Work Done by a Constant Force

Work Done by a Constant Force

### Formula

$$W=\vec{F}\cdot\vec{s}$$

### Expanded Form

$$W=Fs\cos\theta$$

### Terminologies

- W → Work done by force.

- F → Magnitude of applied force.

- s → Displacement.

- θ → Angle between force and displacement.

### SI Unit

$$Joule=Nm$$

### Dimensions

$$[W]=[ML^2T^{-2}]$$

### Conditions / Special Cases

For:

$$\theta=0^\circ$$

$$W=Fs$$

For:

$$\theta=90^\circ$$

$$W=0$$

For:

$$\theta=180^\circ$$

$$W=-Fs$$

### Usage

- Used to calculate energy transfer due to force.