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 = 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
2. A spring with spring constant k = 6 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 6 N/m · x = 5 m
3. A spring with spring constant k = 27 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 27 N/m · x = 6 m
4. A spring with spring constant k = 26 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 26 N/m · x = 7 m
5. A spring with spring constant k = 36 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 36 N/m · x = 8 m
6. A spring with spring constant k = 60 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 60 N/m · x = 5 m
7. A spring with spring constant k = 58 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 58 N/m · x = 1 m
8. A spring with spring constant k = 40 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 40 N/m · x = 3 m
9. A spring with spring constant k = 26 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 26 N/m · x = 3 m
10. A spring with spring constant k = 40 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 40 N/m · x = 6 m
11. A spring with spring constant k = 7 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 7 N/m · x = 5 m
12. A spring with spring constant k = 13 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 13 N/m · x = 3 m

12 questions · Seed 104732 · 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 = 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.
2. A spring with spring constant k = 6 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
30 N
By Hooke’s law, F = k × x = 6 N/m × 5 m = 30 N.
3. A spring with spring constant k = 27 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
162 N
By Hooke’s law, F = k × x = 27 N/m × 6 m = 162 N.
4. A spring with spring constant k = 26 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
182 N
By Hooke’s law, F = k × x = 26 N/m × 7 m = 182 N.
5. A spring with spring constant k = 36 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
288 N
By Hooke’s law, F = k × x = 36 N/m × 8 m = 288 N.
6. A spring with spring constant k = 60 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
300 N
By Hooke’s law, F = k × x = 60 N/m × 5 m = 300 N.
7. A spring with spring constant k = 58 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
58 N
By Hooke’s law, F = k × x = 58 N/m × 1 m = 58 N.
8. A spring with spring constant k = 40 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
120 N
By Hooke’s law, F = k × x = 40 N/m × 3 m = 120 N.
9. A spring with spring constant k = 26 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
78 N
By Hooke’s law, F = k × x = 26 N/m × 3 m = 78 N.
10. A spring with spring constant k = 40 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
240 N
By Hooke’s law, F = k × x = 40 N/m × 6 m = 240 N.
11. A spring with spring constant k = 7 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
35 N
By Hooke’s law, F = k × x = 7 N/m × 5 m = 35 N.
12. A spring with spring constant k = 13 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
39 N
By Hooke’s law, F = k × x = 13 N/m × 3 m = 39 N.

12 questions · Seed 104732 · 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 = 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
2. A spring with spring constant k = 6 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 6 N/m · x = 5 m
3. A spring with spring constant k = 27 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 27 N/m · x = 6 m
4. A spring with spring constant k = 26 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 26 N/m · x = 7 m
5. A spring with spring constant k = 36 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 36 N/m · x = 8 m
6. A spring with spring constant k = 60 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 60 N/m · x = 5 m
7. A spring with spring constant k = 58 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 58 N/m · x = 1 m
8. A spring with spring constant k = 40 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 40 N/m · x = 3 m
9. A spring with spring constant k = 26 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 26 N/m · x = 3 m
10. A spring with spring constant k = 40 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 40 N/m · x = 6 m
11. A spring with spring constant k = 7 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 7 N/m · x = 5 m
12. A spring with spring constant k = 13 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 13 N/m · x = 3 m

12 questions · Seed 104732 · 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 = 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.
2. A spring with spring constant k = 6 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
30 N
By Hooke’s law, F = k × x = 6 N/m × 5 m = 30 N.
3. A spring with spring constant k = 27 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
162 N
By Hooke’s law, F = k × x = 27 N/m × 6 m = 162 N.
4. A spring with spring constant k = 26 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
182 N
By Hooke’s law, F = k × x = 26 N/m × 7 m = 182 N.
5. A spring with spring constant k = 36 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
288 N
By Hooke’s law, F = k × x = 36 N/m × 8 m = 288 N.
6. A spring with spring constant k = 60 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
300 N
By Hooke’s law, F = k × x = 60 N/m × 5 m = 300 N.
7. A spring with spring constant k = 58 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
58 N
By Hooke’s law, F = k × x = 58 N/m × 1 m = 58 N.
8. A spring with spring constant k = 40 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
120 N
By Hooke’s law, F = k × x = 40 N/m × 3 m = 120 N.
9. A spring with spring constant k = 26 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
78 N
By Hooke’s law, F = k × x = 26 N/m × 3 m = 78 N.
10. A spring with spring constant k = 40 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
240 N
By Hooke’s law, F = k × x = 40 N/m × 6 m = 240 N.
11. A spring with spring constant k = 7 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
35 N
By Hooke’s law, F = k × x = 7 N/m × 5 m = 35 N.
12. A spring with spring constant k = 13 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
39 N
By Hooke’s law, F = k × x = 13 N/m × 3 m = 39 N.

12 questions · Seed 104732 · Age guidance, not curriculum certification