Sweden and Norway are at war over who makes the best pickled herring. You are in charge of a Swedish artillery unit that is trying to shoot at some Norwegians located 1000 meters away at the same height as you are. If we neglect the friction of the air, the cannon ball follows a parabolic trajectory; as you certainly recall from prior courses, a cannon ball travels a distance L = V² sin(2a) 9 where Vis the initial velocity, a is the angle of the cannon barrel, and g = 9.8 m/s² is the gravitational acceleration. You realize that you only have two options for how to shoot. Option (1) is to use 1 bag of gun powder, which produces an initial velocity of exactly V₁ = 105 m/s, and to try to set the angle to αI,nominal = 39 degree. Option (II) is to use 2 bags of gun powder, which produces exactly V₁ = 137 m/s, and to try to set the angle to αII,nominal = 15 degree. If you set the angles exactly to the nominal ones, compute the traveling distances. L₁ = LII = number (rtol=0.05, atol-0.0001) number (rtol=0.05, atol-0.0001) ? ?

Sweden and Norway are at war over who makes the best pickled herring. You are in charge of a Swedish artillery unit that is trying to shoot at some Norwegians located 1000 meters away at the same height as you are. If we neglect the friction of the air, the cannon ball follows a parabolic trajectory; as you certainly recall from prior courses, a cannon ball travels a distance L = V² sin(2a) 9 where Vis the initial velocity, a is the angle of the cannon barrel, and g = 9.8 m/s² is the gravitational acceleration. You realize that you only have two options for how to shoot. Option (1) is to use 1 bag of gun powder, which produces an initial velocity of exactly V₁ = 105 m/s, and to try to set the angle to αI,nominal = 39 degree. Option (II) is to use 2 bags of gun powder, which produces exactly V₁ = 137 m/s, and to try to set the angle to αII,nominal = 15 degree. If you set the angles exactly to the nominal ones, compute the traveling distances. L₁ = LII = number (rtol=0.05, atol-0.0001) number (rtol=0.05, atol-0.0001) ? ?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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