Understanding the Concepts
* Work: Work is done when a force causes a displacement. It's calculated as the product of the force component parallel to the displacement and the distance moved.
* Force Components: The force applied at an angle has two components: horizontal and vertical. Only the horizontal component does work in this case because the suitcase moves horizontally.
Calculations
1. Horizontal Force Component:
* F_horizontal = F * cos(theta)
* F_horizontal = 60 N * cos(40°)
* F_horizontal ≈ 45.96 N
2. Work Done:
* Work = F_horizontal * distance
* Work = 45.96 N * 250 m
* Work ≈ 11490 J (Joules)
Answer: The work done in dragging the suitcase is approximately 11490 Joules.