A rope pulls on a metal box at an angle of 60.0° with a force of 255 N. The box moves horizontally for 15.0 m. How much work was done on the box?

1910 J
3310 J
255 J
3830 J

255 cos 60 * 15

assuming that the force is at 60 degrees from the motion. 1912 Joules

To find the work done on the box, we can use the formula:

Work = Force × Distance × cos(θ)

Where:
- Work is the work done on the box (in joules, J)
- Force is the force applied on the box (in newtons, N)
- Distance is the distance the box moves (in meters, m)
- θ is the angle between the applied force and the direction of motion

Given:
- Force = 255 N
- Distance = 15.0 m
- θ = 60.0°

Substituting these values into the formula, we get:

Work = 255 N × 15.0 m × cos(60.0°)

Using a calculator, we can determine that cos(60.0°) ≈ 0.5

Work = 255 N × 15.0 m × 0.5
Work = 1912.5 J

Therefore, the correct answer is 1910 J (rounded to the nearest Joule).

To find the work done on the box, we need to calculate the component of the force that is acting in the direction of the displacement of the box.

Let's break down the given information:

Angle of the rope with respect to the horizontal line: 60.0°
Force applied by the rope: 255 N
Distance moved by the box: 15.0 m

First, we need to find the component of the force in the horizontal direction. This can be done by multiplying the force by the cosine of the angle:

Horizontal component of the force = Force * cos(angle)

Horizontal component of the force = 255 N * cos(60.0°) ≈ 127.5 N

Now that we have the horizontal component of the force, we can calculate the work done:

Work = Force * Distance

Work = 127.5 N * 15.0 m

Work = 1912.5 J

Therefore, the closest option to the calculated work is 1910 J, which would be the result.