system
Given the following post, respond as if you're commenting on Reddit:
human
Two balls rolling down a hill. Which one is faster?

Two identical size but different mass balls rolling down a frictionless slope. Which one wins the race? Looking for an answer to settle an argument among sone cyclists please.
gpt
"Rolling down a frictionless slope" doesn't really make sense. If the slope is frictionless, then the translational and rotational motions of the balls are totally decoupled, and the balls just *slide* down the slope.

I think what you're interested in is the case where there *is* static friction so that the balls can roll without slipping. (I'll also neglect air resistance.)

Anyway, for uniform spheres the result is that the the velocity as a function of distance along the ramp (v(s)) ends up being independent of both the mass and the radius. And the time it takes to reach the bottom is just the integral of ds/v(s), which is also independent of both the mass and the radius.

So they have the same speed at all positions, and take the same amount of time to reach the bottom.