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 = 20 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 20 N/m · x = 6 m
2. A spring with spring constant k = 48 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 48 N/m · x = 8 m
3. A spring with spring constant k = 42 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 42 N/m · x = 5 m
4. A spring with spring constant k = 35 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 35 N/m · x = 4 m
5. A spring with spring constant k = 44 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 44 N/m · x = 6 m
6. A spring with spring constant k = 16 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 16 N/m · x = 7 m
7. A spring with spring constant k = 29 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 29 N/m · x = 8 m
8. A spring with spring constant k = 23 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 23 N/m · x = 5 m
9. A spring with spring constant k = 44 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 44 N/m · x = 7 m
10. A spring with spring constant k = 14 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 14 N/m · x = 1 m
11. A spring with spring constant k = 27 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 27 N/m · x = 7 m
12. A spring with spring constant k = 12 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 12 N/m · x = 8 m

12 questions · Seed 104731 · 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 = 20 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
120 N
By Hooke’s law, F = k × x = 20 N/m × 6 m = 120 N.
2. A spring with spring constant k = 48 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
384 N
By Hooke’s law, F = k × x = 48 N/m × 8 m = 384 N.
3. A spring with spring constant k = 42 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
210 N
By Hooke’s law, F = k × x = 42 N/m × 5 m = 210 N.
4. A spring with spring constant k = 35 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
140 N
By Hooke’s law, F = k × x = 35 N/m × 4 m = 140 N.
5. A spring with spring constant k = 44 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
264 N
By Hooke’s law, F = k × x = 44 N/m × 6 m = 264 N.
6. A spring with spring constant k = 16 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
112 N
By Hooke’s law, F = k × x = 16 N/m × 7 m = 112 N.
7. A spring with spring constant k = 29 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
232 N
By Hooke’s law, F = k × x = 29 N/m × 8 m = 232 N.
8. A spring with spring constant k = 23 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
115 N
By Hooke’s law, F = k × x = 23 N/m × 5 m = 115 N.
9. A spring with spring constant k = 44 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
308 N
By Hooke’s law, F = k × x = 44 N/m × 7 m = 308 N.
10. A spring with spring constant k = 14 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
14 N
By Hooke’s law, F = k × x = 14 N/m × 1 m = 14 N.
11. A spring with spring constant k = 27 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
189 N
By Hooke’s law, F = k × x = 27 N/m × 7 m = 189 N.
12. A spring with spring constant k = 12 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
96 N
By Hooke’s law, F = k × x = 12 N/m × 8 m = 96 N.

12 questions · Seed 104731 · 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 = 20 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 20 N/m · x = 6 m
2. A spring with spring constant k = 48 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 48 N/m · x = 8 m
3. A spring with spring constant k = 42 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 42 N/m · x = 5 m
4. A spring with spring constant k = 35 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 35 N/m · x = 4 m
5. A spring with spring constant k = 44 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 44 N/m · x = 6 m
6. A spring with spring constant k = 16 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 16 N/m · x = 7 m
7. A spring with spring constant k = 29 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 29 N/m · x = 8 m
8. A spring with spring constant k = 23 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 23 N/m · x = 5 m
9. A spring with spring constant k = 44 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 44 N/m · x = 7 m
10. A spring with spring constant k = 14 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 14 N/m · x = 1 m
11. A spring with spring constant k = 27 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
k = 27 N/m · x = 7 m
12. A spring with spring constant k = 12 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 12 N/m · x = 8 m

12 questions · Seed 104731 · 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 = 20 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
120 N
By Hooke’s law, F = k × x = 20 N/m × 6 m = 120 N.
2. A spring with spring constant k = 48 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
384 N
By Hooke’s law, F = k × x = 48 N/m × 8 m = 384 N.
3. A spring with spring constant k = 42 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
210 N
By Hooke’s law, F = k × x = 42 N/m × 5 m = 210 N.
4. A spring with spring constant k = 35 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
140 N
By Hooke’s law, F = k × x = 35 N/m × 4 m = 140 N.
5. A spring with spring constant k = 44 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
264 N
By Hooke’s law, F = k × x = 44 N/m × 6 m = 264 N.
6. A spring with spring constant k = 16 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
112 N
By Hooke’s law, F = k × x = 16 N/m × 7 m = 112 N.
7. A spring with spring constant k = 29 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
232 N
By Hooke’s law, F = k × x = 29 N/m × 8 m = 232 N.
8. A spring with spring constant k = 23 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
115 N
By Hooke’s law, F = k × x = 23 N/m × 5 m = 115 N.
9. A spring with spring constant k = 44 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
308 N
By Hooke’s law, F = k × x = 44 N/m × 7 m = 308 N.
10. A spring with spring constant k = 14 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
14 N
By Hooke’s law, F = k × x = 14 N/m × 1 m = 14 N.
11. A spring with spring constant k = 27 N/m is extended by x = 7 m. Use F = kx to calculate the restoring force magnitude.
189 N
By Hooke’s law, F = k × x = 27 N/m × 7 m = 189 N.
12. A spring with spring constant k = 12 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
96 N
By Hooke’s law, F = k × x = 12 N/m × 8 m = 96 N.

12 questions · Seed 104731 · Age guidance, not curriculum certification