A hot-air balloon of mass Mis descending vertically with downward acceleration of magnitude a. How much mass (ballast) must be thrown out to give the balloon an upward acceleration of magnitude a? Assume that the upward force from the air (the lift) does not change because of the decrease in mass.

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
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 61P
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A hot-air balloon of mass Mis descending vertically
with downward acceleration of magnitude a. How much mass (ballast)
must be thrown out to give the balloon an upward acceleration of magnitude
a? Assume that the upward force from the air (the lift) does not
change because of the decrease in mass.

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