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 = 36 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 36 N/m · x = 2 m
2. A spring with spring constant k = 59 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 59 N/m · x = 3 m
3. A spring with spring constant k = 37 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 37 N/m · x = 1 m
4. A spring with spring constant k = 38 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 38 N/m · x = 6 m
5. A spring with spring constant k = 49 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 49 N/m · x = 5 m
6. A spring with spring constant k = 16 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 16 N/m · x = 2 m
7. A spring with spring constant k = 60 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 60 N/m · x = 3 m
8. A spring with spring constant k = 8 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 8 N/m · x = 3 m
9. A spring with spring constant k = 9 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 9 N/m · x = 3 m
10. A spring with spring constant k = 6 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 6 N/m · x = 6 m
11. A spring with spring constant k = 21 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 21 N/m · x = 5 m
12. A spring with spring constant k = 47 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 47 N/m · x = 8 m

12 questions · Seed 104735 · 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 = 36 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
72 N
By Hooke’s law, F = k × x = 36 N/m × 2 m = 72 N.
2. A spring with spring constant k = 59 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
177 N
By Hooke’s law, F = k × x = 59 N/m × 3 m = 177 N.
3. A spring with spring constant k = 37 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
37 N
By Hooke’s law, F = k × x = 37 N/m × 1 m = 37 N.
4. A spring with spring constant k = 38 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
228 N
By Hooke’s law, F = k × x = 38 N/m × 6 m = 228 N.
5. A spring with spring constant k = 49 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
245 N
By Hooke’s law, F = k × x = 49 N/m × 5 m = 245 N.
6. A spring with spring constant k = 16 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
32 N
By Hooke’s law, F = k × x = 16 N/m × 2 m = 32 N.
7. A spring with spring constant k = 60 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
180 N
By Hooke’s law, F = k × x = 60 N/m × 3 m = 180 N.
8. A spring with spring constant k = 8 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
24 N
By Hooke’s law, F = k × x = 8 N/m × 3 m = 24 N.
9. A spring with spring constant k = 9 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
27 N
By Hooke’s law, F = k × x = 9 N/m × 3 m = 27 N.
10. A spring with spring constant k = 6 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
36 N
By Hooke’s law, F = k × x = 6 N/m × 6 m = 36 N.
11. A spring with spring constant k = 21 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
105 N
By Hooke’s law, F = k × x = 21 N/m × 5 m = 105 N.
12. A spring with spring constant k = 47 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
376 N
By Hooke’s law, F = k × x = 47 N/m × 8 m = 376 N.

12 questions · Seed 104735 · 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 = 36 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 36 N/m · x = 2 m
2. A spring with spring constant k = 59 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 59 N/m · x = 3 m
3. A spring with spring constant k = 37 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 37 N/m · x = 1 m
4. A spring with spring constant k = 38 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 38 N/m · x = 6 m
5. A spring with spring constant k = 49 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 49 N/m · x = 5 m
6. A spring with spring constant k = 16 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 16 N/m · x = 2 m
7. A spring with spring constant k = 60 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 60 N/m · x = 3 m
8. A spring with spring constant k = 8 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 8 N/m · x = 3 m
9. A spring with spring constant k = 9 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 9 N/m · x = 3 m
10. A spring with spring constant k = 6 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 6 N/m · x = 6 m
11. A spring with spring constant k = 21 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 21 N/m · x = 5 m
12. A spring with spring constant k = 47 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 47 N/m · x = 8 m

12 questions · Seed 104735 · 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 = 36 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
72 N
By Hooke’s law, F = k × x = 36 N/m × 2 m = 72 N.
2. A spring with spring constant k = 59 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
177 N
By Hooke’s law, F = k × x = 59 N/m × 3 m = 177 N.
3. A spring with spring constant k = 37 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
37 N
By Hooke’s law, F = k × x = 37 N/m × 1 m = 37 N.
4. A spring with spring constant k = 38 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
228 N
By Hooke’s law, F = k × x = 38 N/m × 6 m = 228 N.
5. A spring with spring constant k = 49 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
245 N
By Hooke’s law, F = k × x = 49 N/m × 5 m = 245 N.
6. A spring with spring constant k = 16 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
32 N
By Hooke’s law, F = k × x = 16 N/m × 2 m = 32 N.
7. A spring with spring constant k = 60 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
180 N
By Hooke’s law, F = k × x = 60 N/m × 3 m = 180 N.
8. A spring with spring constant k = 8 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
24 N
By Hooke’s law, F = k × x = 8 N/m × 3 m = 24 N.
9. A spring with spring constant k = 9 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
27 N
By Hooke’s law, F = k × x = 9 N/m × 3 m = 27 N.
10. A spring with spring constant k = 6 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
36 N
By Hooke’s law, F = k × x = 6 N/m × 6 m = 36 N.
11. A spring with spring constant k = 21 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
105 N
By Hooke’s law, F = k × x = 21 N/m × 5 m = 105 N.
12. A spring with spring constant k = 47 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
376 N
By Hooke’s law, F = k × x = 47 N/m × 8 m = 376 N.

12 questions · Seed 104735 · Age guidance, not curriculum certification