00:01
What will be the speed of the roller coaster by the time it reaches the bottom? so we have the incline here.
00:09
Let's make this a little bigger.
00:11
We have a mass here.
00:13
Force normal is always perpendicular to the surface of the incline or the surface in contact with the mass.
00:21
Force of friction is always opposite the direction of motion.
00:26
And we have the force of gravity, mg, and theta right here.
00:32
So we can say, first of all, we know that the voluilocyxion.
00:34
Velocity initial equals 6 .0 kilometers per hour and we're going to convert into meters per second so a thousand meters per kilometer and then we can say one hour for every 3 ,600 seconds and this is giving us 1 .667 meters per second.
00:58
At this point we can say that sigma f in the y direction is going to be equal to m a so we can rather there is ma and y, and this is going to be equal to zero because again, there's no, there's no force, there's no motion in the y direction.
01:18
So we can say that force normal equals the y components of gravity, so mg cosine of theta.
01:29
And then we're going to say that sigma f in the x direction equals ma in the x direction...