I think the first statement, THE KINETIC ENERGY OF AN OBJECT REMAINS THE SAME IF FRICTION IS ABSENT, follows from Newton's laws about the energy of a moving object. It is related to Newton's 1st law of motion.
Newton's 3 laws of motion.
First law:In an inertial reference frame, an object either remains at rest or continues to move at a constant velocity, unless acted upon by a net force.
Second law:In an inertial reference frame, the sum of the forces F on an object is equal to the mass m of that object multiplied by the acceleration a of the object: F = ma.
Third law:When one body exerts a force on a second body, the second body simultaneously exerts a force equal in magnitude and opposite in direction on the first body.