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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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Important Questions from Work Power and Energy

  1. A boy raises a box with a weight of 120 N from a height of 2 m. The work done by him is ________.

  2. While releasing the arrow from a stretched bow, the Potential Energy of the bow is converted into?

  3. Which is the main source of almost all energy on Earth?

  4. Area under constant velocity – time curve equals ________ of the object over a given time interval.

  5. If a body of mass is m, linear momentum is p and kinetic energy is K, then which of the following expressions is true?

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