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 = 23 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 23 N/m · x = 5 m
2. A spring with spring constant k = 24 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 24 N/m · x = 2 m
3. A spring with spring constant k = 8 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 8 N/m · x = 2 m
4. A spring with spring constant k = 17 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 17 N/m · x = 6 m
5. A spring with spring constant k = 43 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 43 N/m · x = 5 m
6. A spring with spring constant k = 25 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 25 N/m · x = 7 m
7. A spring with spring constant k = 17 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 17 N/m · x = 2 m
8. A spring with spring constant k = 60 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 60 N/m · x = 7 m
9. 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
10. 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
11. 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
12. A spring with spring constant k = 31 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 31 N/m · x = 4 m

12 questions · Seed 44 · 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 = 23 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
115 N
By Hooke’s law, F = k × x = 23 N/m × 5 m = 115 N.
2. A spring with spring constant k = 24 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
48 N
By Hooke’s law, F = k × x = 24 N/m × 2 m = 48 N.
3. A spring with spring constant k = 8 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
16 N
By Hooke’s law, F = k × x = 8 N/m × 2 m = 16 N.
4. A spring with spring constant k = 17 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
102 N
By Hooke’s law, F = k × x = 17 N/m × 6 m = 102 N.
5. A spring with spring constant k = 43 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
215 N
By Hooke’s law, F = k × x = 43 N/m × 5 m = 215 N.
6. A spring with spring constant k = 25 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
175 N
By Hooke’s law, F = k × x = 25 N/m × 7 m = 175 N.
7. A spring with spring constant k = 17 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
34 N
By Hooke’s law, F = k × x = 17 N/m × 2 m = 34 N.
8. A spring with spring constant k = 60 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
420 N
By Hooke’s law, F = k × x = 60 N/m × 7 m = 420 N.
9. 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.
10. 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.
11. 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.
12. A spring with spring constant k = 31 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
124 N
By Hooke’s law, F = k × x = 31 N/m × 4 m = 124 N.

12 questions · Seed 44 · 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 = 23 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 23 N/m · x = 5 m
2. A spring with spring constant k = 24 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 24 N/m · x = 2 m
3. A spring with spring constant k = 8 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 8 N/m · x = 2 m
4. A spring with spring constant k = 17 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 17 N/m · x = 6 m
5. A spring with spring constant k = 43 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 43 N/m · x = 5 m
6. A spring with spring constant k = 25 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 25 N/m · x = 7 m
7. A spring with spring constant k = 17 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 17 N/m · x = 2 m
8. A spring with spring constant k = 60 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 60 N/m · x = 7 m
9. 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
10. 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
11. 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
12. A spring with spring constant k = 31 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 31 N/m · x = 4 m

12 questions · Seed 44 · 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 = 23 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
115 N
By Hooke’s law, F = k × x = 23 N/m × 5 m = 115 N.
2. A spring with spring constant k = 24 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
48 N
By Hooke’s law, F = k × x = 24 N/m × 2 m = 48 N.
3. A spring with spring constant k = 8 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
16 N
By Hooke’s law, F = k × x = 8 N/m × 2 m = 16 N.
4. A spring with spring constant k = 17 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
102 N
By Hooke’s law, F = k × x = 17 N/m × 6 m = 102 N.
5. A spring with spring constant k = 43 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
215 N
By Hooke’s law, F = k × x = 43 N/m × 5 m = 215 N.
6. A spring with spring constant k = 25 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
175 N
By Hooke’s law, F = k × x = 25 N/m × 7 m = 175 N.
7. A spring with spring constant k = 17 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
34 N
By Hooke’s law, F = k × x = 17 N/m × 2 m = 34 N.
8. A spring with spring constant k = 60 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
420 N
By Hooke’s law, F = k × x = 60 N/m × 7 m = 420 N.
9. 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.
10. 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.
11. 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.
12. A spring with spring constant k = 31 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
124 N
By Hooke’s law, F = k × x = 31 N/m × 4 m = 124 N.

12 questions · Seed 44 · Age guidance, not curriculum certification