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°

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 $0^{\circ}$