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Chapter 2: Problem 134

The SI unit of speed is meters per second. In the United States, speed is often expressed in miles per hour. If a car is traveling \(60.0\) miles \(/ \mathrm{h}\), what is its speed in meters per second? \([1\) mile \(=1.61 \mathrm{~km}]\)

Short Answer

Expert verified
The car's speed is approximately \(26.82\,\text{m/s}\).

Step by step solution

01

Convert miles per hour to kilometers per hour

Start by converting the car's speed from miles per hour (mph) to kilometers per hour (km/h). To do this, multiply the speed in mph by the conversion factor given, which is 1 mile = 1.61 km. \(60.0\,\text{mph} \times \frac{1.61\,\text{km}}{1\,\text{mile}}\)
02

Perform the multiplication

Perform the multiplication to obtain the speed in kilometers per hour. \(60.0\,\text{mph} \times \frac{1.61\,\text{km}}{1\,\text{mile}} = 96.6\,\text{km/h}\)
03

Convert kilometers per hour to meters per second

Now convert the car's speed from kilometers per hour (km/h) to meters per second (m/s). Use the conversion factors that there are 1,000 meters in a kilometer and 3,600 seconds in an hour. \(96.6\,\text{km/h} \times \frac{1\,\text{km}}{0.001\,\text{m}} \times \frac{3\,600\,\text{s}}{1\,\text{h}}\)
04

Perform the multiplication

Perform the multiplication to obtain the speed in meters per second. \(96.6\,\text{km/h} \times \frac{1\,\text{km}}{0.001\,\text{m}} \times \frac{3\,600\,\text{s}}{1\,\text{h}} = 26.82\,\text{m/s}\) The car's speed is approximately \(26.82\,\text{m/s}\).

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Most popular questions from this chapter

Convert: (a) \(2.37 \times 10^{2} \mathrm{~L}\) to milliliter (b) \(800 \mathrm{~kg}\) to grams (c) \(0.592 \mathrm{~mm}\) to meters (d) \(8.31 \mathrm{~g}\) to kilograms (e) \(9.62 \times 10^{-6} \mathrm{~L}\) to microliters (f) \(8000 \mathrm{~m}\) to kilometers (g) \(19.3 \mathrm{mg}\) to grams (h) \(0.00345 \mathrm{~mL}\) to liters

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