Q1. A jewel thief hides a diamond by placing it on the bottom of a public swimming pool. He places a circular raft on the surface of the water directly above and centered over the diamond. If the surface of the water is calm and the pool is h = 1.52 m deep, find the minimum diameter of the raft that would prevent the diamond from being seen.
Q2.A 18.00 kg lead sphere is hanging from a hook by a thin wire 3.60m long, and is free to swing in a complete circle. Rapidly it is struck horizontally by a 7.00kg steel dart that embeds itself in the lead sphere. What should be the minimum initial speed of the dart so that combination makes a complete circular loop after the collision?