Final answer:
True, a train with a much larger mass than a bike will have slower acceleration than the bike if both are subjected to the same force, according to Newton's second law of motion.
Step-by-step explanation:
True: The statement is true that if a train is moving with 15N of force and a bike which has a much smaller mass than the train is also moving with 15N of force, then the train’s acceleration will be slower than the bike’s acceleration. This is because acceleration is given by Newton's second law, which states that the force F on an object is equal to its mass m multiplied by its acceleration a (F = ma). Given that the force is the same for both the train and the bike, but the mass of the train is much larger, the resulting acceleration for the train will be smaller compared to the bike.
As an example, if we consider a bike with a mass of 60 kg and a train with a mass of 30,000 kg both subject to a force of 15N, the bike's acceleration would be a = F/m = 15N/60kg = 0.25 m/s², whereas the train's acceleration would be a = F/m = 15N/30,000kg = 0.0005 m/s², which is significantly less than that of the bike. Thus, even with the same amount of force applied, lighter objects will accelerate more than heavier ones. The greater the mass of the object, the less acceleration it will experience when the same force is applied.