Answered: A large balloon of mass 225 kg is…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 5OQ: A solid iron sphere and a solid lead sphere of the same size are each suspended by strings and are...

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A large balloon of mass 225 kg is filled with helium gas until its volume is 318 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. (Submit a file with a maximum size of 1 MB.)

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(b) Calculate the buoyant force acting on the balloon. (Give your answer to at least three significant figures.)
N

(c) Find the net force on the balloon.
N

Determine whether the balloon will rise or fall after it is released.

The balloon will ---Select--- rise fall

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

(e) What happens to the balloon if the mass of the load is less than the value calculated in part (d)?

The balloon and its load will remain stationary.The balloon and its load will accelerate upward. The balloon and its load will accelerate downward.

(f) What limits the height to which the balloon can rise?

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