Physics Help

Question

A bead slides without friction around a loopthe-loop. The bead is released from a height of 11.6 m from the bottom of the loop-theloop which has a radius 3 m. The acceleration of gravity is 9.8 m/s 2 . What is its speed at point A ? Answer in units of m/s

Answer 1

Bead falls m from the bottom of the loop.

Radius of the loop is m.

It slides around and rises to top of the loop.

Thus, in the loop it travels  distance.

The difference in elevation between the start and top of the loop is m.

Initially bead has the potential energy and that elevation difference is converted to Kinetic Energy.

Kinetic energy .

Law of conservation of energy: PE = KE.

.

Speed a the point A is 10.48 m/s.