An airliner flying at 600 mph hits a 480 g duck that is 1 ft long. Estimate what

Question

An airliner flying at 600 mph hits a 480 g duck that is 1 ft long. Estimate what average force the airliner experiences from this collision. 1 mi = 1609 m, 1 m = 3.28 ft, so the collision occurs while the airliner travels 1 ft. (Since you only know the mass of the duck, you must isolate it and find the force on it. Then use the 3rd law to relate that force to that experienced by the airliner. Assume that when the duck first makes contact with the plane it is brought to a stop and then after travelling 1 ft it is going 600 mph. You must convert the 600 mph into m/s using unit conversions). 52.9 kN 899 N 6.35 kN Please show work. I was given the below shown work as an answer earlier that do not match any of the above answers. V _i=0 V _F=600 mph=600times1607/3600 =268.17 m/s d=1 ft =1/3.28 m. V _F^2-V _i^2=2ad. A=1.18 times 10 ^5 m/s ^2 F= mq =(0.480) (1.18 times 10 ^5) F=5.66 times 10^4 N

Explanation / Answer

Vi=0
Vf=600m/h=0.166667 m/s
d=0.3048m
Vf^2-Vi^2=2ad
a=.04568m/s^2
F=ma=.02192N

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