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  ChatGPTに「地上10kmを時速1000kmで飛ぶ旅客機が大気圏離脱するのに必要なエネルギー量は？」と聞いてみた。 /usePocket.com

A:The amount of energy required for an airliner flying at 1000 km/h at an altitude of 10 km to escape the atmosphere is about 100,000,000,000 joules, or 27,000,000 British thermal units (BTUs). This is equivalent to the energy released by about 20 tons of TNT.

The energy required to escape the atmosphere is determined by the mass of the object and the speed of escape. The speed of escape is the minimum speed that an object must have in order to escape the gravitational pull of a planet. The speed of escape from Earth is about 11.2 kilometers per second, or 25,000 miles per hour.

The airliner in your example is traveling at 1000 km/h, which is about 223 miles per hour. This is much slower than the speed of escape, so the airliner would not be able to escape the atmosphere on its own. It would need to be boosted to a higher speed, such as by a rocket engine.

The energy required to escape the atmosphere is a significant amount of energy. It is one of the reasons why it is so difficult to send objects into space.

Sure. I used the following formula to calculate the energy required to escape the atmosphere:

Code snippet
E = \frac{1}{2}mv^2
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where:

E is the energy required to escape the atmosphere
m is the mass of the object
v is the speed of escape
The mass of the airliner in your example is about 200,000 kilograms. The speed of escape from Earth is about 11.2 kilometers per second.

Plugging these values into the formula, we get:

Code snippet
E = \frac{1}{2}(200,000 kg)(11.2 km/s)^2
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Code snippet
E = 100,000,000,000 joules
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This is equivalent to the energy released by about 20 tons of TNT.