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AQA GCSE · Question 07.7 · Forces
The force applied to the spring by the weight of the child is 336 N. The change in length of the spring is 0.21 m.
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Calculate the spring constant of the spring.
The force applied to the spring by the weight of the child is 336 N. The change in length of the spring is 0.21 m.
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Calculate the spring constant of the spring.
How to approach this question
1. Start with the equation F = ke.
2. Rearrange the equation to make the spring constant (k) the subject.
3. Identify the values for force (F) and extension (e) from the question. Note that "change in length" is the extension.
4. Substitute the values and calculate the result. Include the correct units.
Full Answer
F = ke
k = F / e
k = 336 / 0.21
k = 1600 N/m
From the previous question, the equation is F = ke.
We need to calculate the spring constant, k. So we must rearrange the equation:
k = F / e
The question gives the values:
Force (F) = 336 N
Extension (e) = 0.21 m
Substitute these values into the rearranged equation:
k = 336 / 0.21
k = 1600 N/m
The unit for the spring constant is Newtons per metre (N/m).
Common mistakes
✗ Failing to rearrange the equation correctly.\n✗ Dividing extension by force (e/F).\n✗ Forgetting the units (N/m).
Practice the full AQA GCSE Physics Foundation Tier Paper 2
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