Solving Vector Problems in Physics: Hot Air Balloon and Wind Velocity

AI Thread Summary
A hot air balloon is influenced by a wind velocity of 20 km/h to the east, affecting the direction of a flag held by a passenger. The flag will point downwards due to the relative motion of the wind and the balloon's velocity. The surrounding air moves with the balloon, making the flag's position dependent on the passenger's actions. The discussion raises questions about how flags behave in still air and the relevance of the passenger's velocity. Understanding the vector components of wind and balloon motion is crucial for solving this problem.
roxxyroxx
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Homework Statement


A hot air balloon is carried by a wind with a velocity of 20 km/h [E]. If a passenger holds a flag out of the gondola, in what direction will the flag point?


Homework Equations





The Attempt at a Solution


The answer says down but idk why?
 
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I suppose the wind will carry the balloon along at the speed of the wind. Therefore the air surrounding the balloon will be moving at the same speed as the balloon.
 
roxxyroxx said:
If a passenger holds a flag out of the gondola, in what direction will the flag point?
Probably whatever direction the passenger wanted to point it.
 
Which way do flags hang when there is no wind?
 
Is the person traveling equivelocity relevant to the wind in the gondola? Imagine being in a convertible if that helps you picture it intuitively.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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