Man in a Balloon Homework: Velocity & Movement

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In summary, a man with mass m hangs from a rope from an air balloon with mass M. The air balloon is stationary relative to the ground. The question is what the velocity and direction of the balloon will be when the man starts climbing the rope with a velocity v relative to the rope. The relevant equations are unknown. The system is considered closed with no external forces, therefore the velocity and direction of the balloon will not change.
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VitaX
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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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  • #2
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:​
 

FAQ: Man in a Balloon Homework: Velocity & Movement

What is the concept of velocity?

Velocity is a measure of how quickly an object's position changes with respect to time. It is a vector quantity, meaning it has both magnitude and direction. In the context of "Man in a Balloon Homework", velocity refers to the speed and direction at which the balloon is moving through the air.

How is velocity calculated?

The formula for calculating velocity is velocity = displacement / time. This means that velocity is equal to the change in an object's position (displacement) divided by the time it takes for that change to occur. In terms of the "Man in a Balloon Homework", you would need to know the balloon's starting and ending positions, as well as the time it took to travel between those positions, in order to calculate its velocity.

What is the difference between velocity and speed?

Though often used interchangeably, velocity and speed are actually two different concepts. While velocity takes into account both the magnitude and direction of an object's movement, speed only measures the magnitude. In other words, velocity specifies not just how fast an object is moving, but also in what direction it is moving.

How does air resistance affect the velocity of a balloon?

Air resistance, also known as drag, is a force that opposes the motion of an object through the air. In the case of a balloon, air resistance will act in the opposite direction of the balloon's movement, slowing it down. This means that as a balloon rises higher into the atmosphere, where there is less air resistance, its velocity will increase.

Can velocity change over time?

Yes, velocity can change over time. This is known as acceleration. Acceleration is a measure of how much an object's velocity changes in a certain amount of time. In the context of "Man in a Balloon Homework", acceleration may occur if the balloon changes direction or if its speed increases or decreases.

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