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 = 21 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 21 N/m · x = 3 m
2. A spring with spring constant k = 54 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 54 N/m · x = 2 m
3. A spring with spring constant k = 35 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 35 N/m · x = 2 m
4. A spring with spring constant k = 26 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 26 N/m · x = 5 m
5. A spring with spring constant k = 23 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 23 N/m · x = 3 m
6. 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
7. A spring with spring constant k = 47 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 47 N/m · x = 6 m
8. A spring with spring constant k = 60 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 60 N/m · x = 4 m
9. A spring with spring constant k = 42 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 42 N/m · x = 8 m
10. A spring with spring constant k = 6 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 6 N/m · x = 3 m
11. A spring with spring constant k = 20 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 20 N/m · x = 1 m
12. A spring with spring constant k = 48 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 48 N/m · x = 1 m

12 questions · Seed 50 · 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 = 21 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
63 N
By Hooke’s law, F = k × x = 21 N/m × 3 m = 63 N.
2. A spring with spring constant k = 54 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
108 N
By Hooke’s law, F = k × x = 54 N/m × 2 m = 108 N.
3. A spring with spring constant k = 35 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
70 N
By Hooke’s law, F = k × x = 35 N/m × 2 m = 70 N.
4. A spring with spring constant k = 26 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
130 N
By Hooke’s law, F = k × x = 26 N/m × 5 m = 130 N.
5. A spring with spring constant k = 23 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
69 N
By Hooke’s law, F = k × x = 23 N/m × 3 m = 69 N.
6. 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.
7. A spring with spring constant k = 47 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
282 N
By Hooke’s law, F = k × x = 47 N/m × 6 m = 282 N.
8. A spring with spring constant k = 60 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
240 N
By Hooke’s law, F = k × x = 60 N/m × 4 m = 240 N.
9. A spring with spring constant k = 42 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
336 N
By Hooke’s law, F = k × x = 42 N/m × 8 m = 336 N.
10. A spring with spring constant k = 6 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
18 N
By Hooke’s law, F = k × x = 6 N/m × 3 m = 18 N.
11. A spring with spring constant k = 20 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
20 N
By Hooke’s law, F = k × x = 20 N/m × 1 m = 20 N.
12. A spring with spring constant k = 48 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
48 N
By Hooke’s law, F = k × x = 48 N/m × 1 m = 48 N.

12 questions · Seed 50 · 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 = 21 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 21 N/m · x = 3 m
2. A spring with spring constant k = 54 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 54 N/m · x = 2 m
3. A spring with spring constant k = 35 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
k = 35 N/m · x = 2 m
4. A spring with spring constant k = 26 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
k = 26 N/m · x = 5 m
5. A spring with spring constant k = 23 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 23 N/m · x = 3 m
6. 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
7. A spring with spring constant k = 47 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
k = 47 N/m · x = 6 m
8. A spring with spring constant k = 60 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
k = 60 N/m · x = 4 m
9. A spring with spring constant k = 42 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
k = 42 N/m · x = 8 m
10. A spring with spring constant k = 6 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
k = 6 N/m · x = 3 m
11. A spring with spring constant k = 20 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 20 N/m · x = 1 m
12. A spring with spring constant k = 48 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
k = 48 N/m · x = 1 m

12 questions · Seed 50 · 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 = 21 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
63 N
By Hooke’s law, F = k × x = 21 N/m × 3 m = 63 N.
2. A spring with spring constant k = 54 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
108 N
By Hooke’s law, F = k × x = 54 N/m × 2 m = 108 N.
3. A spring with spring constant k = 35 N/m is extended by x = 2 m. Use F = kx to calculate the restoring force magnitude.
70 N
By Hooke’s law, F = k × x = 35 N/m × 2 m = 70 N.
4. A spring with spring constant k = 26 N/m is extended by x = 5 m. Use F = kx to calculate the restoring force magnitude.
130 N
By Hooke’s law, F = k × x = 26 N/m × 5 m = 130 N.
5. A spring with spring constant k = 23 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
69 N
By Hooke’s law, F = k × x = 23 N/m × 3 m = 69 N.
6. 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.
7. A spring with spring constant k = 47 N/m is extended by x = 6 m. Use F = kx to calculate the restoring force magnitude.
282 N
By Hooke’s law, F = k × x = 47 N/m × 6 m = 282 N.
8. A spring with spring constant k = 60 N/m is extended by x = 4 m. Use F = kx to calculate the restoring force magnitude.
240 N
By Hooke’s law, F = k × x = 60 N/m × 4 m = 240 N.
9. A spring with spring constant k = 42 N/m is extended by x = 8 m. Use F = kx to calculate the restoring force magnitude.
336 N
By Hooke’s law, F = k × x = 42 N/m × 8 m = 336 N.
10. A spring with spring constant k = 6 N/m is extended by x = 3 m. Use F = kx to calculate the restoring force magnitude.
18 N
By Hooke’s law, F = k × x = 6 N/m × 3 m = 18 N.
11. A spring with spring constant k = 20 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
20 N
By Hooke’s law, F = k × x = 20 N/m × 1 m = 20 N.
12. A spring with spring constant k = 48 N/m is extended by x = 1 m. Use F = kx to calculate the restoring force magnitude.
48 N
By Hooke’s law, F = k × x = 48 N/m × 1 m = 48 N.

12 questions · Seed 50 · Age guidance, not curriculum certification