A box on a frictionless horizontal surface is pulled by a tension of 42.4N directed at 45 degrees above the horizontal. what is the work done on the box as it moves 2.50 meters along the surface?

Would you need to know the mass to solve this problem?

To find the work done on the box, you need to calculate the force exerted on the box in the direction of motion and multiply it by the distance over which the force is applied.

First, let's break down the given information:

- Tension force (F): 42.4 N
- Angle above the horizontal (θ): 45 degrees
- Distance traveled (d): 2.50 meters

To determine the force component in the direction of motion, we can use trigonometry. The force component in the horizontal direction can be found using the cosine of the angle:

F_horizontal = F * cos(θ)

Substituting the given values:

F_horizontal = 42.4 N * cos(45°)

Next, we calculate the work done:

Work = Force * Distance

Substituting the values we found:

Work = F_horizontal * d

Now, we can plug in the values and calculate the work done:

Work = (42.4 N * cos(45°)) * (2.50 m)

By evaluating this expression, we find the work done on the box as it moves 2.50 meters along the surface.