Amos has a mass of M=72 kg. He wants to know what it feels like to fall and land on the surface of the moon, where the acceleration due to gravity is only a=1.6m/s². He attaches a light rope to a box with mass m, and leads the rope vertically over a pulley (negligible friction) that is attached to the ceiling. Then he holds onto the free end of the rope, and proceeds to step off of a chair and fall to the ground. What should be the value of m in order to replicate the sensation of landing on the surface of the moon? The symbolic answer must be written in terms of M,m,a, and g, though not all of these quantities may be needed.
