00:01
Okay, we have two objects, a sphere and a block, going down an inclined plane.
00:07
So, inclined plane, here's our sphere, and here's a block.
00:15
And just pretend they start at the same point on the slope.
00:21
So they both have the same mass m, and the sphere rolls without slipping, which will be to the bottom of the ramp first.
00:32
Okay, one important connection we're going to.
00:37
We're going to draw here is whichever is going fastest once it reaches at the bottom will reach the bottom first so the fastest at bottom reaches the bottom first that may seem obvious but it's an important connection so whichever one is going whichever one is going fastest once it reaches the bottom is the one that will have reached the bottom first right that that should make sense so we just want to figure out which one is going to be the fastest at the bottom.
01:21
Let's look at energy.
01:23
This is what this problem is all about, energy.
01:26
So they're going to start from the same height, h.
01:29
And they're going to end at the same point.
01:33
So we want to look at the energy up here at the top.
01:40
We're going to call that the initial point and the energy at the bottom.
01:43
That's the final point.
01:48
Okay.
01:49
So what energy do they have? initially, i'll do these in red and green, ball, and block...