Final answer:
The object will accelerate at a rate of 4 m/s² when pushed by a 400 N force.
Step-by-step explanation:
In order to determine the acceleration of an object when pushed by a certain force, we can use 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.
Given that the object has a mass of 100 kg and is pushed with a force of 400 N, we can calculate the acceleration by dividing the force by the mass:
Acceleration = Force / Mass
Substituting the given values into the equation, we have:
Acceleration = 400 N / 100 kg = 4 m/s²
Therefore, the object will accelerate at a rate of 4 m/s² when pushed by a 400 N force.