Calculating Height of Stone Dropped from Rising Hot Air Balloon

  • Thread starter chuckset
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In summary, the distance a stone can be thrown from a balloon depends on factors such as height, angle, and wind speed, with an average distance of 50-100 meters. As the stone is thrown, it will experience gravity, initial throwing force, and air resistance, potentially causing harm if it hits someone. The weight of the stone affects its trajectory, with a heavier stone falling faster and traveling a shorter distance. There is no specific limit to how high a stone can be thrown, but it will eventually reach a point where gravity and air resistance balance out and it will stop gaining altitude.
  • #1
chuckset
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Homework Statement


If a stone is dropped over the side of a hot air balloon that is rising at 3 m/s and it strikes the ground 1.5s later, from what height above the ground was the stone dropped

Would V1 be 3 m/s or 0.. I'm really confused.
 
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  • #2
Both the hot air balloon and the stone will have the same initial velocity, so v1 would be 3 m/s.
 
  • #3
Make sure you know your trajectory equations!
 

Related to Calculating Height of Stone Dropped from Rising Hot Air Balloon

1. How far can a stone be thrown from a balloon?

The distance a stone can be thrown from a balloon depends on various factors such as the height of the balloon, the angle at which the stone is thrown, and the wind speed. However, on average, a stone can travel between 50-100 meters from a balloon.

2. What happens to the stone as it is thrown from a balloon?

As the stone is thrown from the balloon, it will experience a downward force due to gravity. It will also experience a forward force from the initial throwing motion. As the stone moves through the air, it will also experience air resistance, which will slow it down.

3. Can a stone thrown from a balloon hurt someone?

Yes, a stone thrown from a balloon can potentially hurt someone if it hits them. It is important to be cautious when throwing objects from a high altitude as they can gain momentum and cause injury upon impact.

4. How does the weight of the stone affect its trajectory when thrown from a balloon?

The weight of the stone will affect its trajectory when thrown from a balloon. A heavier stone will have a stronger downward force due to gravity, causing it to fall faster. This may result in a shorter distance traveled compared to a lighter stone.

5. Is there a limit to how high a stone can be thrown from a balloon?

There is no specific limit to how high a stone can be thrown from a balloon. However, the higher the balloon, the longer the stone will take to reach the ground due to air resistance. Eventually, the stone will reach a point where the downward force of gravity is equal to the upward force of air resistance, and it will stop gaining altitude.

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