The incline affects the block's movement by changing the direction of the force of gravity. The force of gravity acts downward towards the center of the earth, but when the incline is introduced, it acts perpendicular to the surface of the incline. This results in a component of the force of gravity that is parallel to the incline, causing the block to move.
Friction is not a factor in this scenario because it is assumed that the incline is frictionless. This means that there is no resistance to the block's movement along the incline, allowing it to move without any additional force acting against it.
The angle of the incline affects the block's acceleration by changing the magnitude of the component of the force of gravity acting parallel to the incline. As the angle of the incline increases, the component of the force of gravity acting parallel to the incline also increases, resulting in a greater acceleration of the block.
Yes, the mass of the block does affect its movement on the incline. According to Newton's Second Law of Motion, force is equal to mass times acceleration. This means that a greater mass will require a greater force to accelerate it. Therefore, a heavier block will move slower than a lighter block on the incline.
The length of the incline does not directly affect the block's movement, but it does affect the acceleration of the block. A longer incline will result in a smaller angle, and therefore a smaller component of the force of gravity acting parallel to the incline. This will result in a slower acceleration of the block compared to a shorter incline with a steeper angle.