Energy Stored in Spring

Energy Stored in Spring

### Formula

$$U=\frac{1}{2}kx^2$$

### Force-Energy Relation

$$U=\int_0^x Fdx$$

### Terminologies

- U → Elastic potential energy.

- k → Spring constant.

- x → Displacement.

### Conditions / Special Cases

Energy is maximum at maximum extension:

$$x=A$$

### Usage

- Used in spring energy conservation problems.