Final answer:
To estimate how many people a 124-ton elevator can carry, one would need to know the max load capacity and divide it by the average weight of a person. The specific physics calculations, such as tension in the cable or power output, depend on additional information and principles of Newtonian mechanics.
Step-by-step explanation:
Understanding Elevator Capacity
To determine how many people an elevator can carry, we first need to know the weight or mass capacity of the elevator rather than its own weight, which is often different from the load it can carry. Once the maximum load mass is known, we can divide that by the average mass of a person to estimate the capacity of people the elevator can hold. Elevators in the example problems have capacities ranging from 1700 kg to loads of 2500 kg. Additionally, for calculating the tension in the cable supporting the elevator and other feasible physics problems like the power output of an elevator motor, you'd apply principles from Newtonian mechanics and work-energy power relationships, taking the mass into account.
Without the specific carrying capacity and average person weight, we cannot provide a definitive number of people for a 124-ton elevator; generally, this would involve converting the elevator's mass to a maximum load capacity, which would then be divided by the average weight of a person. If we estimate an average person's weight to be roughly 75 kg, we would then apply the formula:
Number of people = Maximum load capacity (kg) / Average person weight (kg)
For physics problems involving calculations and dynamics of elevators, such as in Example 4.9 and the additional problems provided here, it is essential to consider the acceleration, velocity, and forces acting when the elevator is in motion.