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These problems from the 2014 AP physics b exam, although it is AP physics b it's still appropriate to review this for the AP Physics one mechanics unit this problem is heavily involving mechanics we've got an individual swinging off of a platform let's read the information studying from rest the point a 50 kilogram person swings along on a circular arc from a rope attached to a tree branch over a lake as shown on figure point D is a scene highness point a point D is the same height as pointing the distance from the point of attachment to the center of mass of the person is six point four meters the length of the pendulum we're going to ignore a resistance mass the elasticity of the roof itself what started off on the first swing so the person's good swing back in for two times each time letting go at two difference about her a different spot so the first swing the person lets go of the Rope when they write at point c you want to draw a solid line to represent the trajectory the center of the mass the person releases the room so when they're swinging they start off here pointing the potential energy they're going to get to this bottom spot where their maximum kinetic energy is where they're going to fastest they start to slow down until they get all the way over get a point D where it's once again only potential energy, so they're actually had no motion at Point D I'm going to momentarily stop and come back so if they're swinging forward when they get to Point C me let go at that spot there's still traveling tangent to that path, so they're going to kind of move up a little before they start to fall down in trouble parabolic Lee back here to the water so like green solid line is the answer to a 1 a 2 the second time they go by there you're like oh at Point D instead now they want to draw a dashed line representing the mass I'm sorry represent the trajectory when they let go here and again as I said before at Point D their only potential energy which means they have no emotion so when they let go they're just going to fall straight down so that magenta dashed line is there as the answer to a 2 on the actual exam when this was given this exact part was worth three points so if you could do this you get free of your 15 points where the way so very important here right be the center of mass the person stay in the platform at Point a 4.1 meters above the surface of the water we want to know the gravitational potential energy when they're at Point a relative tuning the person is at the surface Alta so basically what is this potential energy from the platform all the way to the water so ignore the fact that is a little hill over here we're talking about potential energy at a height of 4.1 meters so for my work for be I'm going to do up here I'm going to i like to make a noiseless first, so I'm going to go ahead and say that the mass of the individuals 50 kilograms we know that they have a height of 4.1 meters there's the acceleration due to gravity...
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