In the ideal case of zero resistance, a ball rolling on a level surface will accelerate
False.
It will not accelerate because the extra kinetic energy has to come from somewhere. On a level surface, the gravitational potential energy does not change.
However, it will not decelerate, because no energy is dissipated, apart from air resistance, which I assume is neglected.
That is false.
The acceleration of a ball rolling on a level surface in the ideal case of zero resistance can be explained by Newton's second law of motion.
Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The net force can be calculated by subtracting the force of friction from the applied force.
In the case of zero resistance, there is no force of friction opposing the motion of the ball. Therefore, the net force acting on the ball is equal to the applied force. As a result, the acceleration of the ball will be directly proportional to the applied force and inversely proportional to its mass.
To calculate the acceleration, you need to know the magnitude of the applied force and the mass of the ball. Once you have these values, you can use the equation:
acceleration = applied force / mass
For example, if the applied force is 10 Newtons and the mass of the ball is 2 kilograms, the acceleration would be:
acceleration = 10 N / 2 kg = 5 m/s^2
So, in the ideal case of zero resistance, the ball rolling on a level surface will experience an acceleration determined by the applied force and its mass.