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.

New variation Try interactive challenge Browse templates

Age band:Ages 13-15 Ages 16-18

Choose “Save as PDF” to keep a copy. Use your browser’s paper setting for A4 or Letter.

Worksheet StudioPractice pack · Ages 16-18

Hooke’s law & spring extension

Take your time. Show your thinking.

1. A spring with spring constant k = 31 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 31 N/m · x = 1 m
2. A spring with spring constant k = 33 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 33 N/m · x = 4 m
3. A spring with spring constant k = 26 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 26 N/m · x = 8 m
4. A spring with spring constant k = 13 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 13 N/m · x = 1 m
5. A spring with spring constant k = 43 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 43 N/m · x = 7 m
6. A spring with spring constant k = 60 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 60 N/m · x = 2 m
7. A spring with spring constant k = 22 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 22 N/m · x = 1 m
8. A spring with spring constant k = 14 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 14 N/m · x = 5 m
9. 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
10. A spring with spring constant k = 14 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 14 N/m · x = 2 m
11. A spring with spring constant k = 51 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 51 N/m · x = 1 m
12. 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

12 questions · Seed 45 · 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 = 31 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
31 N
By Hooke’s law, F = k × x = 31 N/m × 1 m = 31 N.
2. A spring with spring constant k = 33 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
132 N
By Hooke’s law, F = k × x = 33 N/m × 4 m = 132 N.
3. A spring with spring constant k = 26 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
208 N
By Hooke’s law, F = k × x = 26 N/m × 8 m = 208 N.
4. A spring with spring constant k = 13 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
13 N
By Hooke’s law, F = k × x = 13 N/m × 1 m = 13 N.
5. A spring with spring constant k = 43 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
301 N
By Hooke’s law, F = k × x = 43 N/m × 7 m = 301 N.
6. A spring with spring constant k = 60 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
120 N
By Hooke’s law, F = k × x = 60 N/m × 2 m = 120 N.
7. A spring with spring constant k = 22 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
22 N
By Hooke’s law, F = k × x = 22 N/m × 1 m = 22 N.
8. A spring with spring constant k = 14 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
70 N
By Hooke’s law, F = k × x = 14 N/m × 5 m = 70 N.
9. 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.
10. A spring with spring constant k = 14 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
28 N
By Hooke’s law, F = k × x = 14 N/m × 2 m = 28 N.
11. A spring with spring constant k = 51 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
51 N
By Hooke’s law, F = k × x = 51 N/m × 1 m = 51 N.
12. 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.

12 questions · Seed 45 · 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 = 31 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 31 N/m · x = 1 m
2. A spring with spring constant k = 33 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 33 N/m · x = 4 m
3. A spring with spring constant k = 26 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 26 N/m · x = 8 m
4. A spring with spring constant k = 13 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 13 N/m · x = 1 m
5. A spring with spring constant k = 43 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 43 N/m · x = 7 m
6. A spring with spring constant k = 60 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 60 N/m · x = 2 m
7. A spring with spring constant k = 22 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 22 N/m · x = 1 m
8. A spring with spring constant k = 14 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 14 N/m · x = 5 m
9. 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
10. A spring with spring constant k = 14 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 14 N/m · x = 2 m
11. A spring with spring constant k = 51 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 51 N/m · x = 1 m
12. 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

12 questions · Seed 45 · 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 = 31 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
31 N
By Hooke’s law, F = k × x = 31 N/m × 1 m = 31 N.
2. A spring with spring constant k = 33 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
132 N
By Hooke’s law, F = k × x = 33 N/m × 4 m = 132 N.
3. A spring with spring constant k = 26 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
208 N
By Hooke’s law, F = k × x = 26 N/m × 8 m = 208 N.
4. A spring with spring constant k = 13 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
13 N
By Hooke’s law, F = k × x = 13 N/m × 1 m = 13 N.
5. A spring with spring constant k = 43 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
301 N
By Hooke’s law, F = k × x = 43 N/m × 7 m = 301 N.
6. A spring with spring constant k = 60 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
120 N
By Hooke’s law, F = k × x = 60 N/m × 2 m = 120 N.
7. A spring with spring constant k = 22 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
22 N
By Hooke’s law, F = k × x = 22 N/m × 1 m = 22 N.
8. A spring with spring constant k = 14 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
70 N
By Hooke’s law, F = k × x = 14 N/m × 5 m = 70 N.
9. 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.
10. A spring with spring constant k = 14 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
28 N
By Hooke’s law, F = k × x = 14 N/m × 2 m = 28 N.
11. A spring with spring constant k = 51 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
51 N
By Hooke’s law, F = k × x = 51 N/m × 1 m = 51 N.
12. 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.

12 questions · Seed 45 · Age guidance, not curriculum certification