Problems 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, and 52 describe a situation. For each, draw a motion diagram, a force-identification diagram, and a free-body diagram. A Styrofoam ball has just been shot straight up. Air resistance is not negligible.

Video transcript

Everyone in this problem, we're asked to draw some diagrams pay for a stone throw that's already in the air vertically upwards, that's experiencing significant air resistance. So the three diagrams were asked to draw. Part one is a motion diagram. Part two is a force identification diagram and part three is a free body diagram. So let's start with part one. We're looking for a motion diagram. So we have our stone, we know it's thrown vertically upwards and it's already in the air and we have some position here. Now we're told that it experiences significant air resistance. So if the stone is already in the air and then the force from the throw is no longer acting on that stone, but we do have significant air resistance and that air resistance is going to slow the stone down. OK. That's an acceleration that's gonna act against the motion to our stone is gonna be getting closer and closer. When we draw this motion diagram for these points, I recall that when we draw a motion diagram, each point kind of represents a point in time. And so if the points are closer together, that means we're moving less distance as the same amount of time goes on, indicating a slower speed. And that's exactly what is happening here. So we are moving upwards and we know that our velocity is upwards, the stone is being thrown upwards, but the acceleration is downwards because of that drag. Now, for part two, we're asked to draw a force identification diagram. OK. So we're gonna call this horse ID. Now for our force identi vacation diagram, we're gonna start with this our stone. We're gonna draw our stone as a circle in an object. We draw a circle in our force identification diagrams and then we're gonna draw any of the forces act. Now we know that we have the acceleration due to gravity that's gonna act on this stone. OK? That acts on any object be threat. And we're told that there's significant air resistance. So we know that we're gonna have the force of drag acting as well and that's gonna act downwards as well opposing that motion. OK? So our force identification diagram shows the object we have this and then the two forces we have back. Now for part three, we wanna drop a free body diagram and this kind of puts it all together. And so if we move down to give ourselves more room, we have our stone drawn as a little dot As our, in our free body diagram, we have two forces acting. We know we have the force of gravity acting downwards and the drag force acting downwards. OK? Just like we had in our force identification diagram. And we're gonna draw them in the format of a free body diagram and that's it for this problem. OK. We have our motion diagram, our force identification diagram and our free body diagram that summarize how this stone is moving. Thanks everyone for watching. I hope this video helped you in the next one.