How Does Emptying Sand Affect a Balloon's Acceleration?

AI Thread Summary
The discussion centers on calculating the upward acceleration of a balloon after it loses mass by emptying a bag of sand. Initially, the balloon, with a total mass of 1200 kg, is in equilibrium, balanced by the upthrust force. Once the 100 kg of sand is released, the balloon's mass decreases to 1100 kg, while the upthrust remains unchanged. The key equation to use is F=ma, where the net force acting on the balloon determines its acceleration. The balloon's weight must be calculated to find the new acceleration after the sand is emptied.
Izzybee
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Homework Statement


A balloon with an attached basket and a total mass of 1200 kg is hovering at an altitude of 500m. A bag containing 100kg of sand is emptied over the side of the basket. Find the upward acceleration of the balloon after the sand has been poured out.


Homework Equations



F=ma

The Attempt at a Solution



I have no clue how to start this equation or solve it! Please help!
 
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The balloon had enough upthrust to keep its own weight in equilibrium. When some of the mass is lost it still has the same upthrust. What then is the acceleration?
 
9.8?
 
Izzybee said:
9.8?

What does this mean?

The balloons weight is balanced by the upthrust at first. Therefore the upthrust is equal in magnitude to the balloons weight. What is the balloons weight?
 

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