I'm currently having this discussion with someone, and I'm sure there's some physics involved somewhere, but I'll be fucked if I can explain it properly.

We're talking mechanical grip/slip angles/tractive effort etc, and he is claiming that if you take two identical cars one with more power, with the the same weight, tyres, suspension etc - that the more powerful car will be able to corner faster thanks to being able to apply more power post-apex.

I'm trying to limit his argument by suggesting that power aside, the cornering speed is always goverened by the slip angle of the tyre......

What are the physics involved and why?