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 = 43 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 43 N/m · x = 2 m
2. A spring with spring constant k = 31 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 31 N/m · x = 8 m
3. A spring with spring constant k = 50 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 50 N/m · x = 3 m
4. A spring with spring constant k = 15 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 15 N/m · x = 2 m
5. 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
6. A spring with spring constant k = 23 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 23 N/m · x = 6 m
7. A spring with spring constant k = 35 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 35 N/m · x = 6 m
8. A spring with spring constant k = 16 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 16 N/m · x = 4 m
9. A spring with spring constant k = 25 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 25 N/m · x = 4 m
10. A spring with spring constant k = 22 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 22 N/m · x = 6 m
11. A spring with spring constant k = 11 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 11 N/m · x = 8 m
12. A spring with spring constant k = 44 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 44 N/m · x = 7 m

12 questions · Seed 46 · 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 = 43 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
86 N
By Hooke’s law, F = k × x = 43 N/m × 2 m = 86 N.
2. A spring with spring constant k = 31 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
248 N
By Hooke’s law, F = k × x = 31 N/m × 8 m = 248 N.
3. A spring with spring constant k = 50 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
150 N
By Hooke’s law, F = k × x = 50 N/m × 3 m = 150 N.
4. A spring with spring constant k = 15 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
30 N
By Hooke’s law, F = k × x = 15 N/m × 2 m = 30 N.
5. 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.
6. A spring with spring constant k = 23 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
138 N
By Hooke’s law, F = k × x = 23 N/m × 6 m = 138 N.
7. A spring with spring constant k = 35 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
210 N
By Hooke’s law, F = k × x = 35 N/m × 6 m = 210 N.
8. A spring with spring constant k = 16 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
64 N
By Hooke’s law, F = k × x = 16 N/m × 4 m = 64 N.
9. A spring with spring constant k = 25 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
100 N
By Hooke’s law, F = k × x = 25 N/m × 4 m = 100 N.
10. A spring with spring constant k = 22 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
132 N
By Hooke’s law, F = k × x = 22 N/m × 6 m = 132 N.
11. A spring with spring constant k = 11 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
88 N
By Hooke’s law, F = k × x = 11 N/m × 8 m = 88 N.
12. A spring with spring constant k = 44 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
308 N
By Hooke’s law, F = k × x = 44 N/m × 7 m = 308 N.

12 questions · Seed 46 · 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 = 43 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 43 N/m · x = 2 m
2. A spring with spring constant k = 31 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 31 N/m · x = 8 m
3. A spring with spring constant k = 50 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 50 N/m · x = 3 m
4. A spring with spring constant k = 15 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 15 N/m · x = 2 m
5. 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
6. A spring with spring constant k = 23 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 23 N/m · x = 6 m
7. A spring with spring constant k = 35 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 35 N/m · x = 6 m
8. A spring with spring constant k = 16 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 16 N/m · x = 4 m
9. A spring with spring constant k = 25 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 25 N/m · x = 4 m
10. A spring with spring constant k = 22 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 22 N/m · x = 6 m
11. A spring with spring constant k = 11 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 11 N/m · x = 8 m
12. A spring with spring constant k = 44 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 44 N/m · x = 7 m

12 questions · Seed 46 · 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 = 43 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
86 N
By Hooke’s law, F = k × x = 43 N/m × 2 m = 86 N.
2. A spring with spring constant k = 31 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
248 N
By Hooke’s law, F = k × x = 31 N/m × 8 m = 248 N.
3. A spring with spring constant k = 50 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
150 N
By Hooke’s law, F = k × x = 50 N/m × 3 m = 150 N.
4. A spring with spring constant k = 15 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
30 N
By Hooke’s law, F = k × x = 15 N/m × 2 m = 30 N.
5. 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.
6. A spring with spring constant k = 23 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
138 N
By Hooke’s law, F = k × x = 23 N/m × 6 m = 138 N.
7. A spring with spring constant k = 35 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
210 N
By Hooke’s law, F = k × x = 35 N/m × 6 m = 210 N.
8. A spring with spring constant k = 16 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
64 N
By Hooke’s law, F = k × x = 16 N/m × 4 m = 64 N.
9. A spring with spring constant k = 25 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
100 N
By Hooke’s law, F = k × x = 25 N/m × 4 m = 100 N.
10. A spring with spring constant k = 22 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
132 N
By Hooke’s law, F = k × x = 22 N/m × 6 m = 132 N.
11. A spring with spring constant k = 11 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
88 N
By Hooke’s law, F = k × x = 11 N/m × 8 m = 88 N.
12. A spring with spring constant k = 44 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
308 N
By Hooke’s law, F = k × x = 44 N/m × 7 m = 308 N.

12 questions · Seed 46 · Age guidance, not curriculum certification