Question

Define Work Done By A Constant Force And Give Some Examples Of It

$$\begin{gathered} work=(\cos \tan tforce).\left(displacement\right) \\ orW=F.S=FS\cos \theta =(F\cos \theta )S=F\left(S\cos \theta \right) \end{gathered}$$

Answer 1

1. The work done by a constant force can be defined as the product of the displacement of the object (to which the force is applied) and the component of the constant force which is parallel to the direction of displacement.
2. In simple words work done by the constant force is equal to the dot product of force and displacement.

$$\begin{gathered} work=(\cos \tan tforce).\left(displacement\right) \\ orW=\overrightarrow{F.}\overrightarrow{S}=FS\cos \theta =(F\cos \theta )S=F\left(S\cos \theta \right) \end{gathered}$$ where $\theta$ is the angle between F and S

3. In addition to force and displacement, work done also depends upon the angle between force and displacement.

4. If F or S is zero, work done is zero.

5. Also if $F\mathit{}\mathit{\ne }\mathit{0}\mathit{,}\mathit{}S\mathit{}\mathit{\ne }\mathit{0}\mathit{,}\mathit{}but\mathit{}\theta \mathit{=}\mathit{90}\mathit{°}$, then $W=FS\cos 90°=0(\mathit{\because }\mathit{}\mathit{cos}\mathit{90}\mathit{=}\mathit{0}\mathit{)}$

6. An example of work done by a constant force is the work done by a constant force of 2 Newtons on an object having a mass of 3 kilograms.