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 = 38 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 38 N/m · x = 7 m
2. A spring with spring constant k = 21 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 21 N/m · x = 6 m
3. A spring with spring constant k = 24 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 24 N/m · x = 3 m
4. A spring with spring constant k = 28 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 28 N/m · x = 7 m
5. A spring with spring constant k = 5 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 5 N/m · x = 6 m
6. A spring with spring constant k = 29 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 29 N/m · x = 1 m
7. A spring with spring constant k = 16 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 16 N/m · x = 8 m
8. 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
9. A spring with spring constant k = 41 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 41 N/m · x = 6 m
10. A spring with spring constant k = 60 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 60 N/m · x = 6 m
11. 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. 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

12 questions · Seed 104734 · 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 = 38 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
266 N
By Hooke’s law, F = k × x = 38 N/m × 7 m = 266 N.
2. A spring with spring constant k = 21 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
126 N
By Hooke’s law, F = k × x = 21 N/m × 6 m = 126 N.
3. A spring with spring constant k = 24 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
72 N
By Hooke’s law, F = k × x = 24 N/m × 3 m = 72 N.
4. A spring with spring constant k = 28 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
196 N
By Hooke’s law, F = k × x = 28 N/m × 7 m = 196 N.
5. A spring with spring constant k = 5 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
30 N
By Hooke’s law, F = k × x = 5 N/m × 6 m = 30 N.
6. A spring with spring constant k = 29 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
29 N
By Hooke’s law, F = k × x = 29 N/m × 1 m = 29 N.
7. A spring with spring constant k = 16 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
128 N
By Hooke’s law, F = k × x = 16 N/m × 8 m = 128 N.
8. 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.
9. A spring with spring constant k = 41 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
246 N
By Hooke’s law, F = k × x = 41 N/m × 6 m = 246 N.
10. A spring with spring constant k = 60 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
360 N
By Hooke’s law, F = k × x = 60 N/m × 6 m = 360 N.
11. 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. 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.

12 questions · Seed 104734 · 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 = 38 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 38 N/m · x = 7 m
2. A spring with spring constant k = 21 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 21 N/m · x = 6 m
3. A spring with spring constant k = 24 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 24 N/m · x = 3 m
4. A spring with spring constant k = 28 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 28 N/m · x = 7 m
5. A spring with spring constant k = 5 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 5 N/m · x = 6 m
6. A spring with spring constant k = 29 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 29 N/m · x = 1 m
7. A spring with spring constant k = 16 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 16 N/m · x = 8 m
8. 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
9. A spring with spring constant k = 41 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 41 N/m · x = 6 m
10. A spring with spring constant k = 60 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 60 N/m · x = 6 m
11. 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. 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

12 questions · Seed 104734 · 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 = 38 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
266 N
By Hooke’s law, F = k × x = 38 N/m × 7 m = 266 N.
2. A spring with spring constant k = 21 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
126 N
By Hooke’s law, F = k × x = 21 N/m × 6 m = 126 N.
3. A spring with spring constant k = 24 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
72 N
By Hooke’s law, F = k × x = 24 N/m × 3 m = 72 N.
4. A spring with spring constant k = 28 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
196 N
By Hooke’s law, F = k × x = 28 N/m × 7 m = 196 N.
5. A spring with spring constant k = 5 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
30 N
By Hooke’s law, F = k × x = 5 N/m × 6 m = 30 N.
6. A spring with spring constant k = 29 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
29 N
By Hooke’s law, F = k × x = 29 N/m × 1 m = 29 N.
7. A spring with spring constant k = 16 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
128 N
By Hooke’s law, F = k × x = 16 N/m × 8 m = 128 N.
8. 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.
9. A spring with spring constant k = 41 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
246 N
By Hooke’s law, F = k × x = 41 N/m × 6 m = 246 N.
10. A spring with spring constant k = 60 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
360 N
By Hooke’s law, F = k × x = 60 N/m × 6 m = 360 N.
11. 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. 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.

12 questions · Seed 104734 · Age guidance, not curriculum certification