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Mage Hand and Trap Avoidance
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<blockquote data-quote="kigmatzomat" data-source="post: 9605086" data-attributes="member: 9254"><p>You are not going to like the answer. It's why simulationists get headaches. You see the answer is greater than 11.6lbs but less than infinity.</p><p></p><p>I won't make everyone look at math. </p><p></p><p>[Spoiler]</p><p>So why 11.6 - infinity? Force is mass x acceleration. So the amount of Force It depends on how much acceleration it can impart. And how fast that thing was moving when it started, as it will need to accelerate/decelerate it appropriately.</p><p></p><p>Pounds are actually a unit of force, not mass. An object that, at rest, exerts 10lbs of force on a scale masses 0.31 slugs (imperial unit of mass) or 4.5kg (metric unit of mass)</p><p></p><p>For simplicity we'll assume continuous acceleration of an object that started at rest. The spherical cow of basic physics. May Newton guide my hand.</p><p></p><p>from d = 0.5(a)t^2 we get 30ft=0.5a(6s^2) => 1.67ft/s^2</p><p>::: 0.31 slug x (32.2ft/s^2 / + 1.67ft/s^2 ) = 11.6lbs</p><p></p><p>But wait! This is a floor! The actual force can be more! What if you catch a 0.31slug/4.5kg object that is falling? What if it got dropped last round and this round you are going to catch it with Mage Hand and then lift it 30ft?</p><p></p><p>the initial velocity will be v = at where a is gravity so 32.2ft/s^2 x 6s => -193ft/s</p><p>d=0.5at^2 ‐vt</p><p>30ft =a18s^2 -1158ft</p><p>66ft/s^2 = a</p><p>:::0.31slug x a=21lbs</p><p></p><p>Repeat up to v= terminal velocity.</p><p></p><p>but...this assumes a bit of "bounce" as the hand goes down on impact, then rises up. what if the hand is already at 30ft and can't move away? There's nothing saying anything can "push" a mage hand. More massive things just pass through. Less massive things...??</p><p></p><p>In that case you can convert the kinetic falling energy to force, that is e=F d, where f is the force and d is the distance the force is applied.</p><p></p><p>Except....if the hand isn't directed to move.....is the distance ~0? </p><p>Because if so, for e>0, F would approach infinity. </p><p>so...between 11.6lbs and infinity.</p><p>[/spoiler]</p><p></p><p>Wheee!</p></blockquote><p></p>
[QUOTE="kigmatzomat, post: 9605086, member: 9254"] You are not going to like the answer. It's why simulationists get headaches. You see the answer is greater than 11.6lbs but less than infinity. I won't make everyone look at math. [Spoiler] So why 11.6 - infinity? Force is mass x acceleration. So the amount of Force It depends on how much acceleration it can impart. And how fast that thing was moving when it started, as it will need to accelerate/decelerate it appropriately. Pounds are actually a unit of force, not mass. An object that, at rest, exerts 10lbs of force on a scale masses 0.31 slugs (imperial unit of mass) or 4.5kg (metric unit of mass) For simplicity we'll assume continuous acceleration of an object that started at rest. The spherical cow of basic physics. May Newton guide my hand. from d = 0.5(a)t^2 we get 30ft=0.5a(6s^2) => 1.67ft/s^2 ::: 0.31 slug x (32.2ft/s^2 / + 1.67ft/s^2 ) = 11.6lbs But wait! This is a floor! The actual force can be more! What if you catch a 0.31slug/4.5kg object that is falling? What if it got dropped last round and this round you are going to catch it with Mage Hand and then lift it 30ft? the initial velocity will be v = at where a is gravity so 32.2ft/s^2 x 6s => -193ft/s d=0.5at^2 ‐vt 30ft =a18s^2 -1158ft 66ft/s^2 = a :::0.31slug x a=21lbs Repeat up to v= terminal velocity. but...this assumes a bit of "bounce" as the hand goes down on impact, then rises up. what if the hand is already at 30ft and can't move away? There's nothing saying anything can "push" a mage hand. More massive things just pass through. Less massive things...?? In that case you can convert the kinetic falling energy to force, that is e=F d, where f is the force and d is the distance the force is applied. Except....if the hand isn't directed to move.....is the distance ~0? Because if so, for e>0, F would approach infinity. so...between 11.6lbs and infinity. [/spoiler] Wheee! [/QUOTE]
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