In outer space two identical space modules are joined

Last updated: 4/25/2023

In outer space two identical space modules are joined together by a massless cable These modules are rotating about their center of mass which is at the center of the cable because the modules are identical see the drawing In each module the cable is connected to a motor so that the modules can pull each other together The initial tangential speed of each module is Vo 19 4 m s Then they pull together until the distance between them is reduced by a factor of eight Each module has a final tangential speed of vf Find the value of Vf