select the correct answer. in which situation is maximum work considered to be done by a force? a. the angle…

select the correct answer. in which situation is maximum work considered to be done by a force? a. the angle between the force and displacement is 180°. b. the angle between the force and displacement is 90°. c. the angle between the force and displacement is 60°. d. the angle between the force and displacement is 45°. e. the angle between the force and displacement is 0°.
Answer
Explanation:
Step1: Recall work - formula
The work done by a force $W = Fd\cos\theta$, where $F$ is the magnitude of the force, $d$ is the magnitude of 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 $[- 1,1]$. We want to maximize $W = Fd\cos\theta$. Since $F$ and $d$ are non - negative magnitudes, we need to maximize $\cos\theta$.
Step3: Find the maximum of cosine
The cosine function $y = \cos\theta$ has a maximum value of 1 when $\theta=0^{\circ}$.
Answer:
E. The angle between the force and displacement is $0^{\circ}$.