select the correct answer.\nin which situation is maximum work considered to be done by a force?\na. the…

Explanation:

Step1: Recall work - formula

The work done by a force $W = Fd\cos\theta$, where $F$ is the force, $d$ is the displacement and $\theta$ is the angle between the force and the displacement.

Step2: Analyze the cosine function

The range of the cosine function is $[- 1,1]$. The value of $\cos\theta$ is maximum when $\theta = 0^{\circ}$, since $\cos(0^{\circ})=1$, $\cos(45^{\circ})=\frac{\sqrt{2}}{2}\approx0.707$, $\cos(60^{\circ})=\frac{1}{2} = 0.5$, $\cos(90^{\circ}) = 0$ and $\cos(180^{\circ})=-1$.

Step3: Determine the situation for maximum work

When $\cos\theta$ is maximum, the work $W = Fd\cos\theta$ is maximum. Since $\cos\theta$ is maximum at $\theta = 0^{\circ}$, the maximum work is done when the angle between the force and displacement is $0^{\circ}$.

Answer:

E. The angle between the force and displacement is $0^{\circ}$