Atypical raindrop is much more massive than a mosquito and falling much faster than a mosquito flies. how does a mosquito survive the impact? recent research has found that the collision of a falling raindrop with a mosquito is a completely-inelastic collision. that is, the mosquito is "swept up" by the raindrop and ends up traveling along with the raindrop. once the relative speed between the mosquito and the raindrop is zero, the mosquito is able to detach itself from the drop and fly away.

part a

a hovering mosquito is hit by a raindrop that is 50 times as massive and falling at 8.1m/s , a typical raindrop speed. how fast is the raindrop, with the attached mosquito, falling immediately afterward if the collision is perfectly inelastic?

part 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.

Jason and mia are both running in a race. as they approach the finish line, you being the physicist that you are decide to time how long it takes them to reach the end of the race. when you start your stop watch (you can take this as time t = 0 s) you notice that mia is an unknown distance d ahead of jason and both are moving with the same initial velocity v_0. you also notice that jason is accelerating at a constant rate of a_j, while mia is deaccelerating at a constant rate of -a_m. jason and mia meet each other for the first time at time t = t_1. at this time (t = t_1) jason's velocity is two times that of mia's velocity, meaning v_j (t_1) = 2v_m (t_1). a) draw the position vs. time graph describing mia's and jason's motion from time t = 0 to time t = t_1. clearly label your axes and initial conditions on your graph. b) draw the velocity vs. time graph describing mia and jason's motion from time t = 0s to time t = t_1. clearly label your axes and initial conditions on your graph. c) how long from when the stop watch was started at t = 0s did it take mia and jason to meet? express your answer in terms of know quantities v_0, a_m, and a_j. d) when the stop watch started at time t = 0s, how far apart, d, were mia and jason? express your answer in terms of know quantities v_0, a_m, and a_j.

Aforce of 200 n is applied to an input piston of cross-sectional area 2 sq. cm pushing it downward 2.8 cm. how far does the output piston of cross-sectional area 12 sq. cm move upward? show all work.

The pressure proportional to the area a- inversely b- directly c- increase d-decrease