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.

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 13-15

Hooke’s law & spring extension

Take your time. Show your thinking.

1. 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
2. A spring with spring constant k = 36 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 36 N/m · x = 4 m
3. A spring with spring constant k = 46 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 46 N/m · x = 3 m
4. A spring with spring constant k = 45 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 45 N/m · x = 6 m
5. A spring with spring constant k = 23 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 23 N/m · x = 8 m
6. 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
7. A spring with spring constant k = 23 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 23 N/m · x = 6 m
8. A spring with spring constant k = 46 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 46 N/m · x = 5 m
9. A spring with spring constant k = 39 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 39 N/m · x = 3 m
10. A spring with spring constant k = 52 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 52 N/m · x = 4 m
11. A spring with spring constant k = 53 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 53 N/m · x = 2 m
12. A spring with spring constant k = 18 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 18 N/m · x = 3 m

12 questions · Seed 47 · 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 = 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.
2. A spring with spring constant k = 36 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
144 N
By Hooke’s law, F = k × x = 36 N/m × 4 m = 144 N.
3. A spring with spring constant k = 46 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
138 N
By Hooke’s law, F = k × x = 46 N/m × 3 m = 138 N.
4. A spring with spring constant k = 45 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
270 N
By Hooke’s law, F = k × x = 45 N/m × 6 m = 270 N.
5. A spring with spring constant k = 23 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
184 N
By Hooke’s law, F = k × x = 23 N/m × 8 m = 184 N.
6. 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.
7. A spring with spring constant k = 23 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
138 N
By Hooke’s law, F = k × x = 23 N/m × 6 m = 138 N.
8. A spring with spring constant k = 46 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
230 N
By Hooke’s law, F = k × x = 46 N/m × 5 m = 230 N.
9. A spring with spring constant k = 39 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
117 N
By Hooke’s law, F = k × x = 39 N/m × 3 m = 117 N.
10. A spring with spring constant k = 52 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
208 N
By Hooke’s law, F = k × x = 52 N/m × 4 m = 208 N.
11. A spring with spring constant k = 53 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
106 N
By Hooke’s law, F = k × x = 53 N/m × 2 m = 106 N.
12. A spring with spring constant k = 18 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
54 N
By Hooke’s law, F = k × x = 18 N/m × 3 m = 54 N.

12 questions · Seed 47 · 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 = 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
2. A spring with spring constant k = 36 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 36 N/m · x = 4 m
3. A spring with spring constant k = 46 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 46 N/m · x = 3 m
4. A spring with spring constant k = 45 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 45 N/m · x = 6 m
5. A spring with spring constant k = 23 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 23 N/m · x = 8 m
6. 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
7. A spring with spring constant k = 23 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 23 N/m · x = 6 m
8. A spring with spring constant k = 46 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 46 N/m · x = 5 m
9. A spring with spring constant k = 39 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 39 N/m · x = 3 m
10. A spring with spring constant k = 52 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 52 N/m · x = 4 m
11. A spring with spring constant k = 53 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 53 N/m · x = 2 m
12. A spring with spring constant k = 18 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 18 N/m · x = 3 m

12 questions · Seed 47 · 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 = 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.
2. A spring with spring constant k = 36 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
144 N
By Hooke’s law, F = k × x = 36 N/m × 4 m = 144 N.
3. A spring with spring constant k = 46 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
138 N
By Hooke’s law, F = k × x = 46 N/m × 3 m = 138 N.
4. A spring with spring constant k = 45 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
270 N
By Hooke’s law, F = k × x = 45 N/m × 6 m = 270 N.
5. A spring with spring constant k = 23 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
184 N
By Hooke’s law, F = k × x = 23 N/m × 8 m = 184 N.
6. 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.
7. A spring with spring constant k = 23 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
138 N
By Hooke’s law, F = k × x = 23 N/m × 6 m = 138 N.
8. A spring with spring constant k = 46 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
230 N
By Hooke’s law, F = k × x = 46 N/m × 5 m = 230 N.
9. A spring with spring constant k = 39 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
117 N
By Hooke’s law, F = k × x = 39 N/m × 3 m = 117 N.
10. A spring with spring constant k = 52 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
208 N
By Hooke’s law, F = k × x = 52 N/m × 4 m = 208 N.
11. A spring with spring constant k = 53 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
106 N
By Hooke’s law, F = k × x = 53 N/m × 2 m = 106 N.
12. A spring with spring constant k = 18 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
54 N
By Hooke’s law, F = k × x = 18 N/m × 3 m = 54 N.

12 questions · Seed 47 · Age guidance, not curriculum certification