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Can We Turn Earth Into a Spaceship?

Beautiful isn't it? The only home we've ever known. But what if the only way to save the Earth was to push it somewhere else? Could we do that? Let's get technical. It is freezing out here. (upbeat music) Life, as we know it, dependson two million septillion kilograms of mostly hydrogen and helium that forms an almost perfect sphere that we humans call the sun. And because we are sodependent on the suns energy, life on Earth has a time limit. In a little over seven billion years, the sun will have burnedthrough enough of its hydrogen and helium fuel that it'll move into another stage of itslife, the red giant stage, and expand so much so that the Earth and all the inner planets will be consumed by just its radius. And that, as they say, will be that.

How could we escape such a scorching fate? Well that is the centralquestion in the novella and recent Chinese blockbuster,"The Wandering Earth". And that story's solution is to construct thousands of rocketstaller than Mount Everest and just push Earth toanother solar system. This would get us out ofthe way of a red giant, but is this even close to feasible? What kind of engineering would this take? Could we make a spaceship Earth? Let's begin with the (humming), let's begin with a simple case. Using rockets to fling theEarth out of the solar system.

The Earth goes around the sun more or less in a circle because we aregravitationally bound to it. To change where or how theEarth was orbiting then, something would have to fight against this constant gravitational force and add energy to the entire system. We are now describinggravitational potential energy and the more we wanted tomove something like a planet through a gravitational field away from a gravitational influence,like giving it a larger orbit, the more energy we would have to put in. But just how much energywould we have to put into the Earth's orbit in order to fling it out of the solar system? Well, if we gave the Earthenough kinetic energy to equal or exceed thegravitational influence of what it's bound tothe sun, by say changing its velocity, it's orbitwon't just increase and get larger, it willjust fly off into the cosmos never to return, always slowing down, but never falling all the way back into the suns gravity well.

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solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions phelix info solutions So let's set gravitationalpotential energy and kinetic energy equal toeach other and do the math. We know the mass of theEarth, the mass of the sun, how far the Earth and sunare apart from each other, and we know Newton'sgravitational constant. So if we solve for V here, wecan get the escape velocity from an Earth-like orbit. Do this and you get anescape velocity for Earth from the sun of 42 kilometers per second, an absolutely blisteringspeed that could take you, for example, from New York to Los Angeles in just 95 seconds.

The good thing though,is that we do not need to get Earth moving at this ludacris speed because we're already movingat an absolutely crazy clip. Do you feel like you're moving right now? Well probably not, butyou've always been moving. Since you were born everysingle molecule of you has been absolutely racing around the sun. And because of this, you've never felt it. Earth's orbital velocityis already a substantial 30 kilometers per second around the sun. And so if we wanted to pushEarth out of the solar system all at once, we wouldn'thave to add 42 kilometers per second, we'd only haveto add the difference, around 12, and then Earth would be on its way to Alpha Centauri. However, because the planin "The Wandering Earth" specifically, an understandable plan, is to slowly push the Earthout of the solar system over the course ofdecades, we need to change the Earth's velocity by a lot more than 12 kilometers per second. In a slow, constantspiraling outwards burn for example, where the sunis always pulling on you the entire time, youneed to instead exchange all of this orbitalvelocity and kinetic energy for potential energy.

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