(Originais Teachy 2023) - Question Medium of Physics

An engineer is designing a metal component that will be used in a car engine, and temperature variations during engine operation are a concern. The component has a central hole that needs to maintain its proper size. The metal part has a linear expansion coefficient of 11x, and the diameter of the hole is initially 8 mm at 20ºC. The component can reach a maximum temperature of 120ºC due to engine operation. Determine: (a) what will be the linear expansion of the hole when the component reaches the maximum temperature of 120ºC, considering the mentioned initial temperature; (b) the final diameter of the hole at 120ºC; (c) report if there will be assembly problems, considering that the shaft designed to pass through the hole has a maximum diameter of 8.10 mm, and that the expansion of this shaft is negligible.