A force of magnitude \(F\) is exerted on the leftmost face of two blocks sitting next to each other on a slippery surface, with two of their faces touching. The inertia of the block on the right is \(m\), and the inertia of the block on the left is \(2 \mathrm{~m}\).

(a) What is the magnitude of the acceleration of each block?

(b) What are the magnitude and direction of the contact force the left block exerts on the right block?

(c) What are the magnitude and direction of the contact force the right block exerts on the left block?

(d) How do your answers to parts a, b, and c change if the positions of the two blocks are interchanged?