Q
QuestionPhysics

Using only dimensional analysis, convert 65 miles per hour to kilometers per second. Show your work and explain how you arrived at your answer.
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Answer

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Step 1
I'll solve this problem using dimensional analysis, following the specified LaTeX formatting guidelines:

Step 2
: List the given conversion factors

- 1 mile = $$1.60934~\mathrm{kilometers}
- 1 hour = 3600~\mathrm{seconds}

Final Answer

Key Insight: Dimensional analysis allows direct conversion between units by systematically canceling and converting units through multiplication.