These problems are an introduction to perfectly plastic impact (which we will cover in Section 5.2). In each problem, model the vehicles A and C as particles and treat the swarm of bugs B hitting the vehicles as a single particle. Also assume that the swarm of bugs sticks perfectly to each vehicle (this is what is meant by a perfectly plastic impact).
Figure P5.19
An 80,000 lb semitruck A (the maximum weight allowed in many states) is traveling at 70 mph when it encounters a swarm of mosquitoes B. The swarm is traveling at 1 mph in the opposite direction of the truck. Assuming that the entire swarm sticks to the truck, the mass of each mosquito is 2 mg, and that all of these mosquitoes do not significantly damage the truck, how many mosquitoes must have hit the truck if it slows down by 2 mph on impact? If the same number of mosquitoes hit a small SUV C weighing 3000 lb, by how much will the SUV slow down?
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