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
Chapter4: The Laws Of Motion
Section: Chapter Questions
Problem 33P: Two blocks, each of mass m = 3.50 kg, are hung from the ceiling of an elevator as in Figure P4.33....
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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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