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General Tabletop Discussion
*Dungeons & Dragons
Levitate is a save-or-die spell
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<blockquote data-quote="Xetheral" data-source="post: 7993673" data-attributes="member: 6802765"><p>Hmm. We know a mage hand can produce at least 10 lbs of force. If we assume the Earth is a valid target for mage hand because it is weightless, the spell should be able to deliver at least 10 lbs of force to the Earth. Converting to metric, that's 44.5 N. Pushing the Earth into the sun requires imparting roughly 30 km/s to the Earth. The formula to calculate how long it would take to accelerate the Earth by 30 km/s is:</p><p></p><p>(time force applied)=(desired velocity change)*(Earth's mass)/(force applied)</p><p></p><p>Plugging in all the values we get: (time force applied)=(30 km/s)*(5.97*10^24 kg)/(44.5 N)=1.28*10^20 years.</p><p></p><p>That's about 128 quintillion years. The Earth will collide with the Sun much sooner than that when the Sun starts expanding into a red giant, which suggests that your efforts are futile.</p><p></p><p>But wait! Colliding with the outer edge of the Sun becomes easier as the Sun starts to expand in about 5.4 billion years. Maybe you can speed up the engulfing processing by pushing the Earth into an orbit that intersects the expanding Sun sooner? Let's find out.</p><p></p><p>In 5.4 billion years of applying 44.5 N of force to the Earth, you can change it's velocity by:</p><p></p><p>(44.5 N)/(5.97*10^24 kg)*(5.4 billion years)=1.27*10^-6 m/s</p><p></p><p>Rats! That's not enough to make an appreciable change in the Earth's orbit. So, tragically, your threat to shove the Earth into the Sun with Mage Hand is toothless. You can't meaningfully speed up the inevitable collision. <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f641.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":(" title="Frown :(" data-smilie="3"data-shortname=":(" /></p><p></p><p>You might have better luck if you campaign world is much less massive than Earth (about 7 orders of magnitude), and orbits (at the same distance as Earth) a red dwarf that will last 10 trillion years or so, giving you a longer window to push with mage hand. Sadly, that campaign world would be utterly frozen since it would orbit far outside the red dwarf's habitable zone. If you're serious about pursuing this idea, I recommend the 3.5 sourcebook "Frostburn".</p></blockquote><p></p>
[QUOTE="Xetheral, post: 7993673, member: 6802765"] Hmm. We know a mage hand can produce at least 10 lbs of force. If we assume the Earth is a valid target for mage hand because it is weightless, the spell should be able to deliver at least 10 lbs of force to the Earth. Converting to metric, that's 44.5 N. Pushing the Earth into the sun requires imparting roughly 30 km/s to the Earth. The formula to calculate how long it would take to accelerate the Earth by 30 km/s is: (time force applied)=(desired velocity change)*(Earth's mass)/(force applied) Plugging in all the values we get: (time force applied)=(30 km/s)*(5.97*10^24 kg)/(44.5 N)=1.28*10^20 years. That's about 128 quintillion years. The Earth will collide with the Sun much sooner than that when the Sun starts expanding into a red giant, which suggests that your efforts are futile. But wait! Colliding with the outer edge of the Sun becomes easier as the Sun starts to expand in about 5.4 billion years. Maybe you can speed up the engulfing processing by pushing the Earth into an orbit that intersects the expanding Sun sooner? Let's find out. In 5.4 billion years of applying 44.5 N of force to the Earth, you can change it's velocity by: (44.5 N)/(5.97*10^24 kg)*(5.4 billion years)=1.27*10^-6 m/s Rats! That's not enough to make an appreciable change in the Earth's orbit. So, tragically, your threat to shove the Earth into the Sun with Mage Hand is toothless. You can't meaningfully speed up the inevitable collision. :( You might have better luck if you campaign world is much less massive than Earth (about 7 orders of magnitude), and orbits (at the same distance as Earth) a red dwarf that will last 10 trillion years or so, giving you a longer window to push with mage hand. Sadly, that campaign world would be utterly frozen since it would orbit far outside the red dwarf's habitable zone. If you're serious about pursuing this idea, I recommend the 3.5 sourcebook "Frostburn". [/QUOTE]
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Levitate is a save-or-die spell
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