A platform of mass M-8kg initially at rest can roll without friction. A small block of one-forth of mass, m=M/4 enters the platform with initial velocity v=4.58m/s. The platform is of enough length so that the small block will not fall off on either ends. The kinetic friction force between the small block and the platform's top surface is 3.2 Newton. What distance the platform would have traveled when the small block and the platform reach the same velocity (therefore no more kinetic friction between the two)?

A platform of mass M-8kg initially at rest can roll without friction. A small block of one-forth of mass, m=M/4 enters the platform with initial velocity v=4.58m/s. The platform is of enough length so that the small block will not fall off on either ends. The kinetic friction force between the small block and the platform's top surface is 3.2 Newton. What distance the platform would have traveled when the small block and the platform reach the same velocity (therefore no more kinetic friction between the two)?