Sandbag dropped from balloon - find final velocity

In summary, the conversation involves a hot-air balloon ascending at a constant vertical speed of 2.50 m/s in a 1.10 m/s horizontal wind. After reaching a height of 205 m, the balloonist maintains constant altitude for 10.0 s before releasing a sandbag. The horizontal displacement of the balloon is 190 m, the sandbag lands 180 m from the launch site, it takes the balloon 82 s to reach the 205 m height, and the final velocity of the sandbag is 6.018 m/s. The results were determined using equations and calculations.
  • #1
Chupu
3
0
1. Experiencing a constant horizontal 1.10 m/s wind, a hot-air balloon ascends from the launch site at a constant vertical speed of 2.50 m/s. At a height of 205 m, the balloonist maintains constant altitude for 10.0 s before releasing a small sandbag. What is the horizontal displacement of the balloon? How far from the launch site does the sandbag land? How long it takes the balloon to reach the 205 m? What is the final velocity of the of the sandbag?

Thank you guys :)
 
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  • #2


My guesses are the

horizontal displacement: 190m
how far from launch site: 180m
the balloon took: 82s
the final velocity: 6.018m/s
 
  • #3


Why guess? All of these things are exactly knowable. What equations did you use for each result?
 

1. What is the purpose of dropping a sandbag from a balloon?

The purpose of dropping a sandbag from a balloon is to study the effects of gravity on objects as they fall towards the ground. This can also be used to calculate the final velocity of the sandbag when it reaches the ground.

2. How does the height of the balloon affect the final velocity of the sandbag?

The higher the balloon is, the longer the sandbag has to accelerate towards the ground. This means that the final velocity of the sandbag will be greater when dropped from a higher height compared to a lower height.

3. What factors can affect the final velocity of the sandbag?

The main factors that can affect the final velocity of the sandbag are the height from which it is dropped, the mass of the sandbag, and the presence of air resistance. Other minor factors can include the shape and size of the sandbag.

4. How can the final velocity of the sandbag be calculated?

The final velocity of the sandbag can be calculated using the equation v = √(2gh), where v is the final velocity, g is the acceleration due to gravity (9.8 m/s²), and h is the height from which the sandbag is dropped.

5. What are some potential applications of this experiment?

This experiment can be used to study the principles of gravity and motion, as well as to calculate the final velocity of falling objects. It can also be applied to real-life scenarios such as determining the speed of a falling object or predicting the impact force of a falling object on a surface.

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