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Chapter 20: Problem 4

Question:

A rule for finding your distance from a lightning flash is to count seconds from the time you see the flash until you hear the thunder and then divide the count by 5. The result is supposed to give you the distance in miles. Explain this rule and determine the tex2html_wrap_inline515 error in it at tex2html_wrap_inline517 and tex2html_wrap_inline519 pressure. Devise a similar rule for obtaining the distance in kilometers.

Solution: Since the speed of light is tex2html_wrap_inline521, we will take tex2html_wrap_inline523 for this calculation. At a temperature of tex2html_wrap_inline525, and pressure of tex2html_wrap_inline519 the speed of sound is tex2html_wrap_inline529. Therefore, for a person standing a distance d from the lightning, the time between the light and the sound arriving is tex2html_wrap_inline533. Therefore, by counting a time tex2html_wrap_inline535 between the light and sound corresponds to a distance traveled of tex2html_wrap_inline537. This rule is good to tex2html_wrap_inline539. Converting to miles (tex2html_wrap_inline541), gives tex2html_wrap_inline543. This is good to tex2html_wrap_inline545.



Martin Savage
Tue Jan 12 17:39:44 PST 1999