A box is dragged across a floor by a rope which makes an angel 45 degree with the horizontal the tension in the rope is 100N ,while the box is dragged 10m the work done is?
To calculate the work done, we need to use the formula:
Work = Force × Distance × Cosine(θ),
where:
- Force is the tension in the rope (100N in this case),
- Distance is the distance the box is dragged (10m in this case), and
- θ is the angle between the force vector and the displacement vector (45 degrees in this case).
Calculating the work done:
Work = 100N × 10m × Cosine(45°).
The cosine of 45 degrees is √2/2, so we can substitute it into the equation:
Work = 100N × 10m × (√2/2).
= 100N × 10m × 1/√2.
= 1000N√2 / √2.
= 1000N.
Therefore, the work done is 1000 joules (J).