How to Calculate the Weight of Cold Air Displaced by a Hot Air Balloon
What is the weight of the cold air displaced by the balloon and its basket?
To solve this problem, we can use the principle of buoyancy, which states that the buoyant force on an object is equal to the weight of the fluid displaced by the object.
In this case, the hot air balloon and its basket are displacing a certain amount of cold air to generate lift. Let's call the weight of the cold air displaced "W". We want to find the value of "W" with the principle of buoyancy.
Answer:
The weight of the cold air displaced by the hot air balloon and its basket is 12300 N.
When dealing with the weight of cold air displaced by a hot air balloon, we need to consider the total weight of the hot air balloon and its basket along with the hot air inside. By using the principle of buoyancy and setting up the necessary equation, we can calculate the weight of the cold air displaced.
Principle of Buoyancy:
The principle of buoyancy states that the buoyant force on an object is equal to the weight of the fluid displaced by the object. In the case of a hot air balloon, it generates lift by displacing a certain amount of cold air.
Calculation Process:
First, we calculate the total weight of the hot air balloon and its basket plus the hot air inside:
Total weight = weight of balloon + weight of basket + weight of hot air
Total weight = 300 N + 17000 N
Total weight = 17300 N
Next, we calculate the total lift capacity of the hot air balloon:
Total lift capacity = lift capacity of balloon
Total lift capacity = 5000 N
Since the hot air balloon generates lift by displacing an amount of cold air equal to its total weight minus its lift capacity, we can set up an equation:
W = Total weight - Total lift capacity
W = 17300 N - 5000 N
W = 12300 N
Therefore, the weight of the cold air displaced by the hot air balloon and its basket is 12300 N. By understanding and applying the principle of buoyancy, we can calculate and determine the weight of cold air displaced with confidence.