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They strap themselves to a chair which is attached to a large spring, and measure the time it takes for one cycle of vibration. e / Astronaut Tamara Jernigan measures her inertial mass aboard the Space Shuttle. 1 Problem-solving techniques How do we use a conservation law, such as conservation of mass, to solve problems? There are two basic techniques. As an analogy, consider conservation of money, which makes it illegal for you to create dollar bills using your own inkjet printer. ) Suppose the police notice that a particular store doesn’t seem to have any customers, but the owner wears lots of gold jewelry and drives a BMW.

Also, a cat is shaped differently from a horse — an enlarged photograph of a cat would not be mistaken for a horse, even if the photo-doctoring experts at the National Inquirer made it look like a person was riding on its back. A grasshopper is not even a mammal, and it has an exoskeleton instead of an internal skeleton. The whole argument would be a lot more convincing if we could do some isolation of variables, a scientific term that means to change only one thing at a time, isolating it from the other variables that might have an effect.

38 Chapter 0 Introduction and Review S ALVIATI : . . , the sum of the six faces, amounts to twenty-four square inches; now imagine this cube to be sawed through three times [with cuts in three perpendicular planes] so as to divide it into eight smaller cubes, each one inch on the side, each face one inch square, and the total surface of each cube six square inches instead of twentyfour in the case of the larger cube. It is evident therefore, that the surface of the little cube is only one-fourth that of the larger, namely, the ratio of six to twenty-four; but the volume of the solid cube itself is only one-eighth; the volume, and hence also the weight, diminishes therefore much more rapidly than the surface.

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