Final answer:
To calculate the value of 'do' in the given pulley system, we need to know the efficiency.
Step-by-step explanation:
In order to calculate the value of 'do' in the given pulley system, we need to understand the concepts of actual mechanical advantage (AMA) and ideal mechanical advantage (IMA).
AMA is the ratio of the output force (load) to the input force (effort). In this case, the load is the engine with a weight of 2,000 newtons and the effort force is 250 newtons. So, AMA = Load/Effort = 2000 N/250 N = 8.
IMA is the theoretical mechanical advantage calculated by counting the number of ropes supporting the load. In this case, since there is only one rope supporting the load, IMA = 1.
The relationship between AMA and IMA is given by the equation: AMA = IMA x efficiency.
Since the efficiency is not provided in the question, we cannot directly calculate the value of 'do' without this information.