A ball is attached to a horizontal cord of length L whoseother end is fixed, Fig

Question

A ball is attached to a horizontal cord of length L whoseother end is fixed, Fig. 6-41. Figure 6-41 (a) If the ball is released, what will be its speed atthe lowest point of its path? (Answer using g foracceleration due to gravity and L as necessary.) 1Click here to preview your answer.Your answer is correct. (b) A peg is located a distance h directly below the pointof attachment of the cord. If h = 0.82 L, what will be the speed of theball when it reaches the top of its circular path about thepeg? 2Click here to preview your answer.Your answer is incorrect. I cannot figure out the second question :(

Explanation / Answer

I will only do b) b) since energy is conservated. at beginning, E0 = mgL when the ball reach top of its circular path about the peg,let its speed be v, the energy is: E1 = (1/2)mv2 + mg[2*(L-h)] E0=E1 =>mgL = (1/2)mv2 + mg[2(L-h)] =(1/2)mv2 + 2mgL-2mgh =>v = [4gh - 2gL] = [1.28gL]

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