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 = 48 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 48 N/m · x = 5 m
2. A spring with spring constant k = 56 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 56 N/m · x = 1 m
3. A spring with spring constant k = 15 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 15 N/m · x = 1 m
4. A spring with spring constant k = 15 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 15 N/m · x = 3 m
5. A spring with spring constant k = 25 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 25 N/m · x = 1 m
6. A spring with spring constant k = 10 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 10 N/m · x = 6 m
7. A spring with spring constant k = 48 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 48 N/m · x = 3 m
8. A spring with spring constant k = 25 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 25 N/m · x = 3 m
9. A spring with spring constant k = 14 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 14 N/m · x = 8 m
10. A spring with spring constant k = 39 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 39 N/m · x = 7 m
11. A spring with spring constant k = 59 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 59 N/m · x = 1 m
12. A spring with spring constant k = 27 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 27 N/m · x = 3 m

12 questions · Seed 104729 · 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 = 48 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
240 N
By Hooke’s law, F = k × x = 48 N/m × 5 m = 240 N.
2. A spring with spring constant k = 56 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
56 N
By Hooke’s law, F = k × x = 56 N/m × 1 m = 56 N.
3. A spring with spring constant k = 15 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
15 N
By Hooke’s law, F = k × x = 15 N/m × 1 m = 15 N.
4. A spring with spring constant k = 15 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
45 N
By Hooke’s law, F = k × x = 15 N/m × 3 m = 45 N.
5. A spring with spring constant k = 25 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
25 N
By Hooke’s law, F = k × x = 25 N/m × 1 m = 25 N.
6. A spring with spring constant k = 10 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
60 N
By Hooke’s law, F = k × x = 10 N/m × 6 m = 60 N.
7. A spring with spring constant k = 48 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
144 N
By Hooke’s law, F = k × x = 48 N/m × 3 m = 144 N.
8. A spring with spring constant k = 25 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
75 N
By Hooke’s law, F = k × x = 25 N/m × 3 m = 75 N.
9. A spring with spring constant k = 14 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
112 N
By Hooke’s law, F = k × x = 14 N/m × 8 m = 112 N.
10. A spring with spring constant k = 39 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
273 N
By Hooke’s law, F = k × x = 39 N/m × 7 m = 273 N.
11. A spring with spring constant k = 59 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
59 N
By Hooke’s law, F = k × x = 59 N/m × 1 m = 59 N.
12. A spring with spring constant k = 27 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
81 N
By Hooke’s law, F = k × x = 27 N/m × 3 m = 81 N.

12 questions · Seed 104729 · 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 = 48 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 48 N/m · x = 5 m
2. A spring with spring constant k = 56 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 56 N/m · x = 1 m
3. A spring with spring constant k = 15 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 15 N/m · x = 1 m
4. A spring with spring constant k = 15 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 15 N/m · x = 3 m
5. A spring with spring constant k = 25 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 25 N/m · x = 1 m
6. A spring with spring constant k = 10 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 10 N/m · x = 6 m
7. A spring with spring constant k = 48 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 48 N/m · x = 3 m
8. A spring with spring constant k = 25 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 25 N/m · x = 3 m
9. A spring with spring constant k = 14 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 14 N/m · x = 8 m
10. A spring with spring constant k = 39 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 39 N/m · x = 7 m
11. A spring with spring constant k = 59 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 59 N/m · x = 1 m
12. A spring with spring constant k = 27 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 27 N/m · x = 3 m

12 questions · Seed 104729 · 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 = 48 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
240 N
By Hooke’s law, F = k × x = 48 N/m × 5 m = 240 N.
2. A spring with spring constant k = 56 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
56 N
By Hooke’s law, F = k × x = 56 N/m × 1 m = 56 N.
3. A spring with spring constant k = 15 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
15 N
By Hooke’s law, F = k × x = 15 N/m × 1 m = 15 N.
4. A spring with spring constant k = 15 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
45 N
By Hooke’s law, F = k × x = 15 N/m × 3 m = 45 N.
5. A spring with spring constant k = 25 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
25 N
By Hooke’s law, F = k × x = 25 N/m × 1 m = 25 N.
6. A spring with spring constant k = 10 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
60 N
By Hooke’s law, F = k × x = 10 N/m × 6 m = 60 N.
7. A spring with spring constant k = 48 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
144 N
By Hooke’s law, F = k × x = 48 N/m × 3 m = 144 N.
8. A spring with spring constant k = 25 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
75 N
By Hooke’s law, F = k × x = 25 N/m × 3 m = 75 N.
9. A spring with spring constant k = 14 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
112 N
By Hooke’s law, F = k × x = 14 N/m × 8 m = 112 N.
10. A spring with spring constant k = 39 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
273 N
By Hooke’s law, F = k × x = 39 N/m × 7 m = 273 N.
11. A spring with spring constant k = 59 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
59 N
By Hooke’s law, F = k × x = 59 N/m × 1 m = 59 N.
12. A spring with spring constant k = 27 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
81 N
By Hooke’s law, F = k × x = 27 N/m × 3 m = 81 N.

12 questions · Seed 104729 · Age guidance, not curriculum certification