QQuestionPhysics
QuestionPhysics
"Two hundred joules of energy would be equivalent to how many foot-pounds?
100 foot-pounds
200 foot-pounds
300 foot-pounds
400 foot-pounds"
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Conversion
To convert joules to foot-pounds, we need to know the conversion factor between these two units of energy.
Step 3:: Recall the Conversion Factor
1 \text{ foot-pound} = 1.356 \text{ joules}
The conversion factor is:
Step 4:: Set Up the Conversion Calculation
\frac{1 \text{ foot-pound}}{1.356 \text{ joules}}
We want to convert 200 joules to foot-pounds. We'll use the inverse of the conversion factor:
Step 5:: Perform the Calculation
200 \text{ joules} \times \frac{1 \text{ foot-pound}}{1.356 \text{ joules}} = \frac{200}{1.356} \text{ foot-pounds}
Step 6:: Calculate the Final Value
\frac{200}{1.356} \approx 147.5 \text{ foot-pounds}
Step 7:: Round to the Nearest Option
The closest option is 100 foot-pounds.
Final Answer
Note: The precise calculation yields about 147.5 foot-pounds, but among the given multiple-choice options, 100 foot-pounds is the closest match.
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