A spherical balloon of mass \(226\,\text{kg}\) is filled with helium gas until its volume is \(325\,\text{m}^3\). Assume the density of air is \(1.29\,\text{kg/m}^3\) and the density of helium is \(0.179\,\text{kg/m}^3\).(a) If the balloon is held to the ground by a vertically oriented string, what is the tension in the string? , (b) If the string is cut, and a \(95.5\text{-kg}\) basket is now supported beneath the balloon, what is the magnitude and direction of the balloon’s vertical acceleration? :

\(1.32\times10^{3}\,\text{N}\) \(1.02\,\text{m/s}^2\,\text{upward}\)

A spherical balloon of mass \(226\,\text{kg}\) is filled with helium gas until its volume is \(325\,\text{m}^3\). Assume the density of air is \(1.29\,\text{kg/m}^3\) and the density of helium is \(0.179\,\text{kg/m}^3\). • Nerd Notes

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AP Physics 1

8.3 Fluids and Newton’s Laws

8.2 Pressure

8.1 Internal Structure and Density

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2.4 Newton’s First Law

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A spherical balloon of mass \(226\,\text{kg}\) is filled with helium gas until its volume is \(325\,\text{m}^3\). Assume the density of air is \(1.29\,\text{kg/m}^3\) and the density of helium is \(0.179\,\text{kg/m}^3\).

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