Final answer:
If a constant force applied to an object is doubled, the acceleration of the object will also double, as acceleration is directly proportional to force and inversely proportional to mass, according to Newton's second law of motion.
Step-by-step explanation:
When a constant force, F, is applied to an object with mass m, it accelerates with an acceleration a. According to Newton's second law of motion, the acceleration a of the object is directly proportional to the net external force F and inversely proportional to the mass m, which is mathematically defined as a = F/m. Therefore, if the constant force F is doubled, the acceleration a of the object will also double, assuming the mass m remains constant.
For example, if a wagon with mass 55 kg accelerates at a rate of 0.0255 m/s² when a force F is applied, doubling the force would mean the wagon now accelerates at a rate of 0.0510 m/s², which is double the original acceleration. This illustrates how an increase in applied force will lead to a proportionate increase in acceleration.