A jet flying at 133 m/s banks to make a horizontal circular turn. The radius of the turn is 3810 m, and the mass of the jet is 1.84 105 kg. Calculate the magnitude of the necessary lifting force.
given
v = 133 m/s
r = 3810 m
m = 1.84*10^5 kg
centripetal force needed, F_centripetal = m*v^2/r
= 1.84*10^5*133^2/3810
= 854272 N
Force required to balance gravity, Fy = Fg
= m*g
= 1.84*10^5*9.8
= 1803200 N
Total magnitude of lifting force, F_lifting = sqrt(F_centripetal^2 + Fy^2)
= sqrt(854272^2 + 1803200^2)
= 2.00*10^6 N <<<<<<<-----------------Answer
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