Question

The angle between force and displacement for maximum work should be

Answer 1

Condition for maximum work:

1. Work is defined as the energy transferred when an object is moved.
2. It is the dot product of force and displacement.
3. It is a scalar quantity.

$W=F·d·\cos \left(\theta \right)$

Where, $W$ is the work done, $F$ is the force used, $d$ is the displacement of the object and $\theta$ is the angle between the $F$ and $d$.

When $\cos \left(\theta \right)=1$, work is done is maximum.

$\begin{array}{cc}& \cos \left(\theta \right)=1\\ \Rightarrow & \theta ={\cos }^{-1}\left(1\right)\\ \Rightarrow & \theta =0°\end{array}$

Therefore, when the angle between force and displacement is $0°$, work done is maximum.