QQuestionPhysics
QuestionPhysics
The speed of a particular automobile is 45 mph (miles per hour). Use the following relationships to calculate the speed in units of km/s (kilometers per second).
1 km = 0.62 mi
1 h = 60 min
1 min = 60 s
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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:: Convert miles per hour to kilometers per hour
- Convert to km/h: $$45 \mathrm{~mph} \times \frac{1 \mathrm{~km}}{0.62 \mathrm{~mi}} = \frac{45}{0.62} \mathrm{~km/h} = 72.58 \mathrm{~km/h}
- Conversion factor: 1 \mathrm{~km} = 0.62 \mathrm{~mi}
Step 3:: Convert kilometers per hour to kilometers per second
- Convert km/h to km/s: $$72.58 \mathrm{~km/h} \times \frac{1 \mathrm{~h}}{60 \mathrm{~min}} \times \frac{1 \mathrm{~min}}{60 \mathrm{~s}} = \frac{72.58}{3600} \mathrm{~km/s}
- Conversion factors:
Step 4:: Calculate the final speed in kilometers per second
- Simplify the calculation: $$\frac{72.58}{3600} = 0.0201 \mathrm{~km/s}
Final Answer
0.0201 \mathrm{~km/s}
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