A large balloon of mass 224 kg is filled with helium gas until its volume is 321

Question

A large balloon of mass 224 kg is filled with helium gas until its volume is 321 m3. Assume the density of air is 1.29 kg/m3 and the density of helium is 0.179 kg/m3.

(a) Draw a free-body diagram for the balloon. (Do this on paper. Your instructor may ask you to turn in this work..)

(b) Calculate the buoyant force acting on the balloon. ( In Newtons)

(c) Find the net force on the balloon and determine whether the balloon will rise or fall after it is released.( in Newtons)

(d) What maximum additional mass can the balloon support in equilibrium? (In Kilograms)

Explanation / Answer

Part B: Fbuoy = ?airVg where V is the volume of the balloon ?air is the density of air outside theballoon g is gravity acceleration Part C: Since the density of a helium filled balloon is less than thatof the surrounding air, it is subject to an upward buoyant forcethat is greater than its weight, making it float upward. Fnet = Fbuoy - mg Part D: Fnet = Fbuoy - mg - maddl =0 or Fnet = Fbuoy - (m + maddl)g =0 solve for maddl to find the additional weight thatthe balloon can support. Part E: if this is the case, then the buoyant force should still begreater than the total weight of the balloon, which will stillcause the balloon to rise upward. Part F: I think the answers may be the first three choices. Well i hope this helps you. Good luck!

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