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 = 51 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 51 N/m · x = 3 m
2. A spring with spring constant k = 33 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 33 N/m · x = 3 m
3. A spring with spring constant k = 37 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 37 N/m · x = 6 m
4. A spring with spring constant k = 53 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 53 N/m · x = 5 m
5. A spring with spring constant k = 24 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 24 N/m · x = 8 m
6. A spring with spring constant k = 18 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 18 N/m · x = 6 m
7. A spring with spring constant k = 36 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 36 N/m · x = 6 m
8. 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
9. A spring with spring constant k = 33 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 33 N/m · x = 6 m
10. A spring with spring constant k = 50 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 50 N/m · x = 8 m
11. A spring with spring constant k = 45 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 45 N/m · x = 2 m
12. A spring with spring constant k = 47 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 47 N/m · x = 7 m

12 questions · Seed 42 · 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 = 51 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
153 N
By Hooke’s law, F = k × x = 51 N/m × 3 m = 153 N.
2. A spring with spring constant k = 33 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
99 N
By Hooke’s law, F = k × x = 33 N/m × 3 m = 99 N.
3. A spring with spring constant k = 37 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
222 N
By Hooke’s law, F = k × x = 37 N/m × 6 m = 222 N.
4. A spring with spring constant k = 53 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
265 N
By Hooke’s law, F = k × x = 53 N/m × 5 m = 265 N.
5. A spring with spring constant k = 24 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
192 N
By Hooke’s law, F = k × x = 24 N/m × 8 m = 192 N.
6. A spring with spring constant k = 18 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
108 N
By Hooke’s law, F = k × x = 18 N/m × 6 m = 108 N.
7. A spring with spring constant k = 36 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
216 N
By Hooke’s law, F = k × x = 36 N/m × 6 m = 216 N.
8. 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.
9. A spring with spring constant k = 33 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
198 N
By Hooke’s law, F = k × x = 33 N/m × 6 m = 198 N.
10. A spring with spring constant k = 50 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
400 N
By Hooke’s law, F = k × x = 50 N/m × 8 m = 400 N.
11. A spring with spring constant k = 45 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
90 N
By Hooke’s law, F = k × x = 45 N/m × 2 m = 90 N.
12. A spring with spring constant k = 47 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
329 N
By Hooke’s law, F = k × x = 47 N/m × 7 m = 329 N.

12 questions · Seed 42 · 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 = 51 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 51 N/m · x = 3 m
2. A spring with spring constant k = 33 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 33 N/m · x = 3 m
3. A spring with spring constant k = 37 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 37 N/m · x = 6 m
4. A spring with spring constant k = 53 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 53 N/m · x = 5 m
5. A spring with spring constant k = 24 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 24 N/m · x = 8 m
6. A spring with spring constant k = 18 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 18 N/m · x = 6 m
7. A spring with spring constant k = 36 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 36 N/m · x = 6 m
8. 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
9. A spring with spring constant k = 33 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 33 N/m · x = 6 m
10. A spring with spring constant k = 50 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 50 N/m · x = 8 m
11. A spring with spring constant k = 45 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 45 N/m · x = 2 m
12. A spring with spring constant k = 47 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 47 N/m · x = 7 m

12 questions · Seed 42 · 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 = 51 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
153 N
By Hooke’s law, F = k × x = 51 N/m × 3 m = 153 N.
2. A spring with spring constant k = 33 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
99 N
By Hooke’s law, F = k × x = 33 N/m × 3 m = 99 N.
3. A spring with spring constant k = 37 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
222 N
By Hooke’s law, F = k × x = 37 N/m × 6 m = 222 N.
4. A spring with spring constant k = 53 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
265 N
By Hooke’s law, F = k × x = 53 N/m × 5 m = 265 N.
5. A spring with spring constant k = 24 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
192 N
By Hooke’s law, F = k × x = 24 N/m × 8 m = 192 N.
6. A spring with spring constant k = 18 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
108 N
By Hooke’s law, F = k × x = 18 N/m × 6 m = 108 N.
7. A spring with spring constant k = 36 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
216 N
By Hooke’s law, F = k × x = 36 N/m × 6 m = 216 N.
8. 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.
9. A spring with spring constant k = 33 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
198 N
By Hooke’s law, F = k × x = 33 N/m × 6 m = 198 N.
10. A spring with spring constant k = 50 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
400 N
By Hooke’s law, F = k × x = 50 N/m × 8 m = 400 N.
11. A spring with spring constant k = 45 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
90 N
By Hooke’s law, F = k × x = 45 N/m × 2 m = 90 N.
12. A spring with spring constant k = 47 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
329 N
By Hooke’s law, F = k × x = 47 N/m × 7 m = 329 N.

12 questions · Seed 42 · Age guidance, not curriculum certification