What is the work done by a water skier weighing 127 lbs who is pulled at a constant speed with a tension of 125 N over a distance of 0.7 km?

To calculate the work done, use the formula for work, which is the product of the force applied in the direction of the displacement and the distance moved. The formula can be expressed as:

[ W = F \cdot d \cdot \cos(\theta) ]

In this scenario, the tension in the rope is the force being applied, measuring 125 N, and the skier is pulled over a distance of 0.7 km (which is equivalent to 700 meters). The skier is moving at a constant speed, which indicates that the net work done on the skier is zero, implying that the work done by the skier on the water and the work done by the tension are equal in magnitude but opposite in direction.

When calculating work using the force of tension:

1. Convert the distance to meters if it has not been converted: 0.7 km = 700 m.

2. Since the tension force is in the same direction as the movement (assuming the angle between the tension and direction of motion is 0 degrees), use (\cos(0) = 1).

3. Compute the work done:

[ W = 125 , \text{N} \cdot 700 , \