A spring with spring constant k is compressed by x. The elastic potential energy stored is:
Ak x
B½ k x
Ck x²
D½ k x²
Answer & Solution
Correct answer: D. ½ k x²
1. Spring force F = k x (Hooke's law).
2. Work done to compress from 0 to x is ∫₀ˣ k x' dx' = ½ k x².
3. This is stored as elastic PE.
_Source: NCERT Class 11 Physics Ch 5, §5.8 PE of a Spring, p. 83_
Related questions
A crate dragged across a rough floor loses mechanical energy because friction is:Conservation of mechanical energy is the form the work-energy theorem takes when the forceCalculating work for a conservative force is easier than for a complicated path because itA force acting entirely perpendicular to an object's displacement does how much work?Mechanical energy transferred into or out of a system equals the work done by an external Winding up a toy or an old-fashioned watch stores energy by doing work against its:Which three energy examples are named together?The kinetic energy in the work-energy theorem is specifically the translational kinetic en