Balloons are often filled with helium gas because it

Chapter 1, Problem 102P

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Balloons are often filled with helium gas because it weighs only about one-seventh of what air weighs under identical conditions. The buoyancy force, which can be expressed as \(F_{b}=\rho_{\text {air }} g V_{\text {balloon }}\), will push the balloon upward. If the balloon has a diameter of \(12 \mathrm{~m}\) and carries two people, \(85 \mathrm{~kg}\) each, determine the acceleration of the balloon when it is first released. Assume the density of air is \(\rho=1.16 \mathrm{~kg} / \mathrm{m}^{3}\), and neglect the weight of the ropes and the cage.

FIGURE P1–102

Equation Transcription:

Text Transcription:

F_b=rho_air gV_balloon

12 m

85 kg

rho=1.16 kg/m^3

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