Object falls from the OUTSIDE of a loop

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SUMMARY

An object at rest at the top of a loop with a radius of 10 cm slides down the outside and separates from the loop. To determine the distance x from the loop where the object lands, one must apply equations of motion and conservation of energy principles. The key equations include the gravitational potential energy at the top and the kinetic energy at the point of separation. The solution involves calculating the object's velocity at the separation point and using projectile motion to find x.

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1. An object is at rest at the TOP of the OUTSIDE of a loop. The radius of the loop is 10 cm. It begins to slide along the outside of the loop. It will obviously separate from the loop and then it lands x distance from the loop. What is x?
2. Equations of motion and conservation of energy equations may be used. Other equations may be used as well.
3. I do not know where to go from here.
 
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