Final answer:
The statement is true; the woman weighing 176 lb has a greater mass than the other woman who weighs 722 N after converting newtons to pounds.
Step-by-step explanation:
The question is asking to evaluate whether it is true or false that the woman who weighs 176 lb has a greater mass than another woman who weighs 722 N. To answer this, one must understand the relationship between weight and mass, as well as the conversion between pounds and newtons.
First, it is important to know that weight is the force due to gravity on an object and is measured in newtons, while mass is an intrinsic property of an object and is measured in kilograms. Using the conversion factor that 1 N = 0.225 lb, we can calculate that 722 N converts to 162.45 lb (722 N * 0.225 lb/N).
Comparing the weights in pounds, the woman weighing 176 lb is heavier than 162.45 lb, which is the converted weight of the other woman from newtons to pounds. Since weight is a measure of the gravitational force on an object and is proportional to mass when gravity is constant, the woman who weighs 176 lb does have the greater mass.
Therefore, the statement that the woman weighing 176 lb has the greater mass compared to the other woman who weighs 722 N is true.