A 15-kg ball of radius 4.0 cm is suspended from a point 2.94 m above the floor by an iron wire of unstretched length 2.85 m. The diameter of the wire is 0.090 cm, and its Young’s modulus is 180 GPa. If the ball is set swinging so that its center passes through the lowest point at 5.0 m/s, by how much does the bottom of the ball clear the floor? Discuss any approximations that you make.