What is the speed at the top of the loop?

A bead slides without friction around a loop the loop. The ball is dropped from a height of 26.4 m from the bottom of the loop-the loop that has a radius of 9 m. The acceleration of gravity is 9.8 m/s2. What is its velocity at the top loop (point A)? Answer in units of m / s.

The cord falls 26.4 m to the bottom of the loop. Rises and then slides around 2 * 9 m at the top of the loop. ===> The difference in elevation between the start and the top of the loop is: 26.4 - 18 = 8.4m This elevation difference is converted into kinetic energy = mgh PE = M * 9.8 m / s ^ 2 * 8.4m = 82.32 MJ KE = 0.5 * MV ^ 2 PE = KE M = 0.5 ^ 82.32 MV 2 (M cancels) ^ 2 = 82.32 V 0.5 V ^ 2 = 164.64 V = 12.83 m / s

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