A person of mass m stands on a rope ladder that is hanging from a freely floating balloon of mass M. The balloon is initially at rest with respect to the ground. (The buoyant force on the person-balloon system is countering the force of gravity.)
At what speed will the balloon move if the person starts to climb the rope ladder at constant velocity v relative to the ladder? (Use the following as necessary: m, M, and v for the speed of the person with respect to the ladder.)