[QUE/ME-12013] ME-PROBLEM

A mass is attached to the end of a string. The mass moves on a frictionless table, and the string passes through a hole in the table (see Figure P.1.9), under which someone is pulling on the string to make it taut at all times. \hfill \GetQSource

• Is the angular momentum of the mass conserved in this problem? Is energy of the mass conserved? Explain your answer.
• Initially, the mass moves in a circle, with kinetic energy \(E_0\). The string is then slowly pulled, until the radius of the circle is halved. How much work was done?