In which of the following examples of circular motion is the centripetal acceleration experienced by the object largest? In each case, the arrows represent the speed.

A horizontal disk rotates about a vertical axis through the center of the disc. Two particles X and Y are placed on the disc. The particles do not move relative to the disc. Which of the following is correct for angular speed $\omega$ and linear speed $v$ of X and Y?

In the diagram shown below the ratio of the distance of Y to X is $2$. What is the ratio of acceleration on Y to that of X?

A particle of mass $m$ moves with speed $v$ along a hill that may be assumed to be part of the circle of radius $r$. What is the reaction force on the particle at the highest point of the hill?

A planet has double the mass of earth and half its radius. What is the gravitational field strength on the surface of this planet?

Two spherical bodies in the diagram have the same radius but the left mass has twice the mass of the other body. At which point could the net gravitational field of the two masses have the greatest magnitude?