The phenomenon of weightlessness is known to students thanks to videos of amazing things astronauts do in spaceships orbiting the Earth. In this article we propose two hands-on activities which give students opportunities to infer by themselves the absence of buoyant force in a gravity accelerated system. The system is a free-falling or vertically tossed bottle filled with water with a small, inflated balloon attached to the bottom by a spring. Practical hints on how to make efficient demonstration experiments are added. (Contains 4 figures.)