Force required to keep the object moving with the same velocity:

To understand the force required to keep the object moving with the same velocity, we need to consider the concept of Newton's first law of motion, which states that an object will remain in a state of rest or move in a straight line with a constant velocity unless acted upon by an external force.

Explanation:

1. Newton's First Law of Motion:
According to Newton's first law of motion, an object will continue to move with a constant velocity, in this case, 4m/s, unless acted upon by an external force. Therefore, the object in question will keep sliding with the same velocity of 4m/s.

2. Frictionless Environment:
Since the table is described as frictionless, there is no force opposing the motion of the object. Friction is the force that opposes the relative motion between two surfaces in contact. In this scenario, the absence of friction eliminates the need to counteract any opposing force.

3. No Net Force:
Since the object is moving with a constant velocity, we can conclude that the net force acting on it is zero. This is because according to Newton's second law of motion, the net force acting on an object is equal to the product of its mass and acceleration. As the object is moving with a constant velocity, the acceleration is zero, resulting in a net force of zero.

4. Force Required:
Since there is no net force acting on the object, no additional force is required to keep it moving with the same velocity. The object will continue to move at a constant velocity of 4m/s without any external force being applied.

Conclusion:

In conclusion, to keep the object moving with the same velocity of 4m/s on a frictionless horizontal table, no force is required. The object will continue to slide without any external force acting upon it due to the absence of friction and the zero net force involved.