Question
The elastic potential energy stored in a spring of spring constant k when compressed by a distance x is:
This question was previously asked in
UPTET 2026 Paper 2 Social Studies Question Paper (3-Jul-2026) (Shift 1)
The correct answer is
1/2kx²
When a spring of spring constant \(k\) is compressed (or stretched) by a distance \(x\) from its natural length, the elastic potential energy stored in it is:
\(U = \dfrac{1}{2}kx^{2}\)
This follows from the work done against the spring force, which increases linearly with displacement, so the stored energy is proportional to the square of the compression with a factor of one-half.
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