3 ms·
> > they are both shedding energy at the same rate per unit distance. > Interesting (and I think very reasonable) first-order assumption. Really? That trigger
by Karellen 3y ago
> > they are both shedding energy at the same rate per unit distance.
> Interesting (and I think very reasonable) first-order assumption.
Really? That triggered alarm bells in my head immediately. I mean, it might be true, but I'd need to do the math to figure it out one way or another.
> the calculation could assume the braking force is proportional to velocity, which I think is roughly true of friction generally
Again, not my intuition at all. I'd have gone with the braking force being constant at non-zero velocity. (And force is variable up to the limit of static friction when at zero velocity.)
- calfuris 3y agoYour intuition about braking force matches the thing that triggered alarm bells in your head: work = force x distance, so if the force is approximately constant the kinetic energy dissipated will be approximately constant per unit distance.