Below are the questions:
A) A hovering mosquito is hit by a raindrop that is 45 times as massive and falling at 8.9m/s , a typical raindrop speed. How fast is the raindrop, with the attached mosquito, falling immediately afterward if the collision is perfectly inelastic?
<span>B) Because a raindrop is "soft" and deformable, the collision duration is a relatively long 8.0 ms. What is the mosquito's average acceleration, in g's, during the collision? The peak acceleration is roughly twice the value you found, but the mosquito's rigid exoskeleton allows it to survive accelerations of this magnitude. In contrast, humans cannot survive an acceleration of more than about 10 g.
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Below are the answers:
a. <span>MU = (M + m)V; where M = 45 m, U = 8.9 m/s, find V = ?. V = (45/46)*8.9 = 8.7 m/s
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b. <span>F = m dV/dT = m 8.7/8E-3 = m 1.0875E+03; so G = 1.0875E+03/9.8 = 111 G's.</span>
The correct answer is a vacuole
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