When a force of 1 newton acts on a mass of 1 kg that is able to move freely, the object will experience an acceleration of 1 m/s^2 in the direction of the force. This is dictated by Newton`s second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Option 1 suggests that the object will move with a speed of 1 km/s, but this is incorrect. While the force will cause the object to accelerate, the speed at any given time will depend on the time it has been subjected to the force and the object`s initial speed.
Option 3 correctly states that the object will move with a speed of 1 m/s. However, this answer does not take into account the acceleration that occurs as a result of the force.
Option 4 proposes an acceleration of 1 km/s^2, which is incorrect. Acceleration is typically measured in meters per second squared (m/s^2), not kilometers per second squared (km/s^2).
Therefore, option 2 is the correct answer as it accurately states that the object will experience an acceleration of 1 m/s^2 in the direction of the force.