To calculate the work done, we can use the formula:
Work (W) = Force (F) x Distance (d) x cos(theta)
Where:
- Force (F) is the force applied to carry the package, which is 23 N.
- Distance (d) is the vertical height of the stairs, which is 23.8 m.
- theta (θ) is the angle between the force and the direction of movement, which is 0 degrees when carrying straight up stairs.
Since the force is applied vertically upwards, theta can be assumed to be 0 degrees, and cos(0) equals 1:
W = 23 N x 23.8 m x cos(0)
W = 23 N x 23.8 m x 1
W = 548.6 Joules
Therefore, the work done to carry the package up the flight of stairs is 548.6 Joules.