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 = 18 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 18 N/m · x = 6 m
2. A spring with spring constant k = 37 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 37 N/m · x = 3 m
3. A spring with spring constant k = 49 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 49 N/m · x = 6 m
4. A spring with spring constant k = 51 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 51 N/m · x = 3 m
5. 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
6. A spring with spring constant k = 39 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 39 N/m · x = 6 m
7. A spring with spring constant k = 12 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 12 N/m · x = 6 m
8. A spring with spring constant k = 9 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 9 N/m · x = 5 m
9. A spring with spring constant k = 55 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 55 N/m · x = 4 m
10. A spring with spring constant k = 45 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 45 N/m · x = 1 m
11. A spring with spring constant k = 60 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 60 N/m · x = 2 m
12. 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

12 questions · Seed 48 · 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 = 18 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
108 N
By Hooke’s law, F = k × x = 18 N/m × 6 m = 108 N.
2. A spring with spring constant k = 37 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
111 N
By Hooke’s law, F = k × x = 37 N/m × 3 m = 111 N.
3. A spring with spring constant k = 49 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
294 N
By Hooke’s law, F = k × x = 49 N/m × 6 m = 294 N.
4. A spring with spring constant k = 51 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
153 N
By Hooke’s law, F = k × x = 51 N/m × 3 m = 153 N.
5. 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.
6. A spring with spring constant k = 39 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
234 N
By Hooke’s law, F = k × x = 39 N/m × 6 m = 234 N.
7. A spring with spring constant k = 12 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
72 N
By Hooke’s law, F = k × x = 12 N/m × 6 m = 72 N.
8. A spring with spring constant k = 9 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
45 N
By Hooke’s law, F = k × x = 9 N/m × 5 m = 45 N.
9. A spring with spring constant k = 55 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
220 N
By Hooke’s law, F = k × x = 55 N/m × 4 m = 220 N.
10. A spring with spring constant k = 45 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
45 N
By Hooke’s law, F = k × x = 45 N/m × 1 m = 45 N.
11. A spring with spring constant k = 60 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
120 N
By Hooke’s law, F = k × x = 60 N/m × 2 m = 120 N.
12. 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.

12 questions · Seed 48 · 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 = 18 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 18 N/m · x = 6 m
2. A spring with spring constant k = 37 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 37 N/m · x = 3 m
3. A spring with spring constant k = 49 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 49 N/m · x = 6 m
4. A spring with spring constant k = 51 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 51 N/m · x = 3 m
5. 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
6. A spring with spring constant k = 39 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 39 N/m · x = 6 m
7. A spring with spring constant k = 12 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 12 N/m · x = 6 m
8. A spring with spring constant k = 9 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 9 N/m · x = 5 m
9. A spring with spring constant k = 55 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 55 N/m · x = 4 m
10. A spring with spring constant k = 45 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 45 N/m · x = 1 m
11. A spring with spring constant k = 60 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 60 N/m · x = 2 m
12. 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

12 questions · Seed 48 · 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 = 18 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
108 N
By Hooke’s law, F = k × x = 18 N/m × 6 m = 108 N.
2. A spring with spring constant k = 37 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
111 N
By Hooke’s law, F = k × x = 37 N/m × 3 m = 111 N.
3. A spring with spring constant k = 49 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
294 N
By Hooke’s law, F = k × x = 49 N/m × 6 m = 294 N.
4. A spring with spring constant k = 51 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
153 N
By Hooke’s law, F = k × x = 51 N/m × 3 m = 153 N.
5. 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.
6. A spring with spring constant k = 39 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
234 N
By Hooke’s law, F = k × x = 39 N/m × 6 m = 234 N.
7. A spring with spring constant k = 12 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
72 N
By Hooke’s law, F = k × x = 12 N/m × 6 m = 72 N.
8. A spring with spring constant k = 9 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
45 N
By Hooke’s law, F = k × x = 9 N/m × 5 m = 45 N.
9. A spring with spring constant k = 55 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
220 N
By Hooke’s law, F = k × x = 55 N/m × 4 m = 220 N.
10. A spring with spring constant k = 45 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
45 N
By Hooke’s law, F = k × x = 45 N/m × 1 m = 45 N.
11. A spring with spring constant k = 60 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
120 N
By Hooke’s law, F = k × x = 60 N/m × 2 m = 120 N.
12. 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.

12 questions · Seed 48 · Age guidance, not curriculum certification