Assuming both balls are made of the same material and have the same shape (e.g., both are solid spheres), the small ball will have a greater acceleration rolling down the incline plane. Here's why:

Factors Affecting Acceleration:

* Gravity: Both balls experience the same gravitational force, but the acceleration due to gravity is the same for all objects regardless of mass.

* Inertia: The larger ball has more mass, meaning it has more inertia (resistance to changes in motion).

* Friction: While friction will play a role, for the sake of simplicity, let's assume the friction between the balls and the incline is negligible.

Why the Smaller Ball Accelerates Faster:

* Rotational Inertia: The smaller ball has less rotational inertia (resistance to changes in rotation). This means it takes less force to get it spinning as it rolls down the incline.

* Energy Distribution: When the balls roll down the incline, their potential energy is converted into both translational (linear) kinetic energy (motion in a straight line) and rotational kinetic energy (spinning). The smaller ball, with less rotational inertia, requires less energy to spin, meaning more energy is directed towards its translational kinetic energy, leading to faster linear acceleration.

In Summary:

Even though gravity acts on both balls equally, the smaller ball's lower rotational inertia allows it to convert more potential energy into linear motion, resulting in a greater acceleration down the incline.