Finding the acceleration of a balloon

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To find the acceleration of a weather balloon carrying a load, the buoyant force and weight must be considered. The balloon has a mass of 5 kg and a radius of 2.879 m, while the load adds another 10 kg. The densities of air and helium are given as 1.16 kg/m^3. The discussion highlights confusion around applying Bernoulli's equation and the concept of buoyant force versus weight. Ultimately, the focus is on calculating the acceleration immediately after the balloon is released, emphasizing the need to understand buoyancy and weight dynamics.
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1. An empty spherical weather balloon with a mass of 5 kg has a radius of 2.879 m when fully inflated with helium. It is supposed to carry a small load of instruments having a mass of 10 kg. Taking air and helium to have densities of 1.16 kg/m^3, respectively, what will be the acceleration of the balloon and load immediately after it is released?



2. i have a= v^2/r and Bernoulli's equation P1+.5(pv1^2+pgy1)=P2+.5(pv2^2+pgy2)



3. I keep trying to figure a way to manipulate Bernoulli's equation to solve for v to plug into the first equation but can't get it to work. I also tried solving for escape speed (vesc=the square root of 2GM/R). But that doesn't use the densities. I'm extremely confused at this point.
 
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Do you need Bernoulli's equation?
Isn't it simply bouyant force upward and weight down.

Remember immediately after release it has no velocity
 
no i have bernoulli's equation but i don't know how to solve for the acceleration immediately after release...
 

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