select the correct answer.\nin which situation is the maximum possible work done?\na. when the angle between…

select the correct answer.\nin which situation is the maximum possible work done?\na. when the angle between the force and displacement is 0°\nb. when the angle between the force and displacement is 180°\nc. when the angle between the force and displacement is 45°\nd. when the angle between the force and displacement is 90°
Answer
Explanation:
Step1: Recall work - formula
The work - done formula is $W = Fd\cos\theta$, where $W$ is work done, $F$ is the force applied, $d$ is the displacement, and $\theta$ is the angle between the force and the displacement.
Step2: Analyze the range of cosine function
The cosine function $\cos\theta$ has a range of $[- 1,1]$. The value of $\cos\theta$ is maximum when $\theta = 0^{\circ}$, and $\cos(0^{\circ})=1$.
Step3: Determine the situation for maximum work
Since $W = Fd\cos\theta$, and $F$ and $d$ are non - negative, when $\cos\theta$ is maximum ($\cos\theta = 1$ at $\theta = 0^{\circ}$), the work done $W$ is maximum.
Answer:
A. when the angle between the force and displacement is $0^{\circ}$