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

AP Physics 1

8.3 Fluids and Newton’s Laws

8.2 Pressure

8.1 Internal Structure and Density

AdvancedFRQMathematical13.8k

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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