaching.

1. A spring with spring constant k = 30 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
90 N
By Hooke’s law, F = k × x = 30 N/m × 3 m = 90 N.
2. A spring with spring constant k = 54 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
432 N
By Hooke’s law, F = k × x = 54 N/m × 8 m = 432 N.
3. A spring with spring constant k = 22 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
154 N
By Hooke’s law, F = k × x = 22 N/m × 7 m = 154 N.
4. A spring with spring constant k = 50 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
100 N
By Hooke’s law, F = k × x = 50 N/m × 2 m = 100 N.
5. A spring with spring constant k = 54 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
378 N
By Hooke’s law, F = k × x = 54 N/m × 7 m = 378 N.
6. A spring with spring constant k = 45 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
270 N
By Hooke’s law, F = k × x = 45 N/m × 6 m = 270 N.
7. A spring with spring constant k = 14 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
14 N
By Hooke’s law, F = k × x = 14 N/m × 1 m = 14 N.
8. A spring with spring constant k = 38 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
190 N
By Hooke’s law, F = k × x = 38 N/m × 5 m = 190 N.
9. A spring with spring constant k = 5 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
20 N
By Hooke’s law, F = k × x = 5 N/m × 4 m = 20 N.
10. A spring with spring constant k = 57 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
285 N
By Hooke’s law, F = k × x = 57 N/m × 5 m = 285 N.
11. A spring with spring constant k = 50 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
400 N
By Hooke’s law, F = k × x = 50 N/m × 8 m = 400 N.
12. A spring with spring constant k = 7 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
49 N
By Hooke’s law, F = k × x = 7 N/m × 7 m = 49 N.

12 questions · Seed 49 · Age guidance, not curriculum certification