Finding mass using charges and accerleration

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To find the mass of a balloon with a charge of -0.70 µC suspended above a charged rod at a height of 30 cm, the electric force (Fe) and gravitational force (Fg) need to be considered. The problem states that the balloon has an acceleration of 1.5 m/s² towards the rod, indicating it is in equilibrium. The equation Fe - Fg = ma can be used, where the gravitational force is expressed as Fg = -mg. By substituting known values for Fe and acceleration, the mass of the balloon can be calculated as the final unknown variable. Understanding the relationship between electric and gravitational forces is key to solving this problem.
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Homework Statement


A rod carrying a charge of 8.0uc held above a balloon carrying a charge of -.70 uc. at a height of 30cm. find the mass of the balloon

Homework Equations


fe= (q1*q2)/r^2[/B]
F=ma

The Attempt at a Solution


I do not want this problem solved for me I am very trapped at this moment. finding the electric force is easy but I cannot see how to find the mass because the fg is depended on the mass to calculate so if I do a force chart and set the sum of the forces in the y to Fe-Fg=ma with fg=-(mg) makes me stuck i need some assistance in how to actually work this problem like what correlation am I not seeing because the answer alone does not help me.
Thank you[/B]
 
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It is not clearly stated, but I think the balloon is in equilibrium here, so you know its acceleration.
 
mfb said:
It is not clearly stated, but I think the balloon is in equilibrium here, so you know its acceleration.
oh I forgot to add that the question lists the acceleration which was 1.5m/s/s toward the rod. what it wants me to find is the mass of the balloon using the charges listed and the distance between the two objects and somewhere in there using the acceleration I am just completely stumped on how to find the Fg in order to calculate the mass.
 
Oh, okay.

Fine, you can still use Fe-Fg=ma. Plug in Fg and Fe you found (you don't have a numerical value for Fg yet, but that does not matter), you also know a, so the mass is the last unknown variable in the equation.
 
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