A large balloon of mass 226 kg is filled with helium gas until its volume is 325 m3 . Assume the density of air is 1.29 kg/m3 and the density of helium is 0.179 kg/m3 . (a) Draw a force diagram for the balloon. (b) Calculate the buoyant force acting on the balloon. (c) Find the net force on the balloon and determine whether the balloon will rise or fall after it is released. (d) What maximum additional mass can the balloon support in equilibrium? (e) What happens to the balloon if the mass of the load is less than the value calculated in part (d)? (f ) What limits the height to which the balloon can rise?

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