A frictionless sliding hockey puck and two rolling objects, a hoop and a disk, are moving on a horizontal surface with the same initial speed v $$toward an inclined plane. All three objects have the same mass M;$$ both rolling objects have the same radius$$R$,$ and roll without slipping $.$ Assume no air resistance.

$[$Moments of inertia about symmetry axis:$$ Ihoop $=$ M R$2,$ Idisk $=(1/2)$M R$2]$

Which object will go the furthest up the incline?$$ Assume the objects are sent up the