飞艇能进入太空吗？2023年数模美赛B题

飞艇能进入太空吗？2023年数模美赛B题

预报题目，作为训练模拟。

Can airships enter space? 

        The airship is a lighter aircraft than the air. The biggest difference between it and the hot-air balloon is that it has the device to propel and control the flight state. The airship is composed of a large streamlined hull, a pod under the hull, a tail surface for stability control and a propulsion device.

          The airbags of the hull are filled with buoyant gas (hydrogen or helium) with less density than air to generate buoyancy to lift the airship. The pod is used for people to ride and load goods. The tail surface is used to control and maintain the stability of heading and pitch. Large civil airships can also be used for transportation, transportation, entertainment, disaster relief, film and television shooting, scientific experiments, and so on. For example, in the event of a natural disaster, if the communication is interrupted, a buoy can be launched quickly. Through the buoy carrying the communication transponder, the mobile communication recovery of the entire disaster area can be completed in a very short time.

Please design the airship according to the following requirements:

1) The airship has a mass of 100kg, and the air bag is filled with hydrogen. Calculate how many cubic meters of hydrogen are needed.

2) If the airship mass changes, how does the volume of hydrogen in the air bag change?

3) If it is filled with other kinds of gas, how to design the airship.