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 = 39 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 39 N/m · x = 4 m
2. A spring with spring constant k = 56 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 56 N/m · x = 2 m
3. A spring with spring constant k = 28 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 28 N/m · x = 4 m
4. A spring with spring constant k = 46 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 46 N/m · x = 6 m
5. A spring with spring constant k = 50 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 50 N/m · x = 6 m
6. A spring with spring constant k = 44 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 44 N/m · x = 5 m
7. A spring with spring constant k = 25 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 25 N/m · x = 1 m
8. A spring with spring constant k = 47 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 47 N/m · x = 2 m
9. 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
10. A spring with spring constant k = 17 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 17 N/m · x = 3 m
11. A spring with spring constant k = 14 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 14 N/m · x = 3 m
12. A spring with spring constant k = 41 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 41 N/m · x = 5 m

12 questions · Seed 104730 · 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 = 39 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
156 N
By Hooke’s law, F = k × x = 39 N/m × 4 m = 156 N.
2. A spring with spring constant k = 56 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
112 N
By Hooke’s law, F = k × x = 56 N/m × 2 m = 112 N.
3. A spring with spring constant k = 28 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
112 N
By Hooke’s law, F = k × x = 28 N/m × 4 m = 112 N.
4. A spring with spring constant k = 46 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
276 N
By Hooke’s law, F = k × x = 46 N/m × 6 m = 276 N.
5. A spring with spring constant k = 50 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
300 N
By Hooke’s law, F = k × x = 50 N/m × 6 m = 300 N.
6. A spring with spring constant k = 44 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
220 N
By Hooke’s law, F = k × x = 44 N/m × 5 m = 220 N.
7. A spring with spring constant k = 25 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
25 N
By Hooke’s law, F = k × x = 25 N/m × 1 m = 25 N.
8. A spring with spring constant k = 47 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
94 N
By Hooke’s law, F = k × x = 47 N/m × 2 m = 94 N.
9. 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.
10. A spring with spring constant k = 17 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
51 N
By Hooke’s law, F = k × x = 17 N/m × 3 m = 51 N.
11. A spring with spring constant k = 14 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
42 N
By Hooke’s law, F = k × x = 14 N/m × 3 m = 42 N.
12. A spring with spring constant k = 41 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
205 N
By Hooke’s law, F = k × x = 41 N/m × 5 m = 205 N.

12 questions · Seed 104730 · 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 = 39 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 39 N/m · x = 4 m
2. A spring with spring constant k = 56 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 56 N/m · x = 2 m
3. A spring with spring constant k = 28 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 28 N/m · x = 4 m
4. A spring with spring constant k = 46 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 46 N/m · x = 6 m
5. A spring with spring constant k = 50 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 50 N/m · x = 6 m
6. A spring with spring constant k = 44 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 44 N/m · x = 5 m
7. A spring with spring constant k = 25 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 25 N/m · x = 1 m
8. A spring with spring constant k = 47 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 47 N/m · x = 2 m
9. 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
10. A spring with spring constant k = 17 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 17 N/m · x = 3 m
11. A spring with spring constant k = 14 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 14 N/m · x = 3 m
12. A spring with spring constant k = 41 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 41 N/m · x = 5 m

12 questions · Seed 104730 · 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 = 39 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
156 N
By Hooke’s law, F = k × x = 39 N/m × 4 m = 156 N.
2. A spring with spring constant k = 56 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
112 N
By Hooke’s law, F = k × x = 56 N/m × 2 m = 112 N.
3. A spring with spring constant k = 28 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
112 N
By Hooke’s law, F = k × x = 28 N/m × 4 m = 112 N.
4. A spring with spring constant k = 46 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
276 N
By Hooke’s law, F = k × x = 46 N/m × 6 m = 276 N.
5. A spring with spring constant k = 50 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
300 N
By Hooke’s law, F = k × x = 50 N/m × 6 m = 300 N.
6. A spring with spring constant k = 44 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
220 N
By Hooke’s law, F = k × x = 44 N/m × 5 m = 220 N.
7. A spring with spring constant k = 25 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
25 N
By Hooke’s law, F = k × x = 25 N/m × 1 m = 25 N.
8. A spring with spring constant k = 47 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
94 N
By Hooke’s law, F = k × x = 47 N/m × 2 m = 94 N.
9. 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.
10. A spring with spring constant k = 17 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
51 N
By Hooke’s law, F = k × x = 17 N/m × 3 m = 51 N.
11. A spring with spring constant k = 14 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
42 N
By Hooke’s law, F = k × x = 14 N/m × 3 m = 42 N.
12. A spring with spring constant k = 41 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
205 N
By Hooke’s law, F = k × x = 41 N/m × 5 m = 205 N.

12 questions · Seed 104730 · Age guidance, not curriculum certification