Man in a Balloon Homework: Velocity & Movement

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The problem involves a man climbing a rope attached to a stationary balloon, creating a closed system with no external forces acting on it. When the man climbs with velocity v relative to the rope, the balloon will experience a reaction, causing it to move in the opposite direction. The system's total momentum remains constant, which is crucial for determining the balloon's velocity. Once the man stops climbing, the system will stabilize, and the balloon will return to its original position. Understanding the principles of conservation of momentum is key to solving this problem.
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Homework Statement



a man with mass m hangs from a rope from an air baloon with mass M. the air baloon is not moving with respect t the ground.
In what direction and what is the magnitude of the velocity to the balloon if the man starts climping the rope with a velocity v with respect to the rope?
What happens with the movement of the system when the man stops climing?

Homework Equations



Not sure what equations are relevant

The Attempt at a Solution



I have no idea how to approach this, if anyone could give me some hints on how to solve this, that would be great.
 
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Hi VitaX! :smile:

The man-and-balloon is a closed system with no external forces (or to be precise the extrernal forces are gravity and air pressure, and they balance out to zero) …

soooo … ? :wink:
 
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