How Does Emptying Sand Affect a Balloon's Acceleration?

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Homework Help Overview

The problem involves a balloon with an attached basket that is initially hovering at a certain altitude. The scenario changes when a bag of sand is emptied from the basket, prompting a question about the balloon's upward acceleration following this event.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are discussing the implications of losing mass from the balloon and how that affects the forces acting on it. There are questions about the relationship between upthrust and weight, as well as the calculation of acceleration.

Discussion Status

Some participants are exploring the concept of equilibrium between the balloon's weight and the upthrust. There is a lack of consensus on the numerical value of acceleration, with some suggesting it might be 9.8, but the context of this value is unclear.

Contextual Notes

Participants are questioning the definitions of weight and upthrust in the context of the problem, and there is uncertainty about how to apply the relevant equations to find the 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!
 
Physics news on Phys.org
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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