Buoyant force:

$\overline{){{\mathbf{F}}}_{{\mathbf{b}}}{\mathbf{=}}{{\mathbf{\rho}}}_{{\mathbf{a}}}{{\mathbf{V}}}_{{\mathbf{b}}}{\mathbf{g}}}$, where ρ_{a} is the density of air, V_{b} is the volume of the balloon, and g is the acceleration due to gravity.

A balloon filled with helium gas has an average density of ρ_{b} = 0.26 kg/m^{3}. The density of the air is about ρ_{a} = 1.23 kg/m^{3}. The volume of the balloon is V_{b} = 0.024 m^{3}. The balloon floats upward with acceleration a.

Part (a) Express the net force F on the balloon in terms of its weight W and the buoyancy force F_{b} on it, assuming upward is the positive direction.

Part (b) Calculate the numerical value of the acceleration a in m/s^{2}.

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