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1) On a banked race track, the smallest circular path on which cars can move has a radius of 120 m, while the largest has a radius 155 m, as the drawing illustrates. The height of the outer wall is 18 m.

(a) Find the smallest speed at which cars can move on this track without relying on friction. m/s

(b) Find the largest speed at which cars can move on this track without relying on friction. m/s

2) A jet flying at 105 m/s banks to make a horizontal circular turn. The radius of the turn is 3810 m, and the mass of the jet is 2.04 105 kg. Calculate the magnitude of the necessary lifting force.

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