Car throwing stones. Chipsealing is a common and relatively inexpensive way to pave a road. A layer of hot tar is sprayed onto the existing road surface and then stone chips are spread over the surface. A heavy roller then embeds the chips in the tar. Once the tar cools, most of the stones are trapped. However, some loose stones are scattered over the surface. They eventually will be swept up by a street cleaner, but if cars drive over the road before then, the rear tires on a leading car can launch stones backward toward a trailing car (see the figure below). Assume that the stones are launched at speed vo= 11.2 m/s (25 mi/h), matching the speed of the cars. Also assume that stones can leave the tires of the lead car at road level and at any angle and not be stopped by mud flaps or the underside of the car. In terms of car lengths Le = 4.50 m, what is the least separation L between the cars such that stones will not hit the trailing car? Number i 13.5 Portions of car rear Units Stone m Portions of car front

Physics for Scientists and Engineers
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Author:Raymond A. Serway, John W. Jewett
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Chapter7: Energy Of A System
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Car throwing stones. Chipsealing is a common and relatively inexpensive way to pave a road. A layer of hot tar is sprayed onto the
existing road surface and then stone chips are spread over the surface. A heavy roller then embeds the chips in the tar. Once the tar
cools, most of the stones are trapped. However, some loose stones are scattered over the surface. They eventually will be swept up by
a street cleaner, but if cars drive over the road before then, the rear tires on a leading car can launch stones backward toward a trailing
car (see the figure below). Assume that the stones are launched at speed vo= 11.2 m/s (25 mi/h), matching the speed of the cars. Also
assume that stones can leave the tires of the lead car at road level and at any angle and not be stopped by mud flaps or the underside of
the car. In terms of car lengths Lc=4.50 m, what is the least separation L between the cars such that stones will not hit the trailing car?
Number
13.5
Portions of
car rear
Units
Stone
E
Portions of
car front
Transcribed Image Text:* Incorrect. Car throwing stones. Chipsealing is a common and relatively inexpensive way to pave a road. A layer of hot tar is sprayed onto the existing road surface and then stone chips are spread over the surface. A heavy roller then embeds the chips in the tar. Once the tar cools, most of the stones are trapped. However, some loose stones are scattered over the surface. They eventually will be swept up by a street cleaner, but if cars drive over the road before then, the rear tires on a leading car can launch stones backward toward a trailing car (see the figure below). Assume that the stones are launched at speed vo= 11.2 m/s (25 mi/h), matching the speed of the cars. Also assume that stones can leave the tires of the lead car at road level and at any angle and not be stopped by mud flaps or the underside of the car. In terms of car lengths Lc=4.50 m, what is the least separation L between the cars such that stones will not hit the trailing car? Number 13.5 Portions of car rear Units Stone E Portions of car front
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