/sci/ - Science & Math

>>9909708
>gravity is applying more force
An acceleration is not a force. You are applying resistance to an acceleration.

>>9909708
Don't overexert yourself op

>>9909708
The balls will go the same distance.
[math]Pe = mgh[/math]
[math]Ke = 1/2mv^2[/math]
[math]Re = 1/2Iw^2[/math]

Energy at the start of the ramp = energy at the end of the ramp
[math]mgh = 1/2mv^2+1/2Iw^2[/math]
[math]2mgh = mv^2+Iw^2[/math]
[math]v = 2gh-Iw^2[/math]
Because [math]m,g,h,I,[/math] and [math]w[/math] are the same in both cases, the velocities at the end of the ramp will be equal.

>>9909863
Small mistake. Correction:

[math]v = \dfrac{2mgh-Iw^2}{m}[/math]

>>9909870
REEEEEEE
[math]v = \sqrt{\dfrac{2mgh-Iw^2}{m}}

I... I don't know what to say at this point

[math]v = \sqrt{\dfrac{2mgh-Iw^2}{m}}[/math]

>>9909863
they will have the same velocity at the bottom of the ramp but ball B will roll 20" further in total because its ramp is longer

>>9909863
What? No. The ball on A will hit the floor with more force since the angle it's hitting the floor with is bigger than B. B would go the furthest.

OP here. But when Ball A hits the ground the acceleration from gravity is stopped. But when Ball B hits the ground it will have more built inertia?
I dont really know, but this can be easily tested.

Also what is you make ball B roll down the minimum angle required to make the ball roll.

OP here again. Would the mass of the ball change anything? like a ping pong ball? but I guess thats just the air interfering with it....do you think if you run this in a vacuum you would get different effects?

>>9909946
>>9909952
What if the B wedge was billions of miles long but still slanted enough to let the ball keep rolling? It would surely go further. Its energy becomes lost due to the loss of momentum which is transferred to the medium by which it travels (the floor) and of course the acceleration of gravity . By creating a large wedge the ball will conserve its momentum, but the acceleration of gravity is still being applied to it.

Similar to how a Euler disk conserves its energy with angular momentum. Instead of succumbing to gravity completely, it oscillates as to in turn, have the acceleration of gravity applied disproportionately to it, if that makes any sense.

>>9909863
why does the text look like pic related? It looks like a script that isn't being loaded properly.