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**Extra info for Bohn On the History of Conservation of Energy and of its Application to Physics**

**Example text**

0 m2. 6 | Coordinate Systems Many aspects of physics deal in some way or another with locations in space. For example, the mathematical description of the motion of an object requires a method for specifying the object’s position. Therefore, we first discuss how to describe the position of a point in space by means of coordinates in a graphical representation. A point on a line can be located with one coordinate, a point in a plane is located with two coordinates, and three coordinates are required to locate a point in space.

The remaining unit is the centimeter, which is our desired result. 2 The distance between two cities is 100 mi. What is the number of kilometers between the two cities? 2 | Is He Speeding? 0 m/s. 0 mi/h? 36 3 1022 mi/s) The driver is indeed exceeding the speed limit and should slow down. What if the driver were from outside the United States and is © Cengage Learning/Ed Dodd familiar with speeds measured in kilometers per hour? What is the speed of the car in km/h? 2 shows an automobile speedometer displaying speeds in both mi/h and km/h.

SOLUTION We start by guessing that the typical human lifetime is about 70 years. Think about the average number of breaths that a person takes in 1 min. This number varies depending on whether the person is exercising, sleeping, angry, serene, and so forth. To the nearest order of magnitude, we shall choose 10 breaths per minute as our estimate. ) 1 400 days 5 6 3 10 min 21125dayh 21601min h 2 5 Find the approximate number of minutes in a year: 1 yr Find the approximate number of minutes in a 70-year lifetime: number of minutes 5 (70 yr)(6 3 105 min/yr) 5 4 3 107 min Find the approximate number of breaths in a lifetime: number of breaths 5 (10 breaths/min)(4 3 107 min) 1 yr 5 4 3 108 breaths Therefore, a person takes on the order of 109 breaths in a lifetime.