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Answer :
Final answer:
A woman weighing 163 pounds has a mass of 73.936 kilograms. Multiplying this by the acceleration due to gravity (9.80 m/s^2), her weight in Newtons is approximately 725 N.
Explanation:
To determine the weight of a woman who weighs 163 pounds in Newtons, you must convert pounds to kilograms, then multiply by the acceleration due to gravity to get the weight in Newtons. One pound is equivalent to 0.453592 kilograms. Thus, the woman's mass is 163 pounds imes 0.453592 kilograms/pounds = 73.93576 kilograms. The acceleration due to gravity is approximately 9.80 meters per second squared. Therefore, using the formula Weight (in Newtons) = Mass (in kilograms) imes Acceleration due to gravity (in meters per second squared), the weight in Newtons can be calculated as:
Weight = 73.93576 kg imes 9.80 m/s2 = 724.570448 N.
To maintain significant figures, rounding to three significant digits would make the weight approximately 725 N. This is the force of gravity acting on the woman, and it's what we would measure as her weight on a scale that reads in Newtons.
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