Q1. A 16 kg monkey climbs up a mass less rope that runs over a frictionless tree limb and back down to a 15 kg package on the ground (a) what is the magnitude of the least acceleration the monkey must have if it is to lift the package off the ground? If, after the package has been lifted, the monkey stops its climb and holds onto the rope, what are (b) magnitude and (c) direction of the monkey's acceleration and (d) tension in the rope?
Q2. A number of people are riding in a hot-air balloon. The combined mass of the people and balloon is 281 kg. The balloon is motionless in the air, since the downward-acting weight of the people and balloon is balanced by an upward-acting 'buoyant' force. If buoyant force remains constant, how much mass have to be dropped overboard so the balloon acquires an upward acceleration of 0.19 m/s2?