   Chapter 9, Problem 22P

Chapter
Section
Textbook Problem

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?

(a)

To determine

To draw: The Force diagram for the balloon.

Explanation

The force diagram for the balloon is depicted below

Here, the buoyant force is acting upward direction. And the weight of the helium and the balloon is acting downward direction...

(b)

To determine
The buoyant force acting on the balloon.

(c)

To determine
The net force on the balloon and whether the balloon will rise or fall after it released.

(d)

To determine
The maximum additional mass can the balloon support in equilibrium.

(e)

To determine
What will happen to the balloon if the mass of the load is less than the calculated value.

(f)

To determine
The height limits to which the balloon can rise.

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