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ICER 02-08-2006 08:20 AM

physics questions.
 
Velocity times momentum does or does not equal acceleration?

please explain why.

ratbastid 02-08-2006 09:01 AM

Velocity times momentum only equals accelleration in the film The Ice Princess.

Accelleration is delta-v, change in velocity. It's expressed as a force, distance over time over time. Gravity, for instance, accellerates bodies at 9.81 meters per second per second, or 9.81 m/s^2.

BadNick 02-08-2006 09:02 AM

Maybe I'm missing something since it seems straightforward:
mom = mass X vel
vel X mom = mass X vel2 ....vel2 = velocity squared
acc = vel/time
"obviously" (vel/time) does not equal (mass X vel2)

ICER 02-08-2006 11:12 AM

OK here's I read it....
Velocity (speed imparted to something) + Momentum (strength or force gained by motion or through the development of events) = acceleration (rate of change of velocity with respect to time)

Now, if your a skater moveing along the ice (Velocity) and you do an action (Momentum) = you gain speed (acceleration)

Am I reading it wrong? or am I writing to much into the equation?

Pip 02-08-2006 12:15 PM

Momentum is just mass times velocity. It means it will hurt much more getting hit by a heavy guy running into you than by a tiny guy even though they run at the same speed, because the bigger guy has greater momentum. I think you might be looking for F=m*a, where F is the force, or "action" in your case, the action of pushing off against the ice or something. And the heavier you are, the harder you must push to get the same acceleration.

stingc 02-08-2006 02:12 PM

I don't know what you're talking about, ICER. The units aren't even correct. Maybe you're looking for dp/dt=ma?

KnifeMissile 02-08-2006 04:17 PM

Quote:

Originally Posted by ICER
Velocity times momentum does or does not equal acceleration?

please explain why.

Quote:

Originally Posted by ICER
OK here's I read it....
Velocity (speed imparted to something) + Momentum (strength or force gained by motion or through the development of events) = acceleration (rate of change of velocity with respect to time)

Now, if your a skater moveing along the ice (Velocity) and you do an action (Momentum) = you gain speed (acceleration)

Am I reading it wrong? or am I writing to much into the equation?

It looks like you're trying to intuit the situation without even the vaguest understanding of it. As stingc has pointed out, the dimensions (or units) aren't even correct.

So, to answer your question (in case it's not clear, already), no. Velocity times momentum does not equal acceleration.

The derivative of momentum with respect to time divided by mass equals acceleration. Does this clear things up?

ICER 02-09-2006 06:14 AM

Quote:

Originally Posted by KnifeMissile
It looks like you're trying to intuit the situation without even the vaguest understanding of it. As stingc has pointed out, the dimensions (or units) aren't even correct.

So, to answer your question (in case it's not clear, already), no. Velocity times momentum does not equal acceleration.

The derivative of momentum with respect to time divided by mass equals acceleration. Does this clear things up?

Completely, thank you KnifeMissile. and just for the record I do have a vague understanding of the problem, but just enough to be dangerous.

Thanks for the help folks.


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