When the force and the displacement are in the same direction, then work done will be:
positive
To determine the nature of the work done when the force and displacement are in the same direction, we use the concept of work in physics. The work done by a force is given by the equation:
\[ W = F \cdot d \cdot \cos(\theta) \]
where:
- W is the work done.
- F is the magnitude of the force applied.
- d is the displacement of the object.
- \(\theta\) is the angle between the force and the displacement vector.
In this scenario, since the force and displacement are in the same direction, the angle \(\theta\) is 0 degrees. The cosine of 0 degrees is 1, thus simplifying the equation to:
\[ W = F \cdot d \cdot \cos(0^\circ) = F \cdot d \cdot 1 = F \cdot d \]
As both force and displacement are positive quantities and in the same direction, the work done \( W \) will also be positive. Therefore, when the force and displacement are in the same direction, the work done will be:
positive
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