Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
3rd Edition
ISBN: 9780133593211
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
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Chapter 6, Problem 6ICA

During rush hour, cars back up when the traffic signal turns red. When cars line up at a traffic signal, assume that they are equally spaced (∆x) and that all the cars are the same length (L). You do not begin to move until the car in front of you begins to move, creating a reaction time (∆t) between the time the car in front begins to move and the time you start moving. To keep things simple, assume that when you start to move, you immediately move at a constant speed (v).

  1. a. If the traffic signal stays green for some time (tg), how many cars (N) will make it through the light?
  2. b. If the light remains green for twice the time, how many more cars will get through the light?
  3. c. If the speed of each car is doubled when it begins to move, will twice as many cars get through the light? If not, what variable would have to go to zero for this to be true?
  4. d. For a reaction time of zero and no space between cars, find an expression for the number of cars that will pass through the light. Does this make sense?
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A Water Balloon Battle. You are launching water balloons at a rival team using a large slingshot. The other team is set up on the opposite side of a flat-topped building that is 30.0 ft tall and 50.0 ft wide. Your reconnaissance team has reported that the opposition is set up 10.0 m from the wall of the building. Your balloon launcher is calibrated for launch speeds that can reach as high as 90 mph at angles between 0 and 85.0° from the horizontal. Since a direct shot is not possible (the opposing team is on the opposite side of the building), you plan to splash the other team by making a balloon explode on the ground near them. If your launcher is located 55.0 m from the building (opposite side as the opposing team), what should your launch velocity be ((a) magnitude and (b) direction) to land a balloon 5.0 meters beyond the opposing team with maximum impact (i.e. maximum vertical speed)? (a) Number (b) Number IN IN Units Units
help here would be great, thanks!
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