To calculate the work done on the box, we can use the formula:
Work = Force * Distance * cos(θ)
1. Given values:
- Force (F) = 90.0 N
- Distance (d) = 11.0 m
- Angle (θ) = 35 degrees
2. Convert the angle from degrees to radians since trigonometric functions in the formula require radians:
- 35 degrees * (π/180) = 0.6109 radians
3. Calculate the cosine of the angle:
- cos(0.6109) ≈ 0.825
4. Substitute the values into the formula:
- Work = 90.0 N * 11.0 m * 0.825 ≈ 808.5 Joules
Therefore, the work done on the box when it is pulled 11.0 m along a level surface by a rope making an angle of 35 degrees with the ground and exerting a force of 90.0 N is approximately 808.5 Joules.
