Shown below is a small ball of mass m attached to a string of length a. A small peg is located a distance h below the po

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Shown Below Is A Small Ball Of Mass M Attached To A String Of Length A A Small Peg Is Located A Distance H Below The Po 1 (55.72 KiB) Viewed 30 times

Shown below is a small ball of mass m attached to a string of length a. A small peg is located a distance h below the point where the string is supported. The ball is released when the string is horizontal, and we want to locate the peg in such a way that the ball swings completely around the peg. a Image Description T Peg Answer in terms of given quantities, m, a, h, and/or gravitational constant g. Hints a. Is the energy conserved in this process throughout? O Yes. O No. O Not enough information given. b. Considering the geometry, what is the speed of the ball when it is directly above the peg, as it swings around the peg? Assume that the ball has enough energy to reach that position with the string taut. The speed directly above the peg is c. What is the minimum speed Umin the ball needs to have so that the string remains taut (or barely taut) when the ball is directly above the peg as it swings around the peg? This minimum speed will vary as a function of parameters, such as a and h. The minimum speed Umin is d. Considering your answers to (b) and (c) above, what is the smallest value of h that would allow the ball to swing completely around the peg? The smallest value of h that allows the ball to swing completely around the peg is