6D504ABF-CF95-4577-82DD-4C9621617A7C.jpeg - Down Page < 3 of 3 z Physics 1A Solution 4 Problem 6 Swinging around a peg a Using conservation of energy W

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Unformatted text preview: &amp; Down Page &lt; 3 of 3 z Physics 1A Solution 4 November 11, 2019 Problem 6: Swinging around a peg a) Using conservation of energy: W = APE + AKE 0 = mg ( -1) + m 2 v = V2gl b) The radius of the peg is r = 1 - h. At the top of the circular path around the peg, the height of the ball is Ay = 1-2r =1-2(1- h) = 2h -l. So, if h = 0.81, the change in height is Ay = 0.61. Using conservation of energy: W = APE+ AKE 0 = mg ( - Ay ) + m ? v = V2gAy = V2g(2h - 1) = V1.2gl c) If the ball barely makes it around the peg, at the very top its acceleration must be completely due to gravity because the string would have no tension. Therefore, g = v2/r = v2/(1-h). Again using conservation of energy: W = APE + AKE 0 = mg( - Ay) +m? = -mg(2h - 1) + mg(1 - h) 2 0 = -(2h - 1 ) + 5 (1 - h) =; 30 ... MacBook Pro C Q Search or type URL + &amp; B 6 9 O E R T Y U O P F G H K...
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