- #1

beetlegauss

- 6

- 0

Suppose that you are standing on a train accelerating at 2.0m/s^2. What minimum coefficient of static friction must exist between your feet and the floor if you are not to slide?

I've drawn a free body diagram, and motion in the Y dimension doesn't really matter.

In the X dimension, I THINK there are 2 forces: Force of the train, and Force of friction. What I've come up with is this:

Fnetx=0 (Since I'm not accelerating in relation to the train itself. I'm hoping this assumption is right, or everything else is wrong.)

Fnetx=Ft-Ff

Ft=Ff

Ff=9.8mu, and Ft=2m (This is where I'm getting sketchy. Is the force of the train on the person the same as acceleration x the persons mass?)

9.8m/2m=u

u=.2

I'm basically posting to verify my answer, since I'm not entirely sure if the route I took to get to it was right. Thanks for reading!