A consumer upset with the latest trend of postal rate increases has decided to try to send letters by balloon even though they may not reach their intended destinations. A 66400 cm³ gas-filled balloon will provide enough lift for a 46.8 g package to be accelerated upward at a rate of 3.40 m/s?. For these circumstances, calculate the density of the gas the consumer fills the balloon with. The acceleration due to gravity is g = 9.81 m/s² and the density of air is Pair = 1.16 kg/m³. Neglect the mass of the balloon material and the volume of the package. kg/m³

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 29P: How many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of...
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A consumer upset with the latest trend of postal rate increases has decided to try to send letters by balloon even though they may
not reach their intended destinations. A 66400 cm gas-filled balloon will provide enough lift for a 46.8 g package to be
accelerated upward at a rate of 3.40 m/s2. For these circumstances, calculate the density of the gas the consumer fills the balloon
with. The acceleration due to gravity is g =
9.81 m/s? and the density of air is Pair = 1.16 kg/m³. Neglect the mass of the
balloon material and the volume of the package.
3
kg/m³
Transcribed Image Text:A consumer upset with the latest trend of postal rate increases has decided to try to send letters by balloon even though they may not reach their intended destinations. A 66400 cm gas-filled balloon will provide enough lift for a 46.8 g package to be accelerated upward at a rate of 3.40 m/s2. For these circumstances, calculate the density of the gas the consumer fills the balloon with. The acceleration due to gravity is g = 9.81 m/s? and the density of air is Pair = 1.16 kg/m³. Neglect the mass of the balloon material and the volume of the package. 3 kg/m³
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