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A balloon filled with helium at a pressure of Phe = 1.3 x 105 Pa is attached by a string to the bottom of the MBTA train at the Kendall station. The diameter of the balloon is d = 40 cm. The train now accelerates to the right with a constant acceleration of a = 5 m/s2. The density of the air at ambient temperature in the train is measured to be 1.2 kg/m3. You can neglect the mass of the balloon and that of the string. a. Please determine the horizontal and vertical forces acting on the balloon once the train has just accelerated and resulting air pressure gradients are established. b. What is the angle of inclination of the balloon with respect to the vertical at that time? c. Does the balloon lean to the left or to the right?
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