Task id11978

Given a balloon with constant volume V=1.10 m3. The mass of the shell (neglect the volume of the shell) is m0=0.187 kg. The ball must start at ambient air temperature t1=20 °C and normal atmospheric pressure p0=1.013•105 Pa. Air density under these conditions p1=1.2 kg/m3. Complete the following tasks: 1. Calculate the temperature t2 that the heated air inside the ball must have so that it can float freely in the air. 2. The air inside the ball tied to the cable is heated to a constant temperature t3=110 °C. Calculate the force acting on the cable. 3. Let us assume that the hole at the bottom of the ball is closed (the air density in it then remains constant). The ball rises with a constant internal air temperature t3=110 °C in an isothermal atmosphere at 20 °C and pressure at Earth level p0=1.013•105 Pa. Calculate the height h that the ball will reach under these conditions. 4. A ball located at a height h (task 3) is displaced to a height approximately equal to dh = 10 m from its equilibrium position and then released. Describe qualitatively how it moves.