When two objects slide down an incline, will the heavier object always accelerate faster than the lighter one?

When discussing the motion of objects sliding down an incline, it is essential to understand the forces at play, particularly gravity and any friction that might be present. On a frictionless incline, both the heavier object and the lighter object experience the same gravitational force per unit mass, which results in the same acceleration for both objects.

In the absence of friction, according to Newton's second law of motion, the mass cancels out when calculating the acceleration due to gravity. This means that all objects, regardless of their mass, will accelerate at the same rate when rolling down an incline. Thus, heavier objects do not necessarily accelerate faster than lighter ones in this situation. This reasoning leads to the conclusion that the statement is false.

Factors such as the angle of the incline or the presence of friction can influence the objects' motions, but they do not change the fundamental principle that, without friction, weight does not affect acceleration. Therefore, it is accurate to say that the correct answer is that the heavier object does not always accelerate faster than the lighter one.