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The work done must be equal to 211.4 joules to stop it.What does work mean in physics?In physics, work is defined to be the change in energy of a system. Work is given by the symbol W. In its simplest form, work is equal to force times displacement. The total work of the solid disk is defined to be [tex]W=\frac{1}{2}mv^2+\frac{1}{2}I \omega^2[/tex]. That means the total energy of the solid disk is equal to the linear (translational) and the rotational kinetic energies. I = mr² and v = rω so we can simplify the equation to W = mv².We're given that the mass m is equal to 75.5 kg and the velocity v is equal to 2.8 m/s. We can then calculate the total work as follows:W = mv²W = (75.5) (2.8)²W = 211.4The work required to stop the solid disk is confirmed to be 211.4 joules.Learn more about translational kinetic energy here: https://brainly.com/question/8101588#SPJ4