Conservation of Mechanical Energy

Conservation of Mechanical Energy

### Formula

$$K_i+U_i=K_f+U_f$$

### Terminologies

- Ki → Initial kinetic energy.

- Ui → Initial potential energy.

- Kf → Final kinetic energy.

- Uf → Final potential energy.

### Conditions / Special Cases

Applicable when:

$$W_{non-conservative}=0$$

For gravitational motion:

$$\frac{1}{2}mv^2+mgh=constant$$

### Usage

- Used in falling body and projectile problems.