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.

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Age band:Ages 13-15 Ages 16-18

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Worksheet StudioPractice pack · Ages 13-15

Hooke’s law & spring extension

Take your time. Show your thinking.

1. A spring with spring constant k = 28 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 28 N/m · x = 4 m
2. A spring with spring constant k = 16 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 16 N/m · x = 5 m
3. A spring with spring constant k = 39 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 39 N/m · x = 4 m
4. A spring with spring constant k = 37 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 37 N/m · x = 7 m
5. A spring with spring constant k = 43 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 43 N/m · x = 4 m
6. A spring with spring constant k = 20 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 20 N/m · x = 3 m
7. A spring with spring constant k = 44 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 44 N/m · x = 1 m
8. A spring with spring constant k = 19 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 19 N/m · x = 6 m
9. A spring with spring constant k = 29 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 29 N/m · x = 6 m
10. A spring with spring constant k = 23 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 23 N/m · x = 1 m
11. A spring with spring constant k = 49 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 49 N/m · x = 8 m
12. A spring with spring constant k = 32 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 32 N/m · x = 2 m

12 questions · Seed 43 · 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. A spring with spring constant k = 28 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
112 N
By Hooke’s law, F = k × x = 28 N/m × 4 m = 112 N.
2. A spring with spring constant k = 16 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
80 N
By Hooke’s law, F = k × x = 16 N/m × 5 m = 80 N.
3. A spring with spring constant k = 39 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
156 N
By Hooke’s law, F = k × x = 39 N/m × 4 m = 156 N.
4. A spring with spring constant k = 37 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
259 N
By Hooke’s law, F = k × x = 37 N/m × 7 m = 259 N.
5. A spring with spring constant k = 43 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
172 N
By Hooke’s law, F = k × x = 43 N/m × 4 m = 172 N.
6. A spring with spring constant k = 20 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
60 N
By Hooke’s law, F = k × x = 20 N/m × 3 m = 60 N.
7. A spring with spring constant k = 44 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
44 N
By Hooke’s law, F = k × x = 44 N/m × 1 m = 44 N.
8. A spring with spring constant k = 19 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
114 N
By Hooke’s law, F = k × x = 19 N/m × 6 m = 114 N.
9. A spring with spring constant k = 29 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
174 N
By Hooke’s law, F = k × x = 29 N/m × 6 m = 174 N.
10. A spring with spring constant k = 23 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
23 N
By Hooke’s law, F = k × x = 23 N/m × 1 m = 23 N.
11. A spring with spring constant k = 49 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
392 N
By Hooke’s law, F = k × x = 49 N/m × 8 m = 392 N.
12. A spring with spring constant k = 32 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
64 N
By Hooke’s law, F = k × x = 32 N/m × 2 m = 64 N.

12 questions · Seed 43 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 13-15

Hooke’s law & spring extension

Take your time. Show your thinking.

1. A spring with spring constant k = 28 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 28 N/m · x = 4 m
2. A spring with spring constant k = 16 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 16 N/m · x = 5 m
3. A spring with spring constant k = 39 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 39 N/m · x = 4 m
4. A spring with spring constant k = 37 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 37 N/m · x = 7 m
5. A spring with spring constant k = 43 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 43 N/m · x = 4 m
6. A spring with spring constant k = 20 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 20 N/m · x = 3 m
7. A spring with spring constant k = 44 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 44 N/m · x = 1 m
8. A spring with spring constant k = 19 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 19 N/m · x = 6 m
9. A spring with spring constant k = 29 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 29 N/m · x = 6 m
10. A spring with spring constant k = 23 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 23 N/m · x = 1 m
11. A spring with spring constant k = 49 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 49 N/m · x = 8 m
12. A spring with spring constant k = 32 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 32 N/m · x = 2 m

12 questions · Seed 43 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 13-15

Hooke’s law & spring extension

Answers and reasoning. Review before teaching.

1. A spring with spring constant k = 28 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
112 N
By Hooke’s law, F = k × x = 28 N/m × 4 m = 112 N.
2. A spring with spring constant k = 16 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
80 N
By Hooke’s law, F = k × x = 16 N/m × 5 m = 80 N.
3. A spring with spring constant k = 39 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
156 N
By Hooke’s law, F = k × x = 39 N/m × 4 m = 156 N.
4. A spring with spring constant k = 37 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
259 N
By Hooke’s law, F = k × x = 37 N/m × 7 m = 259 N.
5. A spring with spring constant k = 43 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
172 N
By Hooke’s law, F = k × x = 43 N/m × 4 m = 172 N.
6. A spring with spring constant k = 20 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
60 N
By Hooke’s law, F = k × x = 20 N/m × 3 m = 60 N.
7. A spring with spring constant k = 44 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
44 N
By Hooke’s law, F = k × x = 44 N/m × 1 m = 44 N.
8. A spring with spring constant k = 19 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
114 N
By Hooke’s law, F = k × x = 19 N/m × 6 m = 114 N.
9. A spring with spring constant k = 29 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
174 N
By Hooke’s law, F = k × x = 29 N/m × 6 m = 174 N.
10. A spring with spring constant k = 23 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
23 N
By Hooke’s law, F = k × x = 23 N/m × 1 m = 23 N.
11. A spring with spring constant k = 49 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
392 N
By Hooke’s law, F = k × x = 49 N/m × 8 m = 392 N.
12. A spring with spring constant k = 32 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
64 N
By Hooke’s law, F = k × x = 32 N/m × 2 m = 64 N.

12 questions · Seed 43 · Age guidance, not curriculum certification