Engineering & Physics CalcyZone Calculator
Hooke's Law Calculator
Calculate spring force and stored elastic energy from spring constant and extension.
Spring force
10 N
Stored energy
0.25 J
Step-by-step working
- F = k x = 200 N/m × 0.05 m = 10 N
- E = ½ k x² = 0.25 J
Mathematical Formula
F = k x; elastic energy E = ½ k x².
Overview & Explanation
Within the elastic limit, a spring’s restoring force is proportional to its extension.
How It Works
- Multiply k by extension.
- Energy = ½kx².
Practical Applications
- Spring selection.
- Physics labs.
Example 1: k = 200 N/m, x = 5 cm
10 N.
1
Inputs
Spring constant k (N/m): 200 · Extension x (m): 0.05
= entered
2
Step 1
F = k x = 200 N/m × 0.05 m = 10 N
3
Step 2
E = ½ k x² = 0.25 J
4
Spring force
Result
= 10 N
Example 2: car suspension k = 30 kN/m, 4 cm
Stiff spring.
1
Inputs
Spring constant k (N/m): 30000 · Extension x (m): 0.04
= entered
2
Step 1
F = k x = 30000 N/m × 0.04 m = 1200 N
3
Step 2
E = ½ k x² = 24 J
4
Spring force
Result
= 1200 N
How it's calculated & sources
F = k x; elastic energy E = ½ k x².
Frequently Asked Questions
Is the sign negative?
The restoring force is −kx (opposite to displacement); magnitude shown.
Limits?
Only valid below the elastic limit.
Units of k?
N/m.
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