In which situation is maximum work considered to be done by a force?
The angle between the force and displacement is 180°.
The angle between the force and displacement is 90°.
The angle between the force and displacement is 60°.
The angle between the force and displacement is 45°.
The angle between the force and displacement is 0°.
In order to determine in which situation maximum work is considered to be done by a force, we need to consider the relationship between the force applied and the displacement of the object on which the force is acting.
The work done by a force is given by the formula:
Work = Force * Displacement * cos(angle)
Where the angle is the angle between the force vector and the displacement vector.
Let's analyze each situation:
1. The angle between the force and displacement is 180°:
In this case, the cosine of the angle is -1. Therefore, the work done is negative, indicating that the force is doing work against the displacement. So, maximum work is not done in this situation.
2. The angle between the force and displacement is 90°:
In this case, the cosine of the angle is 0. Therefore, the work done is zero. This means that the force is not performing any work because it is acting perpendicular to the displacement.
3. The angle between the force and displacement is 60°:
In this case, the cosine of the angle is 0.5 (or √3/2). So, the work done is positive but less than the maximum possible work. The force is doing work but not achieving maximum efficiency.
4. The angle between the force and displacement is 45°:
In this case, the cosine of the angle is approximately 0.7071 (or 1/√2). So, the work done is again positive but less than the maximum possible work. The force is doing work but not achieving maximum efficiency.
5. The angle between the force and displacement is 0°:
In this case, the cosine of the angle is 1. Therefore, the work done is maximum and positive. The force is performing work in the same direction as the displacement, resulting in the maximum possible work.
Hence, the correct answer is: The angle between the force and displacement is 0°.