QQuestionPhysics
QuestionPhysics
Solve using conversion factors: What is the mass, in kilograms, of a person who weighs 175 lb?
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Answer
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Step 1:I'll solve this problem step by step using the specified LaTeX formatting guidelines:
Step 2:: Identify the Conversion Factor
1 \text{ kg} = 2.205 \text{ lb}
To convert pounds (lb) to kilograms (kg), we need to know the conversion factor:
Step 3:: Set Up the Conversion
\frac{1 \text{ kg}}{2.205 \text{ lb}} \times 175 \text{ lb}
We want to convert 175 lb to kg, so we'll set up the conversion factor:
Step 4:: Calculate the Conversion
175 \text{ lb} \times \frac{1 \text{ kg}}{2.205 \text{ lb}} = \frac{175}{2.205} \text{ kg}
Multiply the given weight by the conversion factor:
Step 5:: Perform the Calculation
\frac{175}{2.205} = 79.41 \text{ kg}
Final Answer
Key Points: - The conversion factor is 1 \text{ kg} = 2.205 \text{ lb} - Always divide the given weight by the conversion factor - Round to two decimal places for practical measurements
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