Final answer:
The statement is true.
Step-by-step explanation:
The subject of the question involves Physics, specifically the branch of mechanics that deals with the motion of objects and the forces acting upon them. In this scenario, a student has described an ice skater applying a horizontal force to a 20-kg block on a frictionless surface, resulting in a uniform acceleration of the block to the right. According to Newton's second law of motion (F=ma), a force applied to an object causes it to accelerate. If there is no friction or other opposing forces, and assuming that the force applied is the only force acting on the block (other than gravity and the normal force which are balanced and orthogonal to the movement), the statement is true.
If, in such a frictionless environment, the applied force were to suddenly stop, the block would continue to move at a constant velocity to the right due to Newton's first law of motion, which states that an object in motion will stay in motion with the same velocity unless acted upon by an unbalanced force.