To determine who has done the least amount of work, we can calculate the work done by each friend using the formula:
Work (W) = Force (F) × Distance (d)
Mike:
Force (F) = 50 N
Distance (d) = 6 m
Work (W) = 50 N × 6 m = 300 N·m (Joules)
Janet:
Force (F) = 35 N
Distance (d) = 3 m
Work (W) = 35 N × 3 m = 105 N·m (Joules)
Juan:
Force (F) = 60 N
Distance (d) = 3.8 m
Work (W) = 60 N × 3.8 m = 228 N·m (Joules)
Now, let's compare the amount of work done by each friend:
Mike: 300 N·m
Janet: 105 N·m
Juan: 228 N·m
Janet has done the least amount of work, which is 105 N·m. So, according to the question, Janet has done the least work, and she should buy lunch.