A person standing at the top of a cliff whirls a stone at the end of a string in a horizontal circle. The stone is released at a point 20.0 m above the base of the cliff and lands a horizontal distance X from the base. X is thirty times the radius of the circle on which the stone is whirled.

Determine the angular speed of the stone at the moment of release.

Starting from rest, two skaters, a 54 kg woman, and an 88 kg man push off against each other on ice where friction is negligible.

The woman moves away with a speed of +2.5 m/s.
Find the recoil velocity of the man.