A ball is rolling down a sloped ramp. Which of the following pairs of components will help us analyse the ball's motion?

To analyze the ball's motion rolling down a sloped ramp, we would need to consider the following pairs of components:

1. Gravity and Friction: Gravity pulls the ball down the slope and friction acts against the motion of the ball, slowing it down. The angle of the slope will affect how much gravity pulls the ball down the slope.

2. Velocity and Acceleration: Velocity is the speed of the ball in a given direction, in this case, down the slope. Acceleration is the rate at which the velocity of the ball is changing. In this case, if the slope is smooth and the angle of the slope remains constant, the ball should accelerate at a constant rate.

3. Mass and Inertia: The mass of the ball will affect how much it is affected by gravity and how much it resists changes in its state of motion (inertia). A heavier ball will roll down the slope faster than a lighter one, all other things being equal.

4. Kinetic and Potential Energy: As the ball rolls down the slope, it is converting potential energy (due to its height on the slope) into kinetic energy (due to its motion). This energy conversion continues until the ball reaches the bottom of the slope, at which point all of its potential energy has been converted into kinetic energy.

These pairs of components will help us analyze the ball's motion as it rolls down the sloped ramp.