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The Dresden Files => DF Spoilers => Topic started by: Smaug with OCD on December 25, 2020, 03:35:43 AM

Title: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: Smaug with OCD on December 25, 2020, 03:35:43 AM
In BG, during the fight with the fire giants, LTW flies at one, changing from a hawk to an elephant mid-flight. According to Dresden, he maintains his flight speed while doing this. I'm not really a math and science guy, but my instinct is to say that something is off about that. The easy answer is "magic." But, I was wondering if I was just wrong, or if shenanigans would indeed need to be happening for that conservation of speed to occur?

A minor detail, I know. But, I'm curious.
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: morriswalters on December 25, 2020, 05:12:21 AM
Your instinct is right.  Take the easy answer.  At a minimum it violates the conservation of momentum in some fashion.
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: Mira on December 25, 2020, 02:45:53 PM
Your instinct is right.  Take the easy answer.  At a minimum it violates the conservation of momentum in some fashion.

Yup, magic is the answer..
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: Arjan on December 25, 2020, 03:08:54 PM
Yup, magic is the answer..
Actually you can get mass from the nevernever as explained in skingame. You can temporarily store it there as well if I remember wok correctly.
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: Mira on December 25, 2020, 04:52:04 PM
Actually you can get mass from the nevernever as explained in skingame. You can temporarily store it there as well if I remember wok correctly.

I think more to the point, mastering the changes in mass and speed are part of the skin changer's art.  It could be that shifting atoms from one dimension to another accounts for it, so flying sparrow LTW can instantly become falling two ton elephant LTW.
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: BrainFireBob on December 30, 2020, 08:31:10 PM
Actually you can get mass from the nevernever as explained in skingame. You can temporarily store it there as well if I remember wok correctly.

Yes, but that mass should be created with potential, not kinetic, energy.

From a physics standpoint, the sparrow would slow down as its momentum and kinetic energy is shared with the new mass, which would then begin falling itself.

Of course, if LTW is smooth, he could time the change so that the elephant is nearly still from the extra mass, but so close that its new acceleration from gravity is still a considerable hit.

Or use extra magic to add matching velocity to the new mass as its added, that would also work.
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: Arjan on December 30, 2020, 09:18:14 PM
Because the new mass comes with acceleration included.
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: vincentric on December 31, 2020, 07:02:22 AM
Adding the mass changes acceleration but velocity is maintained. The only acceleration after the change is provided by gravity.
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: BrainFireBob on December 31, 2020, 05:40:11 PM
Adding the mass changes acceleration but velocity is maintained. The only acceleration after the change is provided by gravity.

Mass doesn't change acceleration at all. Momentum needs to be conserved, though, so unless the new mass is already accelerated to match, the same momentum is distributed over more mass, resulting in a slowdown.

EDIT: If you're interested, the relevant equation is the force of gravitation between two bodies.

F=m1a=G*( m1m2)/d^2

This means the acceleration due to the gravitational force is

a=G*m2/d^2

That's invariant from the frame of reference of m1.

Second edit: It's essentially a 100% nonelastic collision
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: vincentric on December 31, 2020, 10:17:28 PM
I did assume the added mass came with matching velocity. It depends on how magic works :)
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: Avernite on January 02, 2021, 05:53:43 PM
Clearly the proper frame of reference is the LtW frame of reference, in which the earth is rapidly approaching LtW. in this frame of reference the mass is just added at zero speed.
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: morriswalters on January 02, 2021, 06:19:38 PM
Einstein has officially rolled over in his grave.
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: Arjan on January 02, 2021, 06:51:17 PM
Einstein has officially rolled over in his grave.
Newton. This is all classical mechanics.
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: KurtinStGeorge on January 03, 2021, 12:39:24 AM
Mass doesn't change acceleration at all. Momentum needs to be conserved, though, so unless the new mass is already accelerated to match, the same momentum is distributed over more mass, resulting in a slowdown.

EDIT: If you're interested, the relevant equation is the force of gravitation between two bodies.

F=m1a=G*( m1m2)/d^2

This means the acceleration due to the gravitational force is

a=G*m2/d^2

That's invariant from the frame of reference of m1.

Second edit: It's essentially a 100% nonelastic collision

Correct, but Jim's description bothered me as well, because from what I've seen a hawk that dives on its prey still has its wings spread out a bit; by which I mean it's not in a complete freefall.  I live in a desert area in Southern Utah and often see hawks making lazy circles in the sky when I go on walks in the morning or if I go on a longer hike in the nearby hills.  They drop pretty damn fast when they dive on something, but they don't drop like a rock and I don't believe that they ever reach terminal velocity.  They control their speed and angle of decent, something an elephant could never do.

If the hawk turns into a elephant an instant; let's say two feet, before it hits the target that won't change anything of significance.  If it happens fifty feet away, then maybe it would.  It would take some math skills beyond mine, but I suppose it could be calculated.  I think even an experienced shape shifter would be hard pressed to be able to make such a calculation on the fly, or in this case, during the fall.   
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: morriswalters on January 03, 2021, 02:55:17 AM
Newton. This is all classical mechanics.
No this is magic. Physics need not involve itself. Jim even uses the fact in Cold Days in Harry's fight with Cat Sith on the boat.
Quote
Sith bounced off me, which was what I had hoped would happen. In my line of work, I’ve dealt with more than one critter that is faster than fast. When they’ve got their feet underneath them, it’s the next-best thing to impossible to land anything on them—but when they’re in the air, they’re moving at the speed gravity and air resistance dictate, like everybody else. For that one portion of a second, Sith was an object moving through space, not a blindingly fast killing machine. Someone who didn’t know that wouldn’t have known to be ready for it.

Butcher, Jim. Cold Days (The Dresden Files, Book 14) (p. 439). Penguin Publishing Group. Kindle Edition.
It's magic and you can't make it work as anything else.
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: Arjan on January 03, 2021, 09:52:01 AM
No this is magic. Physics need not involve itself. Jim even uses the fact in Cold Days in Harry's fight with Cat Sith on the boat.It's magic and you can't make it work as anything else.
Jim uses a combination of magic and Newtonian mechanics here. Both have their function in the story.
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: Bad Alias on January 04, 2021, 03:37:55 AM
They control their speed and angle of decent, something an elephant could never do.
Someone's clearly never seen Dumbo.  ;)
Title: Re: (BG Spoilers) LTW Conservation of Speed w/ Mass Shift
Post by: TrueMonk on January 05, 2021, 09:52:27 AM
When you change from a hawk to an elefant I would say you go from flying to jumping, you can't really steer, but if you aim is good then it is fine.

I guess he could either be projecting his own force to keep the speed the same or be drawing in mass that is already moving, like grapping an apple while driving a bike, from another guy who is also driving a bike.

If Harry takes shape shifting lessons from River Shoulders maybe we will find out which one it is.